percentages problem solving year 5

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How to Solve Percent Problems? (+FREE Worksheet!)

Learn how to calculate and solve percent problems using the percent formula.

Related Topics

• How to Find Percent of Increase and Decrease
• How to Find Discount, Tax, and Tip
• How to Do Percentage Calculations
• How to Solve Simple Interest Problems

Step by step guide to solve percent problems

• In each percent problem, we are looking for the base, or part or the percent.
• Use the following equations to find each missing section. Base \(= \color{black}{Part} \ ÷ \ \color{blue}{Percent}\) \(\color{ black }{Part} = \color{blue}{Percent} \ ×\) Base \(\color{blue}{Percent} = \color{ black }{Part} \ ÷\) Base

Percent Problems – Example 1:

\(2.5\) is what percent of \(20\)?

In this problem, we are looking for the percent. Use the following equation: \(\color{blue}{Percent} = \color{ black }{Part} \ ÷\) Base \(→\) Percent \(=2.5 \ ÷ \ 20=0.125=12.5\%\)

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Percent problems – example 2:.

\(40\) is \(10\%\) of what number?

Use the following formula: Base \(= \color{ black }{Part} \ ÷ \ \color{blue}{Percent}\) \(→\) Base \(=40 \ ÷ \ 0.10=400\) \(40\) is \(10\%\) of \(400\).

Percent Problems – Example 3:

\(1.2\) is what percent of \(24\)?

In this problem, we are looking for the percent. Use the following equation: \(\color{blue}{Percent} = \color{ black }{Part} \ ÷\) Base \(→\) Percent \(=1.2÷24=0.05=5\%\)

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Percent problems – example 4:.

\(20\) is \(5\%\) of what number?

Use the following formula: Base \(= \color{black}{Part} \ ÷ \ \color{blue}{Percent}\) \(→\) Base \(=20÷0.05=400\) \( 20\) is \(5\%\) of \(400\).

Exercises for Calculating Percent Problems

Solve each problem..

• \(51\) is \(340\%\) of what?
• \(93\%\) of what number is \(97\)?
• \(27\%\) of \(142\) is what number?
• What percent of \(125\) is \(29.3\)?
• \(60\) is what percent of \(126\)?
• \(67\) is \(67\%\) of what?

Download Percent Problems Worksheet

• \(\color{blue}{15}\)
• \(\color{blue}{104.3}\)
• \(\color{blue}{38.34}\)
• \(\color{blue}{23.44\%}\)
• \(\color{blue}{47.6\%}\)
• \(\color{blue}{100}\)

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Percentage Worksheets Percentages of Numbers

Welcome to our Finding Percentage Worksheets. In this area, we have a selection of percentage worksheets for 6th graders designed to help children learn and practice finding percentages of numbers.

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• How to Find Percentages of a Number
• Finding Simple Percentages Worksheets
• Finding Simple Percentages Online Quiz
• Finding Harder Percentages Worksheets
• Finding (Harder) Percentages Online Quiz
• More related Math resources

Percentage Learning

Percentages are another area that children can find quite difficult. There are several key areas within percentages which need to be mastered in order.

Our selection of percentage worksheets will help you to find percentages of numbers and amounts, as well as working out percentage increases and decreases and converting percentages to fractions or decimals.

Key percentage facts:

• 50% = 0.5 = ½
• 25% = 0.25 = ¼
• 75% = 0.75 = ¾
• 10% = 0.1 = 1 ⁄ 10
• 1% = 0.01 = 1 ⁄ 100

Percentage Worksheets

How to work out percentages of a number.

This page will help you learn to find the percentage of a given number.

There is also a percentage calculator on the page to support you work through practice questions.

• How to find percentage of numbers support

Finding Percentage Worksheets

Here you will find a selection of worksheets on percentages designed to help your child understand how to work out percentages of different numbers.

The sheets are graded so that the easier ones are at the top.

The sheets have been split up into sections as follows:

• finding simple percentages 1%, 10%, 50% and 100%;
• finding multiples of 5%;
• finding any percentage of a number.

The percentage worksheets have been designed for students in 6th grade, and all the sheets come with an answer sheet.

Finding Simple Percentages (1%, 10%, 50% and 100%)

These sheets are a great way to start off learning percentages.

All the questions involve finding either 1%, 10%, 50% or 100% of different numbers.

• Finding Simple Percentages 1
• PDF version
• Finding Simple Percentages 2
• Finding Simple Percentages 3

Finding Simple Percentages Quiz

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This quick quiz tests your understanding and skill at finding simple percentages of different amounts.

Fun Quiz Facts

• This quiz was attempted 1,329 times last academic year. The average (mean) score was 13.4 out of 19 marks.
• Can you beat the mean score?

Finding Harder Percentages

• Find Percentages 1
• Find Percentages 2
• Find Percentages 3
• Find Percentages 4
• Find Percentages 5

Finding Percentages Walkthrough Video

This short video walkthrough shows several problems from our Finding Percentages Worksheet 3 being solved and has been produced by the West Explains Best math channel.

If you would like some support in solving the problems on these sheets, please check out the video below!

Finding Percentages Quiz

This quick quiz tests your understanding and skill at finding a range of percentages of different amounts.

More Recommended Math Worksheets

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Percentage of Money Amounts

Often when we are studying percentages, we look at them in the context of money.

The sheets on this page are all about finding percentages of different amounts of money.

• Money Percentage Worksheets

Percentage Word Problems

Once your child is confident finding percentages of a range of numbers, they can start using their knowledge to solve problems involving percentages.

The worksheets in this section contain a range of percentage problems set in different contexts.

• Percentage Word Problems 5th Grade
• 6th Grade Percent Word Problems

How can I work out the percentage increase (or decrease)?

Take a look at our How to Work Out Percentage Increase/Decrease page.

This page is all about finding the percentage increase or decrease between two numbers.

We also have a percentage increase calculator that will work it all out for you at the click of a button.

