Chapter 7.4, Problem 5C

To determine

To calculate: the number whose $7.5\%$ is $27$ with the help of the percent equation.

Answer to Problem 5C

The number whose $7.5\%$ is $27$ is $360$ .

Explanation of Solution

Given information: Percent is $7.5\%$ and part of the base is $27$ .

Formula used: $a=p\%·b$ where $a$ is a part of the base $b$ and $p\%$ is the percent.

Calculation:

To find out find out the number whose $7.5\%$ is $27$ with the help of the percent equation, follow the steps given below:

  $\begin{array}{l}a=p\%·b\text{ [Write the percent equation}\text{.]}\\ 27=7.5\%·b\text{ [Substitute 27 for a and 7}\text{.5 for }p\%.]\\ 27=0.075·b\text{ [Write percent as a decimal by dividing 7}\text{.5 by 100}\text{.]}\\ 360=b\text{ [Divide each side by 0}\text{.075 to place the variable on one side of the equation}\text{.]}\end{array}$

Hence, $27$ is $7.5\%$ of $360$ .