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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

Name the percent and whole

\[\text{percent}~=~25\%,~\text{whole}~=~64\]

The prompt asks for the part of 64 represented by 25%.

02

Use a benchmark fraction

\[25\%~=~25/100~=~1/4\]

Twenty-five percent is one fourth of a whole.

03

Find one fourth of the whole

\[1/4~\times~64~=~64~/~4~=~16\]

Dividing the whole 64 into four equal parts gives 16 in each part.

04

Check and answer

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

Four equal parts of 16 rebuild the whole 64, so the percent amount is 16.

05

State the requested value

\[16\]

Therefore, 25% of 64 is 16.

+

Another way

  1. Find 50% of 64 as 32, then take half of 32 because 25% is half of 50%.

!

Common mistake

Do not report 25 as the answer. The percent tells what fraction of 64 to find; it is not the resulting amount.

Solution walkthrough video