# 25% of what number is 4?

Oct 26, 2016

25% of 16 is 4. See Explanation.

#### Explanation:

So, first of all, you are given that 25% of a certain number is 4. The best way to solve this problem is to create a ratio:

$\frac{25}{100}$ =4/?

So now you can see that as much as 25 is correlating to 4, x, or the number you are solving for, corresponds to 100.
So what is the difference between 25 and 100? Well, in order to get 100, you need to multiply 25 by 4.

So then since 25 corresponds to 100 by multiplying by 4, then 4 correlates to x by multiplying by 4.

4x4=16

the final ratio would be
$\frac{25}{100}$ =$\frac{4}{16}$

And this ratio makes perfect sense since if you divide both 100 and 16 by 4, you will get 25 and 4.

Hope this helps!