Knowing how to calculate percentage increase is useful in variety of situations. For instance, you may need to calculate percentage increase of certain expenses when tracking your home budget.

Even in day to day life we need this as the changes happen so rapidly one should definitely be aware of this most important concept. When a quantity grows you definitely need to compute its Percent Increase.

## Percentage Increase Formula

When the quantity gets bigger we need to compute percentage increase and here is the formula for the same.
Percent Increase = $\frac{(New\ Amount - Original\ Amount )}{Original\ Amount} \times$ 100%

## How to Calculate Percentage Increase

Given below are the steps required in calculating percentage increase:

1. Calculate the difference between the two values which you wish to compare.
Increase = New value - Original value

2. Now you can divide the increase by the original value and multiply it by 100. This will give you percentage Increase.

3. Suppose if your answer turns to be negative then that will be called as percentage decrease.

## Finding Percentage Increase

### Solved Examples

Question 1: The market price of a share increased from 13 to 17. Calculate the percentage increase of the share?
Solution:

The difference between the original price of a share and the new price of a share is : (17 - 13) =  4

Now the percentage increase is given as

Percent Increase = $\frac{(New Amount - Original Amount )}{Original Amount} \times$ 100%

= $\frac{4}{13}\times$100%

= 30.76%
Therefore, the percentage increase in share value is 30.76%.

Question 2: An antique lamp is now worth 25% more than it was bought. The original price of the antique lamp was € 60. How much is it worth now ?
Solution:

Here we have in terms of percentage so first we find the increase then add it to the original amount.

25% of original price = $\frac{25}{100}$ $\times$ 60 = $\frac{60}{4}$ = € 15

Now Adding this to the original amount gives : € 60 +  € 15 =  € 75

Therefore the antique lamp is now worth € 75.

Question 3: In the month of January smith worked for 65 hours and in February he works for 75.5 hours. By What percentage did smith's working hours increase in February?
Solution:

Subtract the total working hours of February and January which will give us the increase.

(75.5 - 65) = 10.5 hours

To work out the percentage increase divide the difference in increase by the original number.

$\frac{10.5}{65}$ $\times$ 100%

=16.15%

Smith therefore worked 16.15% more hours in February than he did in January.