John R. answered • 12/11/12

John R: Math, Science, and History Teacher

To solve a problem about percent of change, you need to divide the amount of change by the original amount. To find the amount of change, subtract the initial amount from the final amount. The formula for percent of change can be written:

Percent of Change = (Final amount - Initial amount)/Initial amount

For example, If you start with 100 and end with 120, you would write:

Percent of change = (120 - 100)/100

Percent of change = 20/100

Percent of change = .2

Since you want a percent, you need to change the decimal to a percent. To do this, move the decmial place 2 places to the right and add a percent sign.

Percent of change = 20%

**Additional Word Problem:**

This problme is not a percent change problem. It is just a percentage problem. You need to add the population of the two states together, and then divide that number by the total population of the US.

(36,000,000 + 23,000,000)/294,000,000

59,000,000/294,000,000

We can divide both the numerator and denominator by 1,000,000 to simplify the fraction:

59/294

The answer is approximately .20068027. Converted to a percentage, we have:

20.068027%

Rounded to the nearest percent, the answer is 20%.