Chapter 7.4, Problem 6E

To determine

To calculate: the percent that is $36$ of $48$ with the help of the percent equation.

Answer to Problem 6E

The percent that is $36$ of $48$ is $75\%$ .

Explanation of Solution

Given information: Part of the base is $36$ and base is $48$ .

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

Calculation:

To find out the percent which is

  $36$ of $48$ with the help of the percent equation, follow the steps given below:

  $\begin{array}{l}a=p\%·b\text{ [Write the percent equation}\text{.]}\\ 36=p\%·48\text{ [Substitute 36 for a and 48 for }b]\\ 0.75=p\%\text{ [Divide each side by 48 to place the variable on one side of the equation}\text{.]}\\ 75=p\%\text{ [Write decimal as a percent by multiplying 0}\text{.75 by100}\text{.]}\end{array}$

Hence,

  $36$ is $75\%$ Of

  $48$ .