Percentage calculator is a free online tool to calculate percentages, to find percentage of a number, calculate x as a percent of y, find a number given percent. How to work out percentage formulas. Percentage calculator that uses the percentage formula to solve for a desired value in that formula. The percentage formula contains three variables. If any two of the variables are known, the third variable can be calculated.
In mathematics, a percentage is a number or ratio that represents a fraction of 100. It is often denoted by the symbol "%" or simply as "percent" or "pct." For example, 25% is equivalent to the decimal 0.25, or the fraction.
| 25 |
| 100 |
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 automatically converts the input percentage into a decimal to compute the solution. However, if solving for the percentage, the value returned will be the actual percentage, not its decimal representation.
EX: P × 60 = 9
| P = |
|
= 0.15 × 100 = 15% |
If solving manually, the formula requires the percentage in decimal form, so the solution for P needs to be multiplied by 100 in order to convert it to a percent. This is essentially what the calculator above does, except that it accepts inputs in percent rather than decimal form.
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. Refer to the equation below for clarification.