Chapter SH, Problem 7.3.6EP

To determine

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

Answer to Problem 7.3.6EP

  $430.2$ is $60\%$ of $717$

Explanation of Solution

Given information: Problem is $430.2$ is $21\%$ of what number

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:

  $430.2$ is $60\%$ of what number

Let the number be $x$

Using percent proportion,

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

Substituting the values,

  $\begin{array}{l}\frac{430.2}{x}=\frac{60}{100}\\ x=430.2\times \frac{100}{60}\\ x=430.2\times \frac{10}{6}\\ x=\frac{4302}{6}\\ x=717\end{array}$

Conclusion:

Hence, $430.2$ is $60\%$ of $717$