Q10. - Algebra 1

Question

Use the percent proportion to find the following number.

25 is what percent of 125?

Step-by-Step Solution

Answer

25 is 20% of 125.

Step 1. Definition of percent.

Percent of a number is defined as the ratio of number and 100.

Step 2. Formula Used.

To find what percent is the number x of any other number y is given by below formula,

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

Step 3. Find the percent proportion.

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

Here, $x=25$ and $y=125$

$$\begin{gathered} \frac{25}{125}\times 100\%=\frac{2500}{125}\% \left[\mathrm{divideN}\&\mathrm{Dbycommonfactor}125\right] \\ =\frac{\frac{2500}{125}}{\frac{125}{125}}\% \\ =\frac{20}{1}\% \\ =20\% \end{gathered}$$

Hence, 25 is 20% of 125.