# Percentage Calculator

Percentage Calculator is a simple online tool that computes percentages very fast. This calculator makes it an easy task for you to get either a percentage of a number or what is the percentage of one number in relation to another.

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## What is a percentage?

A percentage in mathematics is a number or ratio representing an amount equal to one-hundredth part. This is one form in which the non-dimensional equation can be presented – others being ratios, fractions, or percentages. The symbol % is written after the number to denote percentages. The percent symbol “%” which is often abbreviated as pct can also be added at the end of the number. For instance, thirty five percent translates numerically as zero point three-five, or half and remainder one fifth, respectively.

Percentages are calculated as the product of a ratio and 100. For instance, for example if 25 boys were found out of 50 in a given class. The value of the ratio is therefore 0.5, and multiplying this by 100 yields:

**0. 5 × 100 = 50**

This means that out of twenty-five boys in a class, half of them are students.

## Percentage formula

The percent formula can be expressed in many ways, but it is a simple algebraic equation comprising of three variable units.

**P × V1 = V2**

% is the percentage; V1 is the first value to be modified by the percentage, whereas V2, obtained by applying the percentage upon V1. An automated calculator works by directly transforming the input percentage to a decimal for solution computation. On the other hand, finding the percentage implies giving directly the value in percentage and not its decimal representation.

**EX: P × 30 = 1.5**

P = |
| = 0.05 × 100 = 5% | |||
---|---|---|---|---|---|

For manual solving, this formula uses a percentage expressed in decimal terms. Hence, P should be converted into a percent by multiplying them with 100. Essentially, this is what the above calculator accomplishes, but uses percentage rather than the decimal format of input.

## Percentage difference formula

Percentage difference between two values is calculated as the ratio of absolute value of difference between two numbers and an average of those two numbers. One can get the solution expressed as a percentage by multiplying the result by 100. See the equation provided for explanation.

Percentage Difference = |
| × 100 |
---|

EX: |
| = |
| = 0.5 = 50% | ||||||
---|---|---|---|---|---|---|---|---|---|---|

## Percentage change formula

An increase percentage and a decrease percentage are obtained through subtraction of the initial value from its own corresponding subsequent value. This means mathematically taking the absolute value of the difference between two values and dividing that by the initial value; which is a way of saying how much that initial value has changed.

This percent difference calculator determines the exact proportionate increase or decrease of a figure by a particular percentage unit that comprises the input number In simple terms it involves transforming a percentage in its equivalent decimal form, minus or plus one depending on whether we are talking about decrease or increase. This figure is multiplied by the original number resulting into either increase or decrease of the original number by the specified percentage. See an instance below.

**EX: 500 increased by 10% (0.1)**

**500(1+0.1)=550**

**500 decreased by 10%**

**500 * (1-0.1) = 450**