# 18.09 is 26.8% of what number?

Dec 5, 2016

18.09 is 26.8% of 67.5

#### Explanation:

Let's call the number we are looking for $n$. We can then write this problem as;

18.09 is 26.8% of $n$

"Percent" or "%" means "out of 100" or "per 100", Therefore 26.8% can be written as $\frac{26.8}{100}$.

When dealing with percents the word "of" means "times" or "to multiply".

Putting this altogether we can write this equation and solve for $n$ while keeping the equation balanced:

$18.09 = \frac{26.8}{100} \times n$

$18.09 \cdot \frac{100}{26.8} = \frac{100}{26.8} \frac{26.8}{100} \times n$

$\frac{1809}{26.8} = \frac{\cancel{100}}{\cancel{26.8}} \frac{\cancel{26.8}}{\cancel{100}} \times n$

$67.5 = n$