Chapter 7, Problem 22CR

To determine

To Calculate: What percent of a number is another number.

Answer to Problem 22CR

  $108$ is $90\%$ of $120$

Explanation of Solution

Given Information: The number is $120$ and the number whose percentage is to be found is $108$ .

Method Used: Write the ratio of the numbers as equal to an unknown percentage and solve algebraically.

If the percentage is $p$ , then

  $\frac{108}{120}=p\%$

  $\Rightarrow \frac{108}{120}=\frac{p}{100}$

Multiply the equation by $100$ to get

  $\frac{108\times 100}{120}=\frac{p\times 100}{100}$

  $\Rightarrow p=\frac{10800}{16120}$

  $=90\%$