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What is a Percentage Calculator?

In maths, a percentage is a ratio or number representing a fraction of 100. It is typically expressed with the symbol "%" or simply as "percent" or "pct." For example, 10% is equivalent to the decimal 0.10, or the fraction 10/100.

A percentage calculator is a tool that helps you quickly calculate percentages with a guarantee of accurate results. To compute a percentage change, a percentage value, or a percent difference, you will need to fill in two fields with two values. The third one will be calculated for you automatically via a special percentage formula. This free online tool allows you to answer the question of how to find a percentage of two numbers.

Why do you need a percentage calculator?

Percentage calculators are indispensable if you want to determine the percentage difference between two values or to compute the percentage of a number. The basic equations resolved with the help of percentage calculators are the following:

  1. Find P percent of A

  2. Find what percent of A is B

  3. Find A if P percent of it is B

You can use it for calculations in physics, chemistry, sales, tax and inflation rates, finance, cryptocurrency, and many different fields. Any number can be determined as a percentage of the other when using this tool.

In everyday life, promotions, sales, commissions, and various discounts are often expressed as percentages from a previous price of a product or service. And can be easily calculated using percentage calculators.

In the financial industry, percentages are widely used to denote interest rates, annual percentage rates, interest rate differentials, etc.

How does a Percentage Calculator Work?

To determine the percentage value of a number, find the % key on any calculator. Then, enter your initial value and press the % button, and the calculator will show its decimal equivalent.

To compute the percentage difference between two numbers, enter two values in a special percentage calculator and click the "calculate" button to get the third value.

How to Calculate a Percentage 

The percentage formula can be expressed in different forms, but it is normally an algebraic equation that has 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 operation on V1.

The calculator automatically converts the input percentage into a decimal to compute the solution. However, solving the modified equation to obtain a percentage, the value returned will be the actual percentage, not its decimal representation.

P = V2/V1

For example, what percent of 150 is 60? Do the math:

P = 60/150 = 0,4

Multiplying the answer by 100 will answer percent.

0,4× 100 = 40%

If done manually, the formula assumes the percentage in decimal form, so the solution needs to be multiplied by 100 to convert it to a percentage. The calculator does it and accepts inputs in percent and decimal form.

Percentage change calculator

If you need to compute the decline or growth of a variable, use the percentage change calculator to determine the percentage increase or decrease between the values.

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.

Percentage increases or decreases are used to describe the relative growth or decline of something, for example, a population, capital, personal wealth, etc. Differences between any two objects can be expressed as ratios or as percentage differences.

Percentage difference calculator

To calculate the percentage difference between two values, divide the absolute value of the difference between two numbers by the average of those two numbers. Using the calculator, just fill in two values you need to compare. Then, multiply it by 100, and get a solution in the percentage of increase.

What is a percentage?

A percentage is one of many ways the ratio, number, or fraction may be expressed. In mathematics, a percentage is a number or ratio that represents a fraction of 100. It is usually indicated by the percent sign «%» or simply as "percent" or "pct." For example, 75% is equivalent to the decimal 0.75, or the fraction 75/100.

How do I calculate a percentage?

Provide two values each in the indicated fields of any free online calculator, and click the "Calculate" button to get the third value. The percentage formula is:

P × V1 = V2

  • P — the percentage.

  • V1 — the first value that the percentage will modify.

  • V2 — the result of the percentage operation on V1.

The percentage calculator automatically converts the input percentage into a decimal to compute the solution.

How do I calculate the percentage difference between two numbers?

You can use percentages to compare two different items that are related to each other.

The percentage difference could be calculated using the following percentage formula:

|V1 - V2|/ [(V1 + V2)/2] × 100

V1 — the first value,

V2 — the second value you need to compare.

The online percentage calculator automatically computes and converts the solution into a percentage.

How do I compute percentages without a calculator?

  1. Select the values to compare — V1 and V2.

  2. Divide the number to figure out the percentage — P. Use the percentage formula:

    P% = V1/V2

  3. The result is in decimal form. To get the percentage, multiply the value by 100.