# Percentage Calculator

The Percentage Calculator is a tool that simplifies the calculation of percentages. It allows users to determine values such as percentage increase or decrease, percentage of a certain number, and percentage change between two values. This calculator is commonly used for financial calculations, analyzing data, and solving various percentage-related problems quickly and accurately.

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## Percentage Calculator in Common Phrases

 what is of
 is what % of
 is of what

## Percentage Difference Calculator

 Value 1 Value 2

## Percentage Change Calculator

Please provide any two values below and click the "Calculate" button to get the third value.

 Increase Decrease =

Related

## what is Percentage Calculator

A Percentage Calculator is a specialized tool that simplifies the calculation of percentages. It allows users to perform various calculations related to percentages, such as finding the percentage of a number, determining percentage increase or decrease between two values, and calculating the final value after applying a percentage change. This calculator eliminates the need for manual calculations, making it convenient and efficient for tasks involving percentages in various fields, including finance, mathematics, statistics, and data analysis.

In mathematics, a percentage is a number or ratio that represents a fraction of 100. It is often denoted by the symbol "%" or simply as "percent" or "pct." For example, 35% is equivalent to the decimal 0.35, or the fraction

 35 100
.

### Percentage Formula

Although the percentage formula can be written in different forms, it is essentially an algebraic equation involving three values.

P × V1 = V2

P is the percentage, V1 is the first value that the percentage will modify, and V2 is the result of the percentage operating on V1. The calculator provided automatically converts the input percentage into a decimal to compute the solution. However, if solving for the percentage, the value returned will be the actual percentage, not its decimal representation.

EX: P × 30 = 1.5

P =
 1.5 30
= 0.05 × 100 = 5%

If solving manually, the formula requires the percentage in decimal form, so the solution for P needs to be multiplied by 100 in order to convert it to a percent. This is essentially what the calculator above does, except that it accepts inputs in percent rather than decimal form.

### 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 =
 |V1 - V2| (V1 + V2)/2
× 100
EX:
 |10 - 6| (10 + 6)/2
=
 4 8
= 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.

The 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)
500 × (1 + 0.1) = 550

500 decreased by 10%
500 × (1 – 0.1) = 450

### Percentage Calculator Example

Data Input Description Example
Original Value The initial value before any percentage change \$100
Percentage The percentage to be applied to the original value 10%
New Value The calculated value after applying the percentage change \$110
Data Output Description Example
Percentage Increase/Decrease The calculated percentage increase or decrease between two values 10%
Percentage of a Number The calculated percentage of a given number 20% of 200 = 40
Final Value after Percentage Change The calculated final value after applying a percentage increase or decrease 10% increase from \$100 = \$110

In this example, the user would input the original value and the percentage to be applied. The Percentage Calculator would calculate the new value after applying the percentage change. Additionally, the calculator can determine the percentage increase or decrease between two values, find the percentage of a given number, and calculate the final value after applying a percentage change.

Please note that this is just an example table, and the specific calculations may vary depending on the implementation of the Percentage Calculator and the desired functionalities.