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All courses Math Foundations · MF.RN.6 12 of 60
Find a percent of a quantity and interpret the result in context.

Find a benchmark percent of a quantity

Problem
Find 25% of 64.
Your answer
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Hint

Start by rewriting 25% as an easier benchmark idea: 25% = 1/4. Then ask yourself, “What is 1/4 of 64?”

A benchmark percent can match a fraction. For this problem, 25% means one fourth of the whole, so divide 64 into 4 equal parts.

Solution walkthrough

01

Recognize the benchmark percent

\[25\%~=~\frac{1}{4}\]

A percent means “out of 100,” and 25 out of 100 is one fourth. So finding 25% of 64 is the same as finding one fourth of 64.

02

Set up the fraction of the whole

\[\frac{1}{4}~\times~64~=~64~\div~4\]

Since 25% is one fourth, take the whole quantity 64 and divide it into 4 equal parts.

03

Compute the amount

\[64~\div~4~=~16\]

One fourth of 64 is 16, so 25% of 64 is 16.

04

State the result

\[25\%~\text{ of }~64~=~16\]

The percent amount asked for is 16.

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Another way

  1. You can also find 50% of 64 first: 50% of 64 is 32, and 25% is half of 50%, so half of 32 is 16.

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Common mistake

A common mistake is answering 25 instead of finding 25% of 64. The problem is not asking for the percent by itself; it is asking for the part of 64 that matches 25%.