The population of the United States grew from 76 million in 1900 to 300 million in 2006, what is the percent change?

Apr 23, 2017

See the entire solution process below:

Explanation:

The formula for calculating the percent change in a value between two points in time is:

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

Where:

$p$ is the percent change - what we are solving for in this problem.

$N$ is the New Value - 300 million in this problem.

$O$ is the Old Value - 76 million in this problem.

Substituting and solving for $p$ gives:

$p = \frac{300 - 76}{76} \cdot 100$

$p = \frac{224}{76} \cdot 100$

$p = \frac{22400}{76}$

$p = 294.7$ rounded to the nearest tenth.

Between 1900 and 2006 there was a 294.7% increase in the population of the United States.