Q22. - Algebra 1

Question

Use the percent proportion to find each number.

15 is what percent of 12?

Step-by-Step Solution

Answer

15 is 125% of 12.

Step 1. Given information.

Some percent of 12 is 15.

Step 2. Definition of percentage.

A percentage is a ratio that can be expressed as a fraction of 100. 

Step 3. Assumptions and apply the definition of percentage.

Let x percent of 12 be 15.

Apply the definition of percentage. So,

$x\%\times 12=15$

Step 3. Calculations.

$$\begin{gathered} x\%\times 12=15 \\ \frac{x}{100}\times 12=15 \\ \frac{x}{100}=\frac{15}{12} \\ x=125 \end{gathered}$$

Hence, the value of the number such that the number percent of 12 is 15 is 125.