Percentage Calculator

How do you define a percentage?

In mathematics, a percentage is a number or ratio that represents a fraction of 100. In addition to ratios, fractions, and decimals, percentages are also used to represent dimensionless relationships between two numbers. The symbol "%" is commonly used to denote percentages, but you can also use "percent" or "pct" after a number. For example, 35% is equivalent to 0.35 decimals or fractions.

For example, if 50 out of 100 students in a classroom are male, then the ratio is 0.5, and multiplying this by 100 gives:

The product of 0.5 and 100 is 50

As a result, 50 males in the classroom are equivalent to 50% of the students in the classroom being male.

Formula For Percentages

In spite of the fact that the percentage formula can be written in a number of different ways, it is essentially a three-valued algebraic equation.

P x B1 = B2

In the calculator, P represents the percentage, B1 represents the first value that the percentage will change, and B2 represents the result of the percentage operating on B1. Input percentages are automatically converted into decimal values in order to compute the solution. However, if you solve for the percentage, the result is the actual percentage, not the decimal representation.

As an example, P × 60 = 1.5

If solving manually, the formula requires the percentage in decimal form, so you need to multiply the solution for P by 100 in order to convert it to a percent. As with the calculator above, it accepts inputs in percent rather than decimal.

Formula For Calculating Percentage Differences

By dividing the absolute value of the difference between two numbers by their average, you can calculate the percentage difference between two values. In order to obtain the solution in percent rather than decimal form, multiply the result by 100. For clarification, see the equation below.