## Percentage (%)

Percentage is per-cent which means parts per hundred.

One percent is equal to 1/100 fraction:

1% = 1/100 = 0.01

Ten percent is equal to 10/100 fraction:

10% = 10/100 = 0.1

Fifty percent is equal to 50/100 fraction:

50% = 50/100 = 0.5

One hundred percent is equal to 100/100 fraction:

100% = 100/100 = 1

One hundred and ten percent is equal to 110/100 fraction:

110% = 110/100 = 1.1

## Percent sign

The percent sign is the symbol: %

It is written to the right side of the number: 50%

## Percentage Definition

Percentage is a value that represents the proportion of one number to another number.

1 percent represents 1/100 fraction.

100 percent (100%) of a number is the same number:

100% × 80 = 100/100×80 = 80

50 percent (50%) of a number is half of the number:

50% × 80 = 50/100×80 = 40

So 40 is 50% of 80.

## Percentage of a Value Calculation

x% of y is calculated by the formula:

percentage value =

x% ×y= (x/100) ×y## Example:

Find 40% of 200.

40% × 200 = (40 / 100) × 200 = 80

## Percentage Calculation

The percentage of x from y, is calculated by the formula:

percentage = (

x/y) × 100%## Example:

The percentage of 30 out of 60.

(30 / 60) × 100% = 50%

## Percentage Change (increase/decrease)

Percentage change from

x1 tox2 is calculated by the formula:percentage change = 100% × (

x2 -x1) /x1When the result is positive, we have percentage growth or increase.

## Example:

Percentage change from 60 to 80.

100% × (80 - 60) / 60 = 33.33% increase

When the result is negative, we have percentage decrease.

## Example:

Percentage change from 80 to 60.

100% × (60 - 80) / 80 = -25% decrease

## See also