Percent to Decimal Converter

Convert any finite percentage to its decimal value and a simplified fraction. Decimal percentages such as 12.5% are handled exactly when the fraction is reduced.

Dividing a percentage by 100 gives its decimal form. For the fraction, the entered digits are treated as an exact base-10 value before the numerator and denominator are reduced by their greatest common divisor.

Five percentage calculations

• Percent of calculates a percentage of a given number.
• What percent finds what percentage one value represents of another.
• Reverse percent finds the whole when a value and its percentage are known.
• Percent change compares a new value with its original value.
• Convert percent returns the equivalent decimal and simplified fraction.

Percentage change uses the absolute original value as the denominator, so direction remains meaningful when values are negative. A positive result is an increase and a negative result is a decrease. Change from an original value of zero is undefined because division by zero has no finite percentage result.

Related percentage calculations: Percentage Calculator · Percentage Change · Reverse Percentage · Percent to Decimal