Percentage Calculator
A versatile tool for all your percentage calculation needs.
General Calculator
Enter any two values to find the third. Leave the field you want to calculate blank.
Percentage Change
Calculate the result after an increase or decrease.
Percentage Difference
Calculate the percentage difference between two numbers.
Understanding Percentages
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 often denoted by the symbol "%" written after the number. 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. Here, P is the percentage in decimal form, V1 is the base value, and V2 is the result.
Percentage Difference Formula
The percentage difference between two values is calculated by dividing the absolute value of the difference between them by their average, then multiplying by 100. Formula: |V1 - V2| / ((V1 + V2)/2) × 100.
Percentage Change Formula
Percentage change is calculated by dividing the difference between the new and old values by the old value. For an increase from 500 by 10%, the calculation is 500 × (1 + 0.10) = 550. For a decrease, it's 500 × (1 - 0.10) = 450.