Chapter SH, Problem 7.3.3EP

To determine

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

Answer to Problem 7.3.3EP

  $11.18$ is $13\%$ of $86$

Explanation of Solution

Given information: Problem is $11.18$ is what percent of $86$

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:

  $11.18$ is what percent of $86$

Let the percent be $x$

Using percent proportion,

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

Substituting the values,

  $\begin{array}{l}\frac{11.18}{86}=\frac{x}{100}\\ \frac{x}{100}=\frac{11.18}{86}\\ \frac{x}{100}=0.13\\ x=0.13\times 100\\ x=13\%\end{array}$

Conclusion:

Hence, $11.18$ is $13\%$ of $86$