# Percentage Calculator

### Percentage of Marks = (Total Scored Marks ⁄ Total Marks) × 100

This free percentage calculator computes a number of values involving percentages, including the percentage difference between two given values.

## What is Percentage?

Percentage is number of ratio that define fraction out of 100. Percentage symbol is % or pct or percent. like 35% equal to 0.35.

## Percentage Calculator Formula

To calculate percentage there is many formula but most common and useable formula is P × V1 = V2. In this formula following value included.

P × V1 = V2

P is called the percentage
V1 is the first value
V2 is the result of % perform on V1

Our calculator provides direct result of the input value into a percentage

### Percentage Example

EX: P × 30 = 1.5

P =
1.5
30
= 0.05 × 100 = 5%

Here is some main percentage problems. X and Y are numbers and P is the percentage:

1. Find P percent of X
2. Find what percent of X is Y
3. Find X if P percent of it is Y

## Percentage Difference Formula

The percentage Difference Calculator will calculate the difference between numbers greater than zero. It is useful when the user wants to check the difference percentage between two numbers. The order of numbers, not matters.

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 deliver the solution in %, rather than decimal form.

## Percentage Change Formula

Work out the difference between the two numbers you are comparing. Then: divide the increase by the original number and multiply the answer by 100. % increase = Increase ÷ Original Number × 100. If your answer is a negative number, then this is a percentage decrease.

EX: 500 increased by 10% (0.1)
500 × (1 + 0.1) = 550

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

## Percentage Increase Calculator

A percentage increase calculator is a good tool if you need to calculate the increase from one value to another in terms of a percentage of the original amount

C = relative change
x_1 = initial value
x_2 = final value

## Percentage Decrease Calculator

The percentage decrease formula can be acquired by simply dividing the decreased value by the actual value and multiplying that by 100.

Percent Decrease = (Decreased Value / Original Value) × 100

Decreased Value = Original Value – New Value

## How to Percentage Calculator

There are many formulas for percentage problems. You can think of the most basic as X/Y = P x 100. The formulas below are all mathematical variations of this formula.

Let’s explore the three basic percentage problems. X and Y are numbers and P is the percentage:

1. Find P percent of X
2. Find what percent of X is Y
3. Find X if P percent of it is Y
1. 20/100 x 100 = called as 20 percent = 20%
2. 50/100 x 100 = called as 50 percent = 50%
3. 80/100 x 100 = called as 80 percent = 80%
4. 90/100 x 100 = called as 90 percent = 90%
5. 91/100 x 100 = called as 91 percent = 91%
6. 100/100 x 100 = called as 100 percent = 100%

## How to calculate percentage of a number. Use the percentage formula: P% * X = Y

Example: What is 10% of 150?

• Convert the problem to an equation using the percentage formula: P% * X = Y
• P is 10%, X is 150, so the equation is 10% * 150 = Y
• Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10
• Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y
• Do the math: 0.10 * 150 = 15
• Y = 15
• So 10% of 150 is 15
• Double check your answer with the original question: What is 10% of 150? Multiply 0.10 * 150 = 15

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