Percentage increase calculator.
Find the percentage increase or decrease between two numbers. Enter the original value and the new value to see the percent change and the amount it moved.
From and to
LiveThe percentage is measured against the original value. A new value above the original is an increase; below it is a decrease.
Percentage change
+50.00%
an increase on the original
Calculations run in your browser; nothing you enter is stored.
How it works
Measured against the original
A percentage increase compares two numbers by measuring the change against the starting value. The calculator subtracts the original from the new value to get the change, divides it by the original, and multiplies by 100 to get the percentage.
Going from 100 to 150 is a 50% increase, because the change of 50 is half of the original 100. If the new value is smaller, the result is negative and the calculator shows it as a decrease.
Reference
From 100 to a new value.
The percentage increase when the original value is 100.
| From 100 to | Increase |
|---|---|
| 110 | 10% |
| 120 | 20% |
| 125 | 25% |
| 140 | 40% |
| 150 | 50% |
| 175 | 75% |
| 200 | 100% |
| 250 | 150% |
The full guide
The complete guide to percentage increase.
What a percentage increase is, how to work it out, and how it differs from a decrease and from percentage points.
What is a percentage increase?
A percentage increase is how much a value has gone up, written as a percentage of the original value. It answers the question of how much bigger the new number is compared with where it started.
Because it is always measured against the original, the same absolute change can be a large or small percentage depending on the starting point. A rise of 50 is a 50% increase from 100, but only a 5% increase from 1,000.
How to calculate percentage increase
Subtract the original value from the new value to get the change, divide that change by the original value, then multiply by 100. So from 100 to 150, the change is 50, divided by 100 is 0.5, times 100 is a 50% increase.
Written as one line: percentage increase equals new minus original, divided by original, times 100.
Increase versus decrease
If the new value is larger than the original, the result is positive and it is an increase. If the new value is smaller, the result is negative and it is a decrease. The calculator labels which one you have so there is no confusion.
A decrease can never go below minus 100%, because a value cannot fall by more than its whole amount, but an increase has no upper limit.
Percentage increase versus percentage points
A percentage increase and a percentage point change are not the same thing, and mixing them up is a common error. Going from 10% to 15% is a 5 percentage point change, but a 50% increase, because 5 is half of the original 10.
When the values you are comparing are themselves percentages, be clear whether you mean the point gap or the percentage increase between them.
Where it is used
Percentage increase turns up everywhere: price rises, pay raises, growth in traffic or sales, and changes in statistics. It is the standard way to express change because it is comparable across very different sizes of number.
Use it to compare growth fairly, to express a raise, or to check how much a price has moved, and use the table above for quick reference at an original of 100.
The formula
From one
to another.
The change divided by the original, times 100. Positive is an increase, negative is a decrease.
Try the percentage calculator ›# Percentage change
change = new − original
percent = change / original × 100
# worked example
(150 − 100) / 100 × 100 = 50%Questions
Increase questions.
How do I calculate percentage increase?
+
Subtract the original value from the new value, divide by the original, and multiply by 100. From 100 to 150 the change is 50, divided by 100 is 0.5, times 100 is a 50% increase.
What is the percentage increase from 100 to 150?
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It is 50%. The change is 50, and 50 divided by the original 100, times 100, is 50%.
How is percentage increase different from percentage decrease?
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An increase is when the new value is larger than the original, giving a positive result. A decrease is when it is smaller, giving a negative result. The calculator labels which one applies.
Can a percentage increase be more than 100%?
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Yes. If a value more than doubles, the increase is over 100%. Going from 100 to 250 is a 150% increase. A decrease, by contrast, cannot go below minus 100%.
Is this percentage increase calculator free?
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Yes. It is completely free with no sign-up, and every calculation runs locally in your browser, so nothing you enter is stored or sent anywhere.
About the developer
Jean Borg
Jean builds and maintains every calculator on freecalculators.pro from Malta, with a focus on tools that are fast, free and show their working. The percentage increase calculator uses the standard percent-change formula and is provided for general and educational use.