Math
How to add a percentage to a number
Increase a number by a percentage using a direct formula for prices, markups, fees and growth.
Formula
To increase a value by p percent:
new value = original value x (1 + p / 100)
Adding 18% to 500 gives:
500 x 1.18 = 590
The increase is 90 and the new value is 590. The multiplier shortcut prevents an extra subtraction or addition step: add 12% by multiplying by 1.12, 25% by 1.25, and 100% by 2.
Avoid these mistakes
- Adding the number
18when the instruction means 18% of the original value. - Using the final value as the percentage base.
- Applying several increases by simply adding their percentages. Successive changes use successive multipliers.
- Assuming that equal increases and decreases cancel each other.
For the change between an old and new value, use percentage increase. To calculate an amount directly, use the percentage calculator.