# 25% of what number is 10?

Jul 4, 2018

$40$

#### Explanation:

We don't know the number yet, so we can model it with the variable $x$. The question now turns into:

25% of $x$ is $10$. What is $x$?

The key realization is that 25% is the same as $\frac{1}{4}$, so we can now construct an equation:

$\frac{1}{4} x = 10$

This is saying one-fourth, or 25%, of a number $x$, is equal to $10$.

Let's multiply both sides by $4$ to get

$x = 40$

Therefore, 25% of $40$ is $10$.

Hope this helps!