# 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 *V*initial to *V*final is calculated by the formula:

percentage change = 100% ×

*V*_{final} - *V*_{initial}/*x*_{initial}

When the result is positive, we have percentage growth or increase.

##### Example:

Percentage change from 60 to 80 (increase).

100% ×

80 - 60/60

= 33.33%

When the result is negative, we have percentage decrease.

##### Example:

Percentage change from 80 to 60 (decrease).

## See also