# How do you calculate the percent change of 42 to 168?

Feb 9, 2017

See the entire solution process below:

#### Explanation:

The formula for calculate the percentage change in a value is:

$p = \frac{N - O}{O} \cdot 100$

Where:
$p$ is the percentage change - what we are solving for
$N$ is the New Value - $168$ for this problem
$O$ is the Old Value - $42$ for this problem

Substituting and calculating gives:

$p = \frac{168 - 42}{42} \cdot 100$

$p = \frac{126}{42} \cdot 100$

$p = 3 \cdot 100$

$p = 300$

There was a 300% change.