• How to Work out the Percentage Increase or Decrease

Converting Percentages to Fractions

To convert a fraction to a percentage follows on simply from converting a fraction to a decimal.

Simply divide the numerator by the denominator to give you the decimal form. Then multiply the result by 100 to change the decimal into a percentage.

The printable learning fraction page below contains more support, examples and practice converting fractions to decimals.

• Converting Fractions to Percentages

• Convert Percent to Fraction

Online Percentage Practice Zone

Our online percentage practice zone gives you a chance to practice finding percentages of a range of numbers.

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5.2.1: Solving Percent Problems

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Learning Objectives

• Identify the amount, the base, and the percent in a percent problem.
• Find the unknown in a percent problem.

Introduction

Percents are a ratio of a number and 100, so they are easier to compare than fractions, as they always have the same denominator, 100. A store may have a 10% off sale. The amount saved is always the same portion or fraction of the price, but a higher price means more money is taken off. Interest rates on a saving account work in the same way. The more money you put in your account, the more money you get in interest. It’s helpful to understand how these percents are calculated.

Parts of a Percent Problem

Jeff has a coupon at the Guitar Store for 15% off any purchase of $100 or more. He wants to buy a used guitar that has a price tag of $220 on it. Jeff wonders how much money the coupon will take off the original $220 price.

Problems involving percents have any three quantities to work with: the percent , the amount , and the base .

• The percent has the percent symbol (%) or the word “percent.” In the problem above, 15% is the percent off the purchase price.
• The base is the whole amount. In the problem above, the whole price of the guitar is $220, which is the base.
• The amount is the number that relates to the percent. It is always part of the whole. In the problem above, the amount is unknown. Since the percent is the percent off , the amount will be the amount off of the price.

You will return to this problem a bit later. The following examples show how to identify the three parts: the percent, the base, and the amount.

Identify the percent, amount, and base in this problem.

30 is 20% of what number?

Percent: The percent is the number with the % symbol: 20%.

Base : The base is the whole amount, which in this case is unknown.

Amount: The amount based on the percent is 30.

Percent=20%

Base=unknown

The previous problem states that 30 is a portion of another number. That means 30 is the amount. Note that this problem could be rewritten: 20% of what number is 30?

Identify the percent, base, and amount in this problem:

What percent of 30 is 3?

The percent is unknown, because the problem states " What percent?" The base is the whole in the situation, so the base is 30. The amount is the portion of the whole, which is 3 in this case.

Solving with Equations

Percent problems can be solved by writing equations. An equation uses an equal sign (=) to show that two mathematical expressions have the same value.

Percents are fractions, and just like fractions, when finding a percent (or fraction, or portion) of another amount, you multiply.

The percent of the base is the amount.

Percent of the Base is the Amount.

\[\ \text { Percent } {\color{red}\cdot}\text { Base }{\color{blue}=}\text { Amount } \nonumber \]

In the examples below, the unknown is represented by the letter \(\ n\). The unknown can be represented by any letter or a box \(\ \square\) or even a question mark.

Write an equation that represents the following problem.

\(\ 20 \% \cdot n=30\)

Once you have an equation, you can solve it and find the unknown value. To do this, think about the relationship between multiplication and division. Look at the pairs of multiplication and division facts below, and look for a pattern in each row.

Multiplication and division are inverse operations. What one does to a number, the other “undoes.”

When you have an equation such as \(\ 20 \% \cdot n=30\), you can divide 30 by 20% to find the unknown: \(\ n=30 \div 20 \%\).

You can solve this by writing the percent as a decimal or fraction and then dividing.

\(\ n=30 \div 20 \%=30 \div 0.20=150\)

What percent of 72 is 9?

\(\ 12.5 \% \text { of } 72 \text { is } 9\).

You can estimate to see if the answer is reasonable. Use 10% and 20%, numbers close to 12.5%, to see if they get you close to the answer.

\(\ 10 \% \text { of } 72=0.1 \cdot 72=7.2\)

\(\ 20 \% \text { of } 72=0.2 \cdot 72=14.4\)

Notice that 9 is between 7.2 and 14.4, so 12.5% is reasonable since it is between 10% and 20%.

What is 110% of 24?

\(\ 26.4 \text { is } 110 \% \text { of } 24\).

This problem is a little easier to estimate. 100% of 24 is 24. And 110% is a little bit more than 24. So, 26.4 is a reasonable answer.

18 is what percent of 48?

• \(\ 0.375 \%\)
• \(\ 8.64 \%\)
• \(\ 37.5 \%\)
• \(\ 864 \%\)

Incorrect. You may have calculated properly, but you forgot to move the decimal point when you rewrote your answer as a percent. The equation for this problem is \(\ n \cdot 48=18\). The corresponding division is \(\ 18 \div 48\), so \(\ n=0.375\). Rewriting this decimal as a percent gives the correct answer, \(\ 37.5 \%\).

Incorrect. You may have used \(\ 18\) or \(\ 48\) as the percent, rather than the amount or base. The equation for this problem is \(\ n \cdot 48=18\). The corresponding division is \(\ 18 \div 48\), so \(\ n=0.375\). Rewriting this decimal as a percent gives the correct answer, \(\ 37.5 \%\).

Correct. The equation for this problem is \(\ n \cdot 48=18\). The corresponding division is \(\ 18 \div 48\), so \(\ n=0.375\). Rewriting this decimal as a percent gives \(\ 37.5 \%\).

Incorrect. You probably used 18 or 48 as the percent, rather than the amount or base, and also forgot to rewrite the percent as a decimal before multiplying. The equation for this problem is \(\ n \cdot 48=18\). The corresponding division is \(\ 18 \div 48\), so \(\ n=0.375\). Rewriting this decimal as a percent gives the correct answer, \(\ 37.5 \%\).

