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15%
46,000 is a 15% increase from 40,000
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The percentage increase formula
Percentage increase = (new value − original value) ÷ original value × 100
How to calculate percentage increase
- 1.Subtract the original value from the new value. That gives you the size of the rise.
- 2.Divide that rise by the original value, not by the new one. This is the step people get wrong.
- 3.Multiply by 100 to turn it into a percentage.
Worked example
Your pay went from $40,000 to $46,000. What is the percentage increase?
- The rise is 46,000 − 40,000 = 6,000
- 6,000 ÷ 40,000 = 0.15
- 0.15 × 100 = 15%
That is a 15% increase.
Percentage growth, rise, and improvement are the same sum
Growth rate, percentage rise, and improvement percentage all describe this calculation. The wording changes with the subject, and the arithmetic does not. Always divide by the value you started from.
Common questions
How do you calculate a percent increase?
Subtract the old value from the new one, divide the result by the old value, then multiply by 100. Going from 40 to 50 is (50 − 40) ÷ 40 × 100, which is a 25% increase.
What is the formula for percent increase?
(new − original) ÷ original × 100. The original value is always the one you divide by.
How do you calculate percent growth?
Percent growth is the same calculation as percent increase. Take the change, divide it by the starting figure, and multiply by 100.
Can a percentage increase be more than 100%?
Yes. Anything that more than doubles has increased by over 100%. Going from 20 to 60 is a 200% increase, because the rise of 40 is twice the original 20.
Other percentage calculations
How it works
The percentage increase formula
Percentage increase = (new value − original value) ÷ original value × 100
How to calculate percentage increase
Subtract the original value from the new value. That gives you the size of the rise. Divide that rise by the original value, not by the new one. This is the step people get wrong. Multiply by 100 to turn it into a percentage.
Percentage growth, rise, and improvement are the same sum
Growth rate, percentage rise, and improvement percentage all describe this calculation. The wording changes with the subject, and the arithmetic does not. Always divide by the value you started from.