Chapter 7, Problem 19CR

To determine

To find: The percent of the number.

Answer to Problem 19CR

The $40\%\text{ of 85 is 34}\text{.}$

Explanation of Solution

Given information: What percent of $85$ is $34$ ?

Calculation: Percent $(\%)$ means ‘out of $100$ ’ and when dealing with percents the word ‘of’ means ‘times or to multiply’.

Let, The percent we are looking for is $x\text{ \%}$ .

Hence, $x\%$ can be written as $\frac{x}{100}$ and $x\%\text{ of 85}$ can be written as $\frac{x}{100}\times 85$ .

Let’s find the value of $x$ ,

  $\begin{array}{l}\frac{x}{100}\times 85=34\\ x=\frac{34\times 100}{85}\\ x=\frac{34\times 20}{17}\\ x=2\times 20\\ x=40\end{array}$

Hence, The $40\%\text{ of 85 is 34}\text{.}$