# How do you find the percent change given before:260 and after:160?

Dec 4, 2016

There was a -38.5% change rounded to the nearest tenth.

#### Explanation:

The formula for percent change over time is:

$p = \frac{N - O}{O} \cdot 100$ where $p$ is the percent change, $N$ is the New Value and $O$ is the Old Value.

In this problem we are given the Old Value (or before) as 260 and the New Value (or after) as 160. We can substitute these into the formula and calculate the percent change:

$p = \frac{160 - 260}{260} \cdot 100$

$p = - \frac{100}{260} \cdot 100$

$p = - \frac{10000}{260}$

$p = - 38.5$ rounded to the nearest tenth