**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.

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

**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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