# What is the percent change for 50,000 to 40,000?

Jan 26, 2017

There was a -20% change

#### Explanation:

The formula for percentage or rate change is:

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

Where:
$p$is the percentage change
$N$ is the New Value (40,000 for this problem)
$O$ is the Old Value (50,000 for this problem)

Substituting and calculating $p$ gives:

$p = \frac{40000 - 50000}{50000} \cdot 100$

$p = \frac{- 10000}{50000} \cdot 100$

$p = \frac{- 1000000}{50000}$

$p = - 20$