## What is Percentage?

A **percentage** is a portion of a whole expressed as a number between 0 and 100. It is often denoted using the percent sign, “%”, “Percent” comes from the latin *Per Centum*. The latin word *Centum* means 100, for example a Century is 100 years.

#### Percentage By Decimal

The numbers that you will be converting into percentages can be given to you in 2 different formats, decimal and fraction. Decimal format is easier to calculate into a percentage. Converting a decimal to a percentage is as simple as multiplying it by 100. To convert .27 to a percent, simply multiple .27 by 100.

.27 × 100=27

#### Percentage by fraction

If you are given a fraction, convert it to a percentage by dividing the top number by the bottom number. If you are given 10/100, you would divide 13 by 100.

10 ÷ 100 = .10

Then, follow the steps above for converting a decimal to a percent.

.10 × 100 = 10

Thus getting 10%.

### Simple Examples to Calculate

### 1. Example: Calculate 25% of 150

25% = *25***/100**

And *25***/100** × 150 = 37.5%

So 25% of 150 is 37.5%

### 2. Example: 15% of 200 Oranges are bad. How many Oranges are bad?

15% = *15***/100**

15/100 × 200 | = 15 × 200100 |

= 15 × 2 | |

= 30 apples |

**30 apples are Oranges**

## Calculation Trick

This little rule can make some calculations easier:

x% of y = y% of x

### Example: 2% of 80

**2% of 80** is the same as **80% of 2**

And 80% of 2 is **1.6%**

So 2% of 80 is also **1.6%**

### Percentage Difference Formula

The percentage difference between two values is calculated by dividing the absolute value of the difference between two numbers by the average of those two numbers. Multiplying the result by 100 will yield the solution in percent, rather than decimal form. Refer to the equation below for clarification.

Percentage Difference = | |V_{1} – V_{2}|(V _{1} + V_{2})/2 | × 100 |

EX: | |10 – 6| (10 + 6)/2 | = | 48 | = 0.5 = 50% |

### Percentage Change Formula

Percentage increase and decrease are calculated by computing the difference between two values and comparing that difference to the initial value. Mathematically, this involves using the absolute value of the difference between two values, and dividing the result by the initial value, essentially calculating how much the initial value has changed.

A percentage increase calculator above computes an increase or decrease of a specific percentage of the input number. It basically involves converting a percent into its decimal equivalent, and either subtracting (decrease) or adding (increase) the decimal equivalent from and to 1, respectively. Multiplying the original number by this value will result in either an increase or decrease of the number by the given percent. Refer to the example below for clarification.

EX: 500 increased by 10% (0.1)

i.e 500 × (1 + 0.1) = 550

500 decreased by 10%

500 × (1 – 0.1) = 450

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