What is 75% of 40?

Jun 1, 2015

75% of 40 is 30

Let's start by setting up a relationship that we're solving for. If a number $x$ is 75% of another number, than their ratio would be $\frac{75}{100}$

So:
$\frac{x}{40} = \frac{75}{100}$

Now we cross multiply to get rid of the denominator:

$100 \cdot x = 75 \cdot 40$

$100 \cdot x = 300$

Divide both sides by 100:

$\frac{100 \cdot x}{100} = \frac{300}{100}$

And are left with x:

$x = 30$