# What is 5% of 10%?

Mar 22, 2017

See the entire solution process below:

#### Explanation:

First, we can answer what is 5% of just 10.

"Percent" or "%" means "out of 100" or "per 100", Therefore 5% can be written as $\frac{5}{100}$.

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

Finally, lets call the number we are looking for "n".

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

$n = \frac{5}{100} \times 10$

$n = \frac{50}{100}$

$n = 0.5$

Now, we can bring the % we dropped off back into the problem.

5% " of " 10% is therefore 0.5% or $\frac{1}{2}$ of 1%