# How do you calculate the percent change of 14.1 and 15.8 ?

May 27, 2017

See a solution process below:

#### Explanation:

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

p = (N - O)/O *100%

Where:

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

$N$ is the New Value - 15.8 in this problem.

$O$ is the Old Value - 14.1 in this problem.

Substituting and solving for $p$ gives:

p = (15.8 - 14.1)/14.1 *100%

p = 1.7/14.1 *100%

p = (170/14.1)%

p = 12.1% rounded to the nearest tenth.

The percent change is: color(red)(12.1%) rounded to the nearest tenth.

May 27, 2017

10.8%

#### Explanation:

To calculate percent change, use the formula

("new number"-"old number")/("old number")xx100%

If the top is negative, then you have a percent decrease. If the top is positive, then you have a percent increase.

Assuming 14.1 is the old number and 15.8 is the new number, we can calculate

$\frac{15.8 - 14.1}{15.8} = \frac{1.7}{15.8} = 0.108$

0.108xx100%=10.8%