Using Proportions to Solve Percent Problems

Percent problems can also be solved by writing a proportion. A proportion is an equation that sets two ratios or fractions equal to each other. With percent problems, one of the ratios is the percent, written as \(\ \frac{n}{100}\). The other ratio is the amount to the base.

\(\ \text { Percent }=\frac{\text { amount }}{\text { base }}\)

Write a proportion to find the answer to the following question.

30 is 20% of 150.

18 is 125% of what number?

• \(\ 0.144\)
• \(\ 694 \frac{4}{9}\) (or about \(\ 694.4\))

Incorrect. You probably didn’t write a proportion and just divided 18 by 125. Or, you incorrectly set up one fraction as \(\ \frac{18}{125}\) and set this equal to the base, \(\ n\). The percent in this case is 125%, so one fraction in the proportion should be \(\ \frac{125}{100}\). The base is unknown and the amount is 18, so the other fraction is \(\ \frac{18}{n}\). Solving the proportion \(\ \frac{125}{100}=\frac{18}{n}\) gives \(\ n=14.4\).

Correct. The percent in this case is 125%, so one fraction in the proportion should be \(\ \frac{125}{100}\). The base is unknown and the amount is 18, so the other fraction is \(\ \frac{18}{n}\). Solving the proportion \(\ \frac{125}{100}=\frac{18}{n}\) gives \(\ n=14.4\).

Incorrect. You probably put the amount (18) over 100 in the proportion, rather than the percent (125). Perhaps you thought 18 was the percent and 125 was the base. The correct percent fraction for the proportion is \(\ \frac{125}{100}\). The base is unknown and the amount is 18, so the other fraction is \(\ \frac{18}{n}\). Solving the proportion \(\ \frac{125}{100}=\frac{18}{n}\) gives \(\ n=14.4\).

Incorrect. You probably confused the amount (18) with the percent (125) when you set up the proportion. The correct percent fraction for the proportion is \(\ \frac{125}{100}\). The base is unknown and the amount is 18, so the other fraction is \(\ \frac{18}{n}\). Solving the proportion \(\ \frac{125}{100}=\frac{18}{n}\) gives \(\ n=14.4\).

Let’s go back to the problem that was posed at the beginning. You can now solve this problem as shown in the following example.

Jeff has a coupon at the Guitar Store for 15% off any purchase of $100 or more. He wants to buy a used guitar that has a price tag of $220 on it. Jeff wonders how much money the coupon will take off of the $220 original price .

The coupon will take $33 off the original price.

You can estimate to see if the answer is reasonable. Since 15% is half way between 10% and 20%, find these numbers.

\(\ \begin{array}{l} 10 \% \text { of } 220=0.1 \cdot 220=22 \\ 20 \% \text { of } 220=0.2 \cdot 220=44 \end{array}\)

The answer, 33, is between 22 and 44. So $33 seems reasonable.

There are many other situations that involve percents. Below are just a few.

Evelyn bought some books at the local bookstore. Her total bill was $31.50, which included 5% tax. How much did the books cost before tax?

The books cost $30 before tax.

Susana worked 20 hours at her job last week. This week, she worked 35 hours. In terms of a percent, how much more did she work this week than last week?

Since 35 is 175% of 20, Susana worked 75% more this week than she did last week. (You can think of this as, “Susana worked 100% of the hours she worked last week, as well as 75% more.”)

Percent problems have three parts: the percent, the base (or whole), and the amount. Any of those parts may be the unknown value to be found. To solve percent problems, you can use the equation, \(\ \text { Percent } \cdot \text { Base }=\text { Amount }\), and solve for the unknown numbers. Or, you can set up the proportion, \(\ \text { Percent }=\frac{\text { amount }}{\text { base }}\), where the percent is a ratio of a number to 100. You can then use cross multiplication to solve the proportion.

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Y5 Fractions, Decimals and Percent Lesson 19 - Word Problems - Year 5

Subject: Mathematics

Age range: 7-11

Resource type: Lesson (complete)

Last updated

6 September 2023

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This is a complete lesson pack with high quality resources for Year 5 Fractions, Decimals and Percentages - Word Problems.

This lesson pack includes:

• Differentiated Activity Sheets

The lesson forms a part of a series of lessons on Fractions, Decimals and Percentages . Other lessons in this series are:

• Lesson 1: Equivalent Fractions
• Lesson 2: Compare and Order Fractions
• Lesson 3: Improper Fractions and Mixed Numbers
• Lesson 4: Converting between Improper Fractions and Mixed Numbers
• Lesson 5: Adding Fractions >1
• Lesson 6: Subtracting Fractions >1
• Lesson 7: Adding Fractions (different denominators)
• Lesson 8: Subtracting Fractions (different denominators)
• Lesson 9: Multiplying Fractions by Whole Numbers
• Lesson 10: Multiplying Mixed Numbers by Whole Numbers
• Lesson 11: Tenths and Hundredths
• Lesson 12: Thousandths
• Lesson 13: Rounding Decimals (from 2 d.p.)
• Lesson 14: Comparing Decimals (3 d.p.)
• Lesson 15: Adding Decimals (3 d.p.)
• Lesson 16: Subtracting Decimals (3 d.p.)
• Lesson 17: Percent
• Lesson 18: Equivalent Fractions, Decimals and Percentages
• Lesson 19: Word Problems

You can find the unit bundle here: https://www.tes.com/teaching-resource/resource-12562751

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A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

Y5 Unit Bundle Fractions , Decimals and Percentages- Year 5

This is a complete unit pack with high quality resources for Year 4 Fractions and Decimals. It includes 19 lesson packs covering the following topics: Lesson 1: Equivalent Fractions Lesson 2: Compare and Order Fractions Lesson 3: Improper Fractions and Mixed Numbers Lesson 4: Converting between Improper Fractions and Mixed Numbers Lesson 5: Adding Fractions >1 Lesson 6: Subtracting Fractions >1 Lesson 7: Adding Fractions (different denominators) Lesson 8: Subtracting Fractions (different denominators) Lesson 9: Multiplying Fractions by Whole Numbers Lesson 10: Multiplying Mixed Numbers by Whole Numbers Lesson 11: Tenths and Hundredths Lesson 12: Thousandths Lesson 13: Rounding Decimals (from 2 d.p.) Lesson 14: Comparing Decimals (3 d.p.) Lesson 15: Adding Decimals (3 d.p.) Lesson 16: Subtracting Decimals (3 d.p.) Lesson 17: Percent Lesson 18: Equivalent Fractions, Decimals and Percentages Lesson 19: Word Problems Each lesson pack includes: * PowerPoint Presentation * Differentiated Activity Sheets * Challenge Cards * A4 Poster

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Anonymous NBA player poll 2024: LeBron or Jordan as the GOAT? Most overrated? Finals favorite?

