Skill: Find a percent of a quantity

Explanation and Free Practice Resources

Percent of a quantity is understood as a rate per 100: $p\%$ of a quantity $Q$ represents $\frac{p}{100}\times Q$ , or an equivalent fraction or decimal multiplication. Double number lines, tape diagrams, tables, and equations can show this relationship and support reasonable interpretations, such as recognizing that 25% is one-fourth; the focus is on accessible whole-number quantities and familiar percent values, not generalized percent-change equations or solving for an unknown base or percent.

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Detailed Explanation: Find a percent of a quantity

A percent tells how many out of 100. To find a percent of a quantity, write the percent as a fraction out of 100 and multiply by the quantity.

Example: Find $(25\%)$ of $(40)$ .

Write $(25\%)$ as a fraction:

25\%=\frac{25}{100}

Multiply by $(40)$ :

\frac{25}{100}\times 40

Notice that $\frac{25}{100}=\frac14$ :

\frac14\times 40=10

Therefore, $\boxed{25\%\text{ of }40=10}$ .

This makes sense because $(25\%)$ is one-fourth, and one-fourth of $(40)$ is $(10)$ .

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Percent of a number (1% multiples)

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