Q23. - Algebra 1

Question

Use the percent proportion to find each number.

36 is what percent of 24?

Step-by-Step Solution

Answer

36 is 150% of 24.

Step 1. Given information.

Some percent of 24 is 36.

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 24 is 36,

Apply the definition of percentage. So,

$x\%\times 24=36$

Step 1. Calculations.

$$\begin{gathered} x\%\times 24=36 \\ \frac{x}{100}\times 24=36 \\ \frac{x}{100}=\frac{36}{24} \\ x=150 \end{gathered}$$

Hence, the value of the number such that the number percent of 24 is 36 is 150.