Sample size matters, people.

So when The Athletic launched its first NBA player poll in 2019, with 127 players answering questions about league matters so honestly because of the anonymity they were granted, the bar was set very high. We hit triple digits again last year (108 players), when the popular poll returned in full force after a COVID-19-induced hiatus because of limited locker room access for reporters during that time.

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This time around, with familiar topics like MVP, “most overrated,” “player you’d least like to fight” and the referees to discuss, as well as new debates over the 65-game rule and the commissioner’s letter grade, our NBA staff interviewed a whopping 142 players from March 5 through April 11. That’s nearly a third of the entire league, with unfiltered views of stars and role players alike. And yes, all 30 teams had a voice.

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As is always the case, not every player answered every question. But the unprecedented participation means there are more opinions and insights than ever. There’s a bonus question, too, with players telling us which non-NBA player is their current favorite athlete (yes, as you might have imagined, Caitlin Clark received a few votes).

Away we go…

( Editor’s Note: In some cases, the combined percentages of all the answers to a question may not add up to 100 percent, because individual percentages have been rounded up or down to the nearest tenth of a percentage point.)

Here’s a not-so-bold prediction when it comes to the actual MVP race: Nikola Jokić is going to win it by a far more significant margin than the one you see above. This has been the trend with our polls, with players typically seeing it very differently from the 100 media members who vote on the award every year.

So while Jokić is considered the heavy front-runner , it should come as no surprise that Shai Gilgeous-Alexander came so close to taking the top honor here. And bear in mind, these votes were taken before Oklahoma City secured the top seed in the Western Conference on the last day of the regular season.

Luka Dončić was simply incredible down the season’s home stretch, but — like SGA — didn’t see his full body of work reflected in the polling because of the timing factor in the process.

Jokić voters

• “He’s Jokić. He affects the game in many ways that people just can’t understand — both offensively and defensively, honestly. His defense has gotten a lot better.”

• “He’s unstoppable.”

• “To be this effective the year after winning a championship, when it’s supposed to be harder, is impressive.”

• “Nikola Jokić is MVP. Consistent, still winning, still affecting the team in a number of ways. And it’s noticeable when he’s off the floor.”

• “He’s changed the game. His defense is underrated. He just knows the game so much.”

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• “No one expected the Thunder to be what they are this season, and he’s the head of that snake. And he’s consistent every single game — same numbers, and they’re incredible numbers. And he plays on both ends of the floor.”

• “I think he’s the most consistent No. 1 option on his team without a consistent helper. Like, there isn’t really a clear second superstar even though Jalen Williams is coming on as well. I think what he’s doing every game is the most impressive, and it translates into wins.”

• “Obviously, he’s scoring the ball. But the way he shares it and has his team involved is very unselfish. And I think he’s up there in steals as well (tied with Sacramento ’s De’Aaron Fox for the league lead at two per game). And he’s been doing it all season long. …He’s just been really consistent in the style of play that he has. He’s just been dominating the game, and it’s not just points. It’s rebounds, assists, and he’s done a great job of leading that team over there.”

• “Underdog. Just with what OKC is doing, nobody would be mad if they were a 10 seed with their roster. If they were a 10 seed, nobody would be like, ‘Oh, they’re having a bad year.’ They’d be like, ‘They’re still rebuilding.’ … With what he’s doing, I think that’s my MVP.”

Victor Wembanyama said last month that his friend and fellow Frenchman Rudy Gobert would be a worthy winner of the 2023-24 NBA Defensive Player of the Year Award. But Wembanyama also added that, in future seasons, he, and not Gobert, would be the front-runner.

Their NBA peers, however, feel Wembanyama’s time has already arrived. Players voted the towering Spurs rookie as the league’s best defender right now.

Wembanyama led the league in blocks, averaging 3.58 per game. His next closest competitor, Utah’s Walker Kessler , recorded 2.41 blocks per game.

“He just makes it so hard to finish at the rim,” one opponent said of Wembanyama.

Another player said: “He’s changing the game. Players — you can’t say ‘scared’ — but he’s changing their shots. He deserves it.”

The Grizzlies certainly looked terrified in this three-on-one Wemby highlight that went viral earlier this month.

Grizzlies 3-on-1 against Wemby pic.twitter.com/TEdtKfpYNq — Rob Perez (@WorldWideWob) April 10, 2024

Gobert, who would join Dikembe Mutombo and Ben Wallace as the only four-time winners of the DPOY award if he wins it this season, finished fifth in our vote (6 percent). As you’ll see later on in this poll, this isn’t the last time Gobert is questioned by his peers.

Jrue Holiday, the top vote-getter by a wide margin in last year’s poll, placed second in the voting this year at 12.9 percent, barely trailing Wembanyama.

Wembanyama voter

“He really, like, affects everything in the paint. He has dudes not even trying to go to the rim. He damn near leads the league in blocks right now, and this is his first year. He’s doing it in limited time too.”

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Holiday voter

“I think guard defenders are more impressive because they’re on the ball all the time. As a big man, you make up mistakes by helping off your man. So it’s easier. Protecting the paint is somewhat easier than staying in front of the ball.”

