Q34. - Algebra 1

Question

Use the percent proportion to find each number.

24 is 60% of what number?

Step-by-Step Solution

Answer

24 is 60% of 40.

Step 1.

Percent means parts per hundred. It is indicated by the symbol %.

To express any number to a fraction that is in percent form, divide that number by 100 and drop that percent sign.

Step 2. Formula used.

In order to find, a number, x is how many percent of another number y, use the below formula

$\frac{x}{y}\times 100\%$

Step 3. Find the actual number y.

To find 24 is 60% of what number, substitute 24 for x and equate the above formula to 60 and solve further for y as shown below:

$\begin{array}{c}\frac{24\times 100}{y}\%=60\%\\ 24\times 100=60y\\ y=\frac{2400}{60}\\ y=40\end{array}$

Therefore, 24 is 60% of 40.