# How do you find the percent change given the original number is 90 and new number is 95?

Mar 21, 2017

5.56% increase

#### Explanation:

"Change" means "difference" in something. Difference in math is found by subtracting.
$95 - 90 = 5$ increase

"Per cent" means "out of 100" (cent as in a century has 100 years)
Set up the problem with (part)/(whole)=(part)/(whole). 90 was the original whole.

$\frac{x}{100} = \frac{5}{90}$

$x = 5 \cdot \frac{100}{90} = 5.5555$ increase