Lu Dort voter

“(He) guards multiple positions, (is a) physical defender, guards without fouling — even when at the beginning of the season when the referees were calling fouls. Now, it helps him even more, because they’re not calling fouls.”

Wembanyama entered last year’s draft with enormous hype. The answers to this question once again demonstrate that, in the players’ eyes, the adulation was deserved.

“Some of the stuff he does offensively, the way he moves, it just looks so fluid,” one player said. “Just seeing him from afar, he’s playing the right way. He has the right principles. He’s focused on the right things. I like him.”

Wembanyama’s age factored into some of the players’ votes, as he turned 20 in January. Naturally, any team executive looking to build a title-contending team wants as long of a runway as possible.

“You can have him for 20 years,” one of the players said.

Another player who chose Wemby explained his vote like this: “The upside and at 20 years old, you can see that if he stays healthy and continues to get better, he can be a truly great player. I don’t want to put a ceiling on him.”

Jokić, on the other hand, is 29. So, it says something about how much his peers respect his game that so many of them still would make him their first signee even though he’s nearly one decade older than Wembanyama. Jokić is seven years older than Minnesota’s Anthony Edwards and four years older than Dončić.

Do you think Jokić faring so well is impressive? How about the fact that LeBron James is still getting votes in this young man’s category at the ripe old age of 39 (he’ll be 40 on Dec. 30). Ditto for Steph Curry , who turned 36 on March 14. The same can’t be said for 29-year-old Giannis Antetokounmpo , who won this category by a landslide in both 2019 (36.4 percent to Anthony Davis’ 10.4 percent) and 2023 (52.4 percent to Jokić’s 8.7 percent) but registered a measly 2.2 percent this time around.

There’s just something about Gobert’s game that his peers don’t like . Maybe the skepticism stems from a lack of playoff success, as none of Gobert’s teams have advanced to the conference finals. Or maybe it all traces back to the bubble in 2020 when the Clippers’ Terance Mann buried all those 3s over Gobert in the West semifinals and sparked serious scrutiny about the perceived limitations of the big man’s game.

Gobert has the elite résumé, though, with the three DPOY awards, three All-Star appearances, an All-NBA Second Team selection and three All-NBA Third Team nods. He has the receipts from this season , as he was the indisputable anchor of a Minnesota defense that was the best in the league while Gobert finished second in rebounds (12.9) and sixth in blocks (2.1) on a team that came just two wins shy of earning the No. 1 seed in the West (it finished third). And as our resident Timberwolves expert Jon Krawczynski wrote in January , the truth about those Jazz teams was that their lack of perimeter defense was the real problem that was exposed in those playoffs. These Timberwolves don’t have that deficiency.

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Still, Gobert joins Draymond Green (2019) and Trae Young (2023) as the latest winner of this undesirable award.

Seven seasons in, Derrick White’s top claim to NBA fame is finishing 16th in the media’s 2018-19 Most Improved Player voting and being named to the 2022-23 NBA All-Defensive Second Team. Jalen Williams, in his second season, placed second in last season’s Rookie of the Year voting but was also routinely mistaken on opposing telecasts for the Thunder’s “other” Jaylin Williams. Both Jalen Williams and White were lightly recruited coming out of high school.

So yes, in other words, they’re very familiar with the experience of being underrated. And while both are receiving more acclaim, they’re not the ones commanding the brightest spotlight on their respective teams.

White plays in the shadows of Jayson Tatum, Jaylen Brown, Kristaps Porziņģis and Holiday. Williams, meanwhile, is on a dynamic young Thunder team where Gilgeous-Alexander commands most of the spotlight alongside big man Chet Holmgren.

One of the players who voted for White said, “I say that every single day: He’s one of the most underrated players in the league. They talk about him more (now), but they still don’t talk about him enough.”

Said another: “(White) defends really well (and) does a little bit of everything on offense.”

It’s notable, too, that Gilgeous-Alexander finished fourth in the players’ most-underrated voting even though he’s a virtual lock to be an All-NBA First Team selection by the media for the second season in a row.

“I don’t know if you can even say it anymore because he’s starting to get his due, but from a players’ perspective, it doesn’t feel like it’s covered enough,” an SGA voter said. “But what Shai has done this year, just how his progression has gone … I don’t know if you can call him underrated, but it almost feels like how for all those years they were talking about Damian Lillard (during his Portland years), how he was kind of flying under the radar (because of Steph Curry). But if you asked players, (they would’ve said) he’s one of the best guards in the league, in the top two. So I’m starting to see some of that with how we’re talking about Shai.”

The legend of James Johnson grows yet again.

Not only is the 6-foot-7, 240-pound, 37-year-old tough guy now a three-time winner of this award, but he continues to inspire fear in his opponents despite playing in just nine games this season. The Pacers forward has been mostly out of sight, but he’s not out of mind.

As many players discussed, it’s Johnson’s formal training as an actual fighter that most concerns them. He previously said that he holds a 20-0 record as a kickboxer, is 7-0 in mixed martial arts fights and has a black belt in karate. His nickname is “Bloodsport.” Need we say more?

In a January podcast interview with former NBA player Ryan Hollins, Johnson shared his opinion that, with a year of training in ground defense, he could beat UFC heavyweight legend Jon Jones in a fight.

“I’m 6ft 8 though.” NBA players James Johnson thinks he can beat Jon Jones in a year pic.twitter.com/FTGeieeKv7 — Bloody Elbow (@BloodyElbow) September 16, 2023

Here’s the best part of Johnson’s latest season, though: Johnson re-signed with Indiana just two days after the game ball kerfuffle between the Pacers and Bucks on Dec. 13. Johnson had been available all season long, but the Pacers just so happened to come calling for him to return after that wild night in which Antetokounmpo gave them all the Big Brother treatment.

