55% of what number is 33?

Jan 7, 2017

55% of 60 is 33

Explanation:

First, let's call the number we are looking for $n$.

"Percent" or "%" means "out of 100" or "per 100", Therefore 55% can be written as $\frac{55}{100}$.

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:

$\frac{55}{100} \times n = 33$

$\frac{\textcolor{red}{100}}{\textcolor{b l u e}{55}} \times \frac{55}{100} \times n = \frac{\textcolor{red}{100}}{\textcolor{b l u e}{55}} \times 33$

$\frac{\cancel{\textcolor{red}{100}}}{\cancel{\textcolor{b l u e}{55}}} \times \frac{\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{55}}}}{\textcolor{red}{\cancel{\textcolor{b l a c k}{100}}}} \times n = \frac{3300}{\textcolor{b l u e}{55}}$

$n = 60$