Math - Percentage

Percentage is a number expressed as a fraction of 100.

Percentage as Decimal or Fraction

Percentage is nothing but a way to express a value as a fraction of 100, so you can also represent it as a decimal or a fraction.

88% (percentage)
0.88 (decimal)
22/25 (fraction)

Percentage Formulas

• Percentage of a value:
  $\frac{\text{value}}{\text{total}} * 100$
• Value of a percentage:
  $\frac{\text{percentage}}{100} * \text{value}$
• Percentage increase/decrease:
  $\frac{new - old}{old} \times 100$
• Original value:
  $\frac{\text{value}}{\frac{\text{percentage}}{100}}$