Chapter SH, Problem 7.3.9EP

To determine

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

Answer to Problem 7.3.9EP

  $22$ is $20\%$ of $110$

Explanation of Solution

Given information: Problem is $22$ is what percent of $110$

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:

  $22$ is what percent of $110$

Let the percent be $x$

Using percent proportion,

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

Substituting the values,

  $\begin{array}{l}\frac{22}{110}=\frac{x}{100}\\ \frac{x}{100}=\frac{22}{110}\\ \frac{x}{100}=0.2\\ x=0.2\times 100\\ x=20\%\end{array}$

Conclusion:

Hence, $22$ is $20\%$ of $110$