Chapter SH, Problem 7.3.7EP

To determine

To calculate: To solve the problem using percent proportion and round to the nearest tenth if necessary

Answer to Problem 7.3.7EP

  $32$ is $40\%$ of $80$

Explanation of Solution

Given information: Problem is $32$ is what percent of $80$

Formula Used:

Percent proportion is an equation where a percent is equal to an equivalent ratio

Formula for percent proportion is

  $\frac{amount}{base}=\frac{percent}{100}$

Calculation:

Given problem is as follows:

  $32$ is what percent of $80$

Let the percent be $x$

Using percent proportion,

  $\frac{amount}{base}=\frac{percent}{100}$

Substituting the values,

  $\begin{array}{l}\frac{32}{80}=\frac{x}{100}\\ \frac{x}{100}=\frac{32}{80}\\ \frac{x}{100}=0.4\\ x=0.4\times 100\\ x=40\%\end{array}$

Conclusion:

Hence, $32$ is $40\%$ of $80$