# 8 is what percent of 40?

Feb 1, 2017

$8$ is 20% of $40$.

#### Explanation:

When we say that something is $x$ percent of $y$, we mean that it is $y \times \frac{x}{100}$. So, if we say that $8$ is $x$ percent of $40$, that means that $8 = 40 \times \frac{x}{100}$. Solving for $x$, we get

$8 = 40 \times \frac{x}{100}$

$\implies 8 = \frac{40 x}{100}$

$\implies 8 \times \frac{100}{40} = \frac{40 x}{100} \times \frac{100}{40}$

$\implies 8 \times \frac{5}{2} = x$

$\therefore x = 20$

Thus $8$ is $20$ percent of $40$.