Johnson has been on board ever since, with a brief interruption for paperwork purposes. Indiana had to waive him to complete the Pascal Siakam trade with Toronto on Jan. 17 but signed him to a 10-day contract two days later before signing him for the rest of the season.

“He can actually fight,” one player said. “He’s different. He’s crazy. He’s one of those where you won’t win, but if you do win, you’ll have to kill him.”

Another player said: “Is he still in the league? He’s a triple black belt. I’m not f—ing with James. There’s other guys (where) I might actually lose the fight, but I’m not f—ng with James. He might kick me in my head.”

One of Johnson’s former teammates said: “J.J. is actually the coolest dude ever. He’s super cool. I just know his reputation. I know if you mess with him, it can get like that. But he’s one of my favorite teammates that I’ve had.”

Speaking of consistency in this category, Steven Adams (6-11, 250) takes second place behind Johnson for the third consecutive time. The Houston Rockets big man hasn’t played since Jan. 22, 2023, when he suffered a posterior cruciate ligament sprain in his right knee that would later require surgery. But like Johnson, the intimidation factor remains.

“(Adams) knows all the MMA stuff, and he can get you in a chokehold real quick,” one Adams voter said. “He’ll be nice with it, but he’ll choke you out and be like, ‘It’s OK, buddy.’”

And how’s this for a terrifying thought for Rockets opponents during an on-court melee? A healthy Adams and his 7-4, 290-pound teammate, Boban Marjanović , in the same scuffle. The Serbian big man, who played a villain in “John Wick: Chapter 3 — Parabellum” and starred in the below fight scene with Keanu Reeves, garnered votes as well.

“John Wick 3,” one Marjanović voter said in explaining his choice. “It’s not like he can fight, but he’s huge.”

You may have noticed Wembanyama received a vote for the player guys would least like to fight. Picking Wembanyama seemed like an iffy choice considering how thin he is. But, sure enough, Wemby garnered the player’s vote. The reasoning? He would have a massive reach advantage.

Do you think MJ’s getting nervous? King James almost took his (player poll) GOAT crown this time around, and he’ll do just that next year if this voting trend continues.

In this endless debate , His Airness has experienced serious slippage for the third consecutive poll. Jordan had a huge edge in 2019 (73 percent to LeBron’s 11.9 percent) and was still nearly doubling him in 2023 (58.3 percent to 33 percent). Now the gap is only 3.8 percent.

It makes some sense, though, as James is doing things at this late stage of his career that players this age have never done. And these many feats, it’s quite clear, are changing the way some players see this debate. Consider the highlights of his past 14 months…

• Broke Kareem Abdul-Jabbar’s all-time scoring record on Feb. 7, 2023
• Led the Lakers to the West finals three months later
• Led the Lakers to an (inaugural) In-Season Tournament title in December
• Became the first player to be named to a 20th All-Star team in February
• Was one of three players to average at least 25 points, eight assists and seven rebounds this season (the others were Jokić and Dončić)

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As one of us wrote when James became the first player to cross the 40,000-point barrier in early March, the constant comparisons do a disservice to both. Their respective journeys have become too different for the discussion to maintain any merit. But James’ ability to remain elite for this long, and to put together this incredible body of NBA work that started during George W. Bush’s first term as U.S. president in 2003, is forever changing the way his career will be remembered.

As a final note here, someone did, in fact, vote for Paul Pierce as the GOAT. (Insert shrug emoji here…)

The folks who run Madison Square Garden call it “The World’s Most Famous Arena” and the “Mecca.” But what sounds like brash marketing hype also matches the opinions of NBA players.

One player responded: “MSG. It’s the Mecca. It’s classic.”

Another who chose the Garden answered: “At MSG and Crypto, there are bright lights and celebrities.”

The Celtics’ arena historically has gotten a lot of praise for its fans, and nothing’s changed this season. One player said: “Crazy atmosphere. Some big sports fans. It’s so loud in there.” Another said he likes facing the Celtics in Boston because he enjoys playing in a “hostile environment.”

The architects who designed Detroit’s Little Caesars Arena, Charlotte’s Spectrum Center and Memphis’ FedExForum shouldn’t feel bad. Those arenas top this list because the home teams in those venues struggled to draw fans this season relative to other clubs.

Little Caesars Arena, which the Pistons share with the NHL’s Detroit Red Wings, “won” this dubious honor even though its average announced crowd was said to be a respectable 18,159 fans per game.

“No fans, no atmosphere at the moment,” one player said.

Another added: “It’s very open. It’s got to be packed out for it to stand out, and that’s just not what it is.”

The Hornets ranked next to last in home attendance this season, prompting one of the players who voted for Spectrum Center to say, “It’s quiet. Good arena. But it’s quiet.”

One of the NBA’s off-court dramas this season swirled in Washington , where Wizards principal owner Ted Leonsis attempted to move the team and the NHL’s Washington Capitals to Alexandria, Va. Leonsis later scuttled those plans after they failed to move forward in Virginia’s legislature, and Leonsis subsequently reached a deal to remain at Capital One Arena and receive $515 million in funding from the local government to upgrade the arena.

Opposing players don’t like the arena much. One of them said: “Just the way it’s built, it’s a very cold arena. It feels like there’s no soul to it. It feels very empty when you’re there — not by how many people are there. There’s no warmth. I don’t really know how to explain it. … As a player, you like to feel enveloped by the crowd. It doesn’t feel like that.”

You may be wondering why Denver’s Ball Arena, where fans have been rocking for years now, ranks seventh in the voting. The answer: the altitude, which is something the Nuggets and NHL’s Colorado Avalanche lean into as a psychological play. When visiting teams’ buses arrive in the arena’s loading dock, players see a sign that says: “Ball Arena WELCOMES YOU TO THE MILE HIGH CITY, ELEVATION 5,280 FEET.”

“Oh my God, that team needs to be moved,” one player said. “The altitude is crazy. I don’t like it at all. Every time I play there, I’m dog-tired.”

