## Percentage Increase Formula

In mathematics, there are numerous branches with their own methods of calculation and logarithmic methods and these all branches give out certain values or figures as answers to the problems.

There are a bunch of branches of mathematics where the percentage is the one which can be understood as the ratio or a number and is expressed as a fraction of 100. The Latin word per centum means “one hundred” gave rise to the percentage word.

Per- out of, cent- hundred. Therefore, per cent means out of every hundred. The percentage is a fraction with a denominator given by 100. The symbol that represents the percentage is %.

The ratio of value increased to the original value and multiplied by 100 is the formula for percentage increase. It is represented by percentages.

If there is an increase in percentage, then there is an increase in the value of anything.

The Percentage Increase Formula is represented as,**Percentage Increase = (Increased value/Original value) × 100**

## Examples of the Percentage Increase Formula

**1. What is the percentage change in the rent of the house if, in the month of January, it was Rs.10,000 and in the month of March, it is Rs.15,000?**

**Solution:**

From the given question we can understand that there is an increase in the amount of rent.

Therefore,

Increased value = 15000 – 10000 = 5000

Original Value = 10000

Percentage Increase is given by

(Increased Value ⁄ Original Value) × 100

= (5000 ⁄ 10000) × 100

= 50%

Hence, the increase in the amount of rent is a 50%.

**2. Calculate the percentage increase from 120 to 200?**

**Solution:**

As per the given conditions

The initial value is 120

The final value is 200

Percentage Increase is given by

(Increased Value ⁄ Original Value) × 100

= (200 – 120/120) × 100

= 66.67%