How a percentage increase works
Multiply the starting value by 1 plus the percentage divided by 100. A 12% rise multiplies by 1.12.
The amount added is the new value minus the starting value, which is the starting value multiplied by the percentage on its own.
Worked example
A value of 250 rises by 12%. The multiplier is 1 + 12 / 100 = 1.12, so the new value is 250 x 1.12 = 280.
The increase is 280 - 250 = 30, which is 12% of 250.
Why the multiplier matters
Two rises in a row multiply together. A 12% rise followed by a 10% rise gives 1.12 x 1.10 = 1.232, which is a 23.2% rise overall, not 22%.
The multiplier also lets you check a quoted rise. A price that goes from 250 to 280 has a multiplier of 1.12, so the rise was 12%.
Inputs for the percentage increase calculator
Starting value
The number before the rise. It can be negative or zero, but a rise from zero stays at zero.
Increase by
The percentage added to the starting value. Type 12 for a 12% rise.
CALCULATOR QUESTIONS
Percentage increase calculator questions
How do I add 12% to a number?
Multiply by 1.12. For 250, the answer is 280 and the rise is 30.
What is the difference between percentage increase and percentage change?
An increase always adds, so the answer is larger than the start. A percentage change reports either direction, including falls.
Can a percentage increase be more than 100%?
Yes. A 150% rise multiplies the value by 2.5, so 100 becomes 250.
Is a 12% rise the same as a rise of 12 percentage points?
No. Percentage points compare two percentages, such as a rate going from 4% to 16%. A percentage increase compares two amounts.