To calculate percentage increase, subtract the original value from the new, larger value. Divide the increase by the original value and multiply by 100. For example, an increase from 80 to 100 is a 25 percent increase.
Enter an original value and a new value to calculate the percentage change, numerical difference, direction, and multiplier.
The increase is compared with the value before the growth occurred.
Percentage Increase Formula
Percentage increase measures how much a value has grown compared with its original amount.
The new value must be greater than the original value for the change to be described as an increase.
The Percentage Change Calculator automatically identifies whether the result is an increase or decrease.
How to Calculate Percentage Increase
Begin by identifying the value before the increase and the value after it.
- Subtract the original value from the new value.
- Divide the increase by the original value.
- Multiply the decimal result by 100.
- Add the percent sign and describe the result as an increase.
Worked Example: Increase from 80 to 100
Subtracting 80 from 100 gives an increase of 20.
Dividing 20 by 80 gives 0.25.
Multiplying 0.25 by 100 gives a percentage increase of 25 percent.
Price Increase Example
Suppose a product price rises from $50 to $60.
The price increase is $10.
Dividing 10 by 50 and multiplying by 100 gives a 20 percent price increase.
Salary Increase Example
Suppose an annual salary rises from $40,000 to $44,000.
The numerical increase is $4,000.
Dividing 4,000 by 40,000 gives 0.1, so the salary increased by 10 percent.
Revenue Increase Example
Suppose monthly revenue grows from $25,000 to $32,500.
The increase is $7,500.
Dividing 7,500 by 25,000 and multiplying by 100 gives a 30 percent revenue increase.
Traffic Increase Example
A website that grows from 8,000 to 10,000 monthly visits gains 2,000 visits.
Dividing 2,000 by 8,000 gives 0.25.
The website experienced a 25 percent traffic increase.
Percentage Increase vs Numerical Increase
Numerical increase reports the number of added units.
Percentage increase compares those added units with the original amount.
The same numerical increase can represent different percentages when the starting values differ.
| Change | Numerical increase | Percentage increase |
|---|---|---|
| 20 to 30 | 10 | 50% |
| 100 to 110 | 10 | 10% |
| 1,000 to 1,010 | 10 | 1% |
Can Percentage Increase Exceed 100 Percent?
Yes. A percentage increase exceeds 100 percent when the amount added is greater than the complete original value.
A change from 50 to 125 adds 75.
Because 75 is 150 percent of 50, the result is a 150 percent increase.
Doubling and Tripling a Value
When a value doubles, it becomes 200 percent of its original size but has increased by 100 percent.
When a value triples, it becomes 300 percent of the original but has increased by 200 percent.
The final percentage of the original and the percentage increase are not the same measurement.
Increase from Zero
A standard finite percentage increase cannot be calculated from an original value of zero.
The formula would require division by zero.
State the absolute increase instead and provide the original and new values.
Report the actual values and numerical increase instead.
Common Mistakes
Do not divide the increase by the new value.
Do not confuse becoming 120 percent of the original with increasing by 120 percent.
Do not claim a finite percentage increase when the original value is zero.
Conclusion
Find the increase, divide it by the original amount, and multiply by 100.
The result shows how much the value grew relative to where it started.
Use the Percentage Change Calculator to calculate an increase and view the complete working.
FAQs
What is the percentage increase formula?
Subtract the original value from the new value, divide by the original value, and multiply by 100.
What is the percentage increase from 80 to 100?
The increase is 20, which is 25 percent of the original value of 80.
Can percentage increase exceed 100 percent?
Yes. It exceeds 100 percent when the added amount is larger than the original value.
Does doubling mean a 200 percent increase?
No. Doubling produces a 100 percent increase and a final value equal to 200 percent of the original.
Can I calculate an increase from zero?
The absolute increase can be reported, but the standard percentage increase is undefined.