This is a case where players’ opinions appear to have changed in one year. Gregg Popovich won this vote last year, followed by runner-up Steve Kerr.

Erik Spoelstra placed third last year, receiving 9.5 percent of the vote, but has since vaulted to the top. He has come a long way in this poll since getting just 1 percent of the vote (12th place) in 2019 . Considering that his Heat reached the NBA Finals by way of the Play-In last season, it’s safe to assume that earned him even more respect.

“Just the Heat culture — they’re always competing,” one Spoelstra voter said. “They’re always trying to find a way (to win). I feel like they’re always taking guys that fit their system, and that makes them play very good.”

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Popovich remains highly regarded.

“Pop,” one player answered. “Easy. I love those types of coaches, like Pop and Spo. I would rather you ‘mother—’ me than smile in my face.”

The Knicks’ Josh Hart, who voted for Spoelstra, insisted that he be quoted on the record for this one.

“Spo, hands down,” said Hart, who worked with Spoelstra at the FIBA World Cup tournament last summer when the Heat head coach was a Team USA assistant. “Quote me on that one. F–ing love Spo.”

Few coaches get more out of their teams than Tom Thibodeau does. But no coach gets more grief for it than Thibodeau, either.

Thibodeau’s Knicks finished 50-32 and earned the East’s second seed , but New York’s success this season and his two NBA Coach of the Year awards didn’t seem to matter much to players. He’s been named the coach players least would like to play for in all three polls, with this margin (37.7 percent ahead of Doc Rivers) the largest yet (he was 13.5 percent ahead of Chicago’s Jim Boylen in 2019 and 29.1 percent ahead of Houston’s Stephen Silas last year).

Instead of wearing on the Knicks, coach Tom Thibodeau is enhancing them

“I’m too old for those practices,” one player said.

“He’s playing everyone 48 minutes,” another said.

Well, that’s not quite accurate. According to the NBA’s figures , four Knicks players ranked in the top 50 in minutes per game this season: Julius Randle (15th at 35.4 per game), Jalen Brunson (16th at 35.4 per game), Anunoby (35th at 34.0 per game) and Hart (50th at 33.4 per game).

It’s said that the NBA has improved parity in recent years, and that’s true.

But players still think the NBA title race will come down to two teams: the defending champion Nuggets and the team with the league’s best regular-season record, the Celtics.

“Whoever comes out of the East is going to lose to the Western Conference teams,” one player said. “I just think when you look at the landscape out West, the best teams — Denver is my pick. OKC’s too young and they’re not big enough. … The one team that could give (Denver) problems would be the Clippers if they play at their best and they’re healthy, just based on matchups. But continuity in this league is everything, and Denver has it. So that’s my pick.”

Another player who voted for the Nuggets said: “It’s like a factory, plug and play. They play the right way, no matter who’s out there. Shoutout to Jokić.”

Still, Boston was a buzz saw during the regular season, compiling a league-best 64-18 record while finishing first in offensive rating and second in defensive rating .

“When you’ve got Jrue Holiday on the team with Jayson Tatum and Jaylen Brown , who are shot makers, he’s a great defender obviously,” one player said. “And with Kristaps Porziņģis, they have got danger everywhere and defensively as well. Also, their fans make it hard to beat them, for sure.”

All things considered, this report card could have been much worse for the refs. In essence, you had 21.9 percent of the players polled indicating that the officiating job was below average this season and 78.1 percent giving a grade of average or better. Given all the high-profile frustration with the officiating on display this season, as well as the midseason change in “points of emphasis” that empowered defenders again and suppressed scoring , no one should be surprised that they didn’t get straight As.

Voters who gave an F

“Sh–, they don’t know if they want us to play or not play.”

“But they good people…”

Voter who gave a D

“It’s a different sense of entitlement that they feel, and they get a little bit more sensitive than they had previously. Some of the missed calls, it’s just like, that’s not OK. And some of them are blatant. It’s not an easy job by any means. (But) I’ve seen better years.”

Voter who gave a C

“The issue is there’s just too much volatility. But also, the inconsistency. I would say there’s eight elite officials, great officials, and then you have the rest of the 50 that are just, you could carry them in. It makes it hard on those guys. There’s eight elite officials who are great at communicating and at officiating, and then there’s four (who can do) one of each, where they can either officiate or they can communicate. And the rest of them are just … bad.”

Voter who gave a B

“I don’t think people realize how hard that job is. All things considered, they’ve done a good job. That’s not a job I would ever want to have. There’s still definitely room for growth, but within the job and what’s asked of them and where the game’s moving, I think they’ve done a great job.”

Voter who gave an A

“They make the calls that the league wants them to make, right? … And now, we’re just adjusting again, because there’s more holding and grabbing now. So they’re allowing stuff now. I guess they just do whatever they’re told.”

What’s more telling? That 46.2 percent of the players gave the commissioner an A or that none of the 130 players who responded gave him a D or an F?

“Some of the things he does, we’re not going to like, but that’s just us as players,” said one of the players who gave Adam Silver an A. “We like to complain about s—. But I think what he’s doing is great for the league. The In-Season Tournament. The Play-In. All this is to build the luster of the league and to build the TV ratings to make sure they’re in a certain place so when it comes time to do this new TV deal, we can do it.”

Another said: “I’d give him an A. The money’s good. The fans are enjoying the games. We’ve got a new In-Season Tournament that everybody looks forward to now, especially because there’s money on the line. I really wanted to win that In-Season Tournament. I had some plans for that money, for real.”

It’s not all perfect, of course.

“Everything is good except the All-Star Game, and that weekend wasn’t great,” said one player who still gave Silver an A. “Other than that, I feel like it’s been entertaining. I feel like the league’s been real competitive.”

