# FINDING PERCENT INCREASE

## About "Finding percent increase"

Finding percent increase :

Percents can be used to describe how an amount changes. The formula given below can be used to find how an amount changes in terms of percentage.

## Finding percent increase formula

The change may be an increase or a decrease. Percent increase describes how much a quantity increases in comparison tothe original amount.

## Finding percent increase - Examples

Example 1 :

What is the percent increase from \$5 to \$8 ?

Solution :

Step 1 :

Find the amount of change.

Amount of change  =  Greater value - Lesser value

=  8 - 5

=  3

Step 2 :

Percentage change is

=  (Amount of change / Original amount) x 100 %

=  (3 / 5) x 100%

=  0.6 x 100 %

=  60 %

Hence, the percent increase from \$5 to \$8 is 60%.

Example 2 :

Amber got a raise, and her hourly wage increased from \$8 to \$9.50. What is the percent increase?

Solution :

Step 1 :

Find the amount of change.

Amount of change  =  Greater value - Lesser value

=  9.50 - 8.00

=  1.50

Step 2 :

Find the percent increase. Round to the nearest percent.

Percentage change is

=  (Amount of change / Original amount) x 100 %

=  (1.50 / 8.00) x 100%

=  0.1875 x 100 %

=  18.75 %

≃  19 %

Hence, Amber's hourly wage is increased by 19%.

Example 3 :

The price of a pair of shoes increases from \$52 to \$64. What is the percent increase to the nearest percent?

Solution :

Step 1 :

Find the amount of change.

Amount of change  =  Greater value - Lesser value

=  64 - 52

=  12

Step 2 :

Find the percent increase. Round to the nearest percent.

Percentage change is

=  (Amount of change / Original amount) x 100 %

=  (12 / 52) x 100%

=  0.2307 x 100 %

=  23.07 %

≃  23 %

Hence, the price of a pair of shoes increased by 23%.

Example 4 :

In a class, students strength has been increased from 20 to 30. What percent of strength is increased ?

Solution :

Step 1 :

Find the amount of change.

Amount of change  =  Greater value - Lesser value

=  30 - 20

=  10

Step 2 :

Find the percent increase. Round to the nearest percent.

Percentage change is

=  (Amount of change / Original amount) x 100 %

=  (10 / 20) x 100%

=  0.5 x 100 %

=  50 %

Hence, the strength is increased by 50%.

Example 5 :

Mr. David monthly salary is revised from \$2500 to \$2600. What percentage is the salary increased ?

Solution :

Step 1 :

Find the amount of change.

Amount of change  =  Greater value - Lesser value

=  2600 - 2500

=  100

Step 2 :

Find the percent increase. Round to the nearest percent.

Percentage change is

=  (Amount of change / Original amount) x 100 %

=  (100 / 2500) x 100%

=  0.04 x 100 %

=  4 %

Hence, David's monthly salary is increased by 4%.

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