Percentage Calculator

Calculate percentages, percentage changes, and discounts instantly. The most accurate tool for everyday math.

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How to Calculate Percentage

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%". 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 above automatically converts the input percentage into a decimal to compute the solution.

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.

|V1 - V2| / [(V1 + V2) / 2] × 100

Frequently Asked Questions

To calculate 20% off a price, convert 20% to a decimal (0.20) and multiply it by the original price. Subtract that number from the original price to get the discounted price.

The formula is: ((New Value - Old Value) / Old Value) × 100. This will give you the percentage increase (or decrease if the result is negative).

To calculate GPA from percentage, divide your percentage by 100 and multiply by 4.0 for a standard 4.0 scale. Note: Some institutions use different scales.