# If 756 increases by 100%, what would the number be?

Jun 4, 2017

See a solution process below:

#### Explanation:

To increase 756 by 100% we can write (where $r$ is the result):

r = 756 + 100% of $756$

"Percent" or "%" means "out of 100" or "per 100", Therefore 100% can be written as $\frac{100}{100} = 1$.

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

We can rewrite this problem as:

$r = 756 + \left(1 \times 756\right)$

$r = 756 + 756$

$r = 1512$

Increasing 756 by 100% therefore is the same as doubling 756 or 1,512