Q14. - Algebra 1

Question

Find each percent. 

What percent of 25 is 75?

Step-by-Step Solution

Answer

The $33.33\%$ of $25$ is $75$.

Step 1. Given information.

We have two numbers $25$ and $75$.

To find the percent of $25$ is $75$.

Step 2. Apply the concept.

If we have two numbers $a$, $b$ and  $p$ is the percent of $a$ is $b$ then,

$\frac{b}{a}=\frac{p}{100}$

Step 3. Calculation.

Here, $a=75\text{ and }b=25$

Now,

$\begin{array}{l}\frac{25}{75}=\frac{p}{100}\\ \Rightarrow 75p=25\times 100\\ \Rightarrow 75p=2500\\ \Rightarrow p=\frac{2500}{75}\\ \Rightarrow p=33.33\end{array}$

Hence, $33.33\%$ of $25$ is $75$.