# How do you identify the percent of change as an increase or a decrease 75 people to 25 people?

Mar 27, 2017

See the entire solution process below:

#### Explanation:

The formula for calculating the percent of change between two values is:

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

Where:

$p$ is the percent of change/

$N$ is the New Value, $25$ people for this problem

$O$ is the Old Value, $75$ people for this problem

Substituting a calculating $p$ gives:

$p = \frac{25 - 75}{75} \cdot 100$

$p = \frac{- 50}{75} \cdot 100$

$p = \frac{- 5000}{75}$

$p = - 66.7$ rounded to the nearest tenth.

There was a 66.7% $\textcolor{red}{\mathrm{de} c r e a s e}$ in the number of people.
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