# A towns population went from 25,800 to 42,600 in 15 years. What was the percent of the change?

Dec 5, 2016

The percent change was 65.1% rounded to the nearest tenth.

#### Explanation:

The formula for percent change over a time period 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 case we are given the Old Value (25,800) and the New Value (42,600) so we can substitute these into the formula to calculate $p$, the percent change:

$p = \frac{42600 - 25800}{25800} \cdot 100$

$p = \frac{16800}{25800} \cdot 100$

$p = \frac{1680000}{25800}$

$p = 65.1$ rounded to the nearest tenth.