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Percentage Calculator

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

Result: 💾 save
Steps:
% of =

Percentage Calculator in Common Phrases

what is % of
is what % of
is % of what

Percentage Difference Calculator

Result: %
Value 1
Value 2

Percentage Change Calculator

Calculate the final value after applying a percentage increase or decrease.

Result: 💾 save
Steps:
by % =

What is a Percentage?

In mathematics, a percentage is a number or ratio that represents a fraction of 100. It is one of the ways to represent a dimensionless relationship between two numbers; other methods include ratios, fractions, and decimals.

Percentages are typically denoted by the symbol "%" written after the number. They can also be denoted by writing "percent" or "pct". For example, 35% is equivalent to the decimal 0.35, or the fraction 35/100.

How to Compute a Percentage

Percentages are computed by multiplying the value of a ratio by 100. For example, if 25 out of 50 students in a classroom are male, the ratio is 25/50. The value of the ratio is therefore 0.5, and multiplying this by 100 yields:

0.5 × 100 = 50%

In other words, the ratio of 25 males to 50 total students is equivalent to 50% of the students in the classroom being male.

The Percentage Formula

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

P × V1 = V2

Where:
P is the percentage (in decimal form).
V1 is the first value (the base).
V2 is the result of the percentage operating on V1.

The calculators provided above automatically convert the input percentage into a decimal to compute the solution. If you are solving manually, remember that the formula requires the percentage in decimal form, so the solution for P needs to be multiplied by 100 in order to convert it back to a percent.

Percentage Difference Formula

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

Percentage Difference =
|V1 - V2|(V1 + V2) / 2
× 100

Example: What is the percentage difference between 10 and 6?

|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 taking the absolute value of the difference between two values, then dividing the result by the initial value—essentially calculating how much the initial value has changed relative to itself.

The Percentage Change 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.

Examples:

500 increased by 10% (0.10)
500 × (1 + 0.10) = 500 × 1.10 = 550

500 decreased by 10% (0.10)
500 × (1 - 0.10) = 500 × 0.90 = 450