One player who gave Silver a B said: “There’s a big disparity with the referees still. Referees aren’t consistent with their integrity, the way they approach you, and the NBA has a huge problem on its hands. That’s the biggest thing in the NBA right now: the referees. Some people get calls and some people don’t get calls. It may be the same (play), but if it’s Trae Young or somebody else, it looks different.”

In terms of criticism for Silver, several players indicated officiating is one of the few areas in which they believe he has fallen short.

“The only reason (I’m giving Silver) a B and not an A is that I’m not sure that players have the liberty to speak out (against referees) the way it should be,” one player said. “I do, to a certain extent, understand why that is, because you’ve got to create a culture of togetherness and can’t just randomly criticize referees and all that stuff. But some of this stuff, especially with referees, they have an ego and they know that so they act a certain way toward you because they know you’ll lose money if you criticize them. … Adam’s doing a great job of maximizing our money in a great way.”

The new collective bargaining agreement between the league and the players, enacted last summer, includes a provision that says players must appear in at least 65 games to be eligible for most end-of-the-season honors, including MVP, Defensive Player of the Year, the All-NBA teams and All-Defensive teams.

From league officials’ perspective , the new rule is designed to get the league’s best players on the court more often. In addition to benefiting the fans who purchase tickets to games, the theory goes that having such a rule will make the league even more attractive to suitors for the upcoming media rights deal.

The rule has come under fire from some players, even though they voted to accept the new CBA. Keep in mind that the rule is one small part of a large, dense document that came as the result of thorough negotiations between the NBA and the National Basketball Players Association that represents them. Neither side got everything it wanted.

But still, we wondered how players feel about the rule now. In the wake of the sensitive Embiid situation earlier this season, when the reigning MVP was roundly ridiculed for missing a nationally televised Jan. 27 game at Denver because of a left knee injury only to get hurt three days later when Jonathan Kuminga fell on the knee in a game at Golden State, the discussion about whether the rule was putting players in harm’s way was front and center for the second half of the season.

Exactly half of the players who answered the question said they’re against the rule.

“Obviously, I get why they do it in terms of wanting guys to play,” said one player who is against the rule. “But I also think guys will force themselves to play through things sometimes — obviously, the Embiid thing that happened, whether he was right or not to play. I just think it gets risky for guys. If you’re talking about MVP, I think for everyone in the league it’s clear who the MVP is, whether they play 65 or 82 games. From a player’s point of view, I think guys know who the MVP is. It’s always going to be whatever the top two or three or whoever those guys are. So, I just think it’s forcing guys to play sometimes when there (are) legitimate reasons (not to play).”

Some of the players against the 65-game rule said they’re in favor of having a rule but would prefer the threshold be set at a lower number of games.

One player said: “I think that’s a lot of games, honestly, when you think about how the game is played. Back in the day, guys would play 80-some games. They would walk the ball up and post up. But we’re non-stop, and there’s a lot of wear and tear So, guys like Embiid, guys that are superstars in this league, there’s a situation where they might have to fight through games to get to a threshold to get an award. It’s kind of tough, kind of bulls— sometimes. But what if one of those guys, they’re at 60 games, they’ve got a bad knee injury and, in one of those five games, tears his meniscus because he’s trying to get an award? I don’t like that.”

Nearly 45 percent of the players who responded said they were in favor of the rule.

“Sixty-five games, that gives you a 17-game cushion to miss if you need rest or things like that,” one of the rule’s supporters said. “I’m all for it. You’ve got to be out there on the floor if you can.”

Let’s face it, folks: During the 2023-24 college basketball season, no player was more compelling than Clark. And when we were enjoying March Madness, the women’s NCAA Tournament seemed to have more engaging storylines and colorful characters than the men’s.

This got us wondering: Is women’s basketball having a moment within the NBA too?

The answer appears to be a resounding “yes!”

In our survey, Clark not only ranked as the second-favorite current non-NBA athlete, but women’s basketball players — Sabrina Ionescu, Kelsey Plum, Angel Reese, JuJu Watkins, A’ja Wilson and Clark — were named on 12.2 percent of all NBA players’ ballots. Only NFL players were named on more ballots (39.1 percent of them) than women’s basketball players.

“She’s unreal,” one NBA player said about Clark, who went first overall last week to the Indiana Fever in the 2024 WNBA Draft. “I’m excited to see how her journey pans out and what she does for the women’s game.”

Caitlin Clark's whirlwind WNBA Draft week just the start for the in-demand rookie

Now that Clark has finished her college career, who, if anyone, will become the most popular NCAA women’s player? Maybe Watkins, the dynamic 6-foot-2 guard who just finished her first season at USC.

One NBA player said: “Her game is so pretty to watch. She’s so fluid, smooth. … I hadn’t watched a full game (of hers) until tournament time. I’d seen little clips and highlights and stuff. But watching her against UConn the other night, she definitely made a big fan out of me.”

Soccer players — none of them American — were named on the third-highest number of ballots, coming in at 11.3 percent.

Given that the NFL dominates the North American sports landscape, it should come as no surprise that it dominated our poll. Jackson, the Baltimore Ravens quarterback who won his second NFL MVP last season, has a bunch of fans in the NBA.

“He’s one of the best QBs ever since he came into the league,” one player said. “His running ability is crazy.”

But it was one other NFL quarterback — a quarterback far less talented than Jackson — who drew one of the funniest responses in our entire poll: Cousins, the former Commanders and Vikings quarterback who recently signed a four-year, $180 million contract to join the Atlanta Falcons, with $100 million of that total guaranteed.

When an NBA player named Cousins as his favorite current non-NBA athlete, the response elicited a dumbfounded “Why?” from one writer from The Athletic .

The NBA player said: “Kirk Cousins because he gets paid and doesn’t have to win or don’t have to do anything and made $400 million off of one playoff win. Legend.”

(Illustration by John Bradford / The Athletic ; top photos of Rudy Gobert, Victor Wembanyama and Adam Silver: Kenny Giarla, Ronald Cortes, Justin Tafoya / Getty Images)

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