A percentage increase describes growth relative to a starting amount. It is the language of pay raises, price hikes, rent renewals, markups and population growth. This calculator handles the three forms the question usually takes: how much did it go up?, what will it be after going up?, and what was it before it went up? — plus repeated increases that compound over time.
How to use the percentage increase calculator
- Pick what you want to find from the menu.
- Percent increase mode: enter the original and new values.
- After an increase mode: enter the original value and the percentage. To apply the same raise several times, such as three yearly raises, set the “how many times” box.
- Before an increase mode: enter the new value and the percentage that was added.
- The tape shows the answer; the steps show the multiplier method so you can repeat it on a phone calculator.
Percentage increase formulas
Finding the rate of increase:
Applying an increase uses a multiplier — 1 plus the rate as a decimal:
Undoing an increase divides by the same multiplier:
Worked example: a 5.5% raise
Jordan earns $62,000 and receives a 5.5% raise.
Multiplier: 1 + 5.5 ÷ 100 = 1.055
New salary: 62,000 × 1.055 = $65,410
Check the rate: (65,410 − 62,000) ÷ 62,000 = 0.055 = 5.5%
Working backward: 65,410 ÷ 1.055 = $62,000
If the same 5.5% raise arrives three years in a row, the salary becomes 62,000 × 1.055³ ≈ $72,802.97. The total increase is about 17.42%, not 3 × 5.5% = 16.5%, because the second and third raises are calculated on a larger salary.
Multipliers for common increases
| Increase | Multiplier | 200 becomes |
|---|---|---|
| 3% | 1.03 | 206 |
| 5.5% | 1.055 | 211 |
| 10% | 1.10 | 220 |
| 25% | 1.25 | 250 |
| 50% | 1.50 | 300 |
| 100% | 2.00 | 400 |
| 150% | 2.50 | 500 |
Thinking in multipliers makes long chains simple: two increases of 10% and 20% combine to 1.10 × 1.20 = 1.32, a 32% total increase.
The reverse-percentage trap
The most common mistake with increases is trying to undo one by subtracting the same percentage. A jacket that costs $130 after a 30% markup did not cost $130 − 30% × $130 = $91. The markup was 30% of the original price, so the original is $130 ÷ 1.30 = $100. Subtracting 30% of the higher price removes too much. The reverse mode in this calculator shows the correct answer next to the common wrong one so you can see the gap.
Where percentage increases show up
- Pay: raises, cost-of-living adjustments and overtime premiums. To see whether a raise beats rising prices, compare it with the salary inflation calculator.
- Retail: a markup over cost is a percentage increase. The markup calculator adds margin comparisons.
- Housing: lease renewals are often quoted as a percent increase on the current rent.
- Science and data: growth of a bacterial culture or website traffic between two measurements.
If your new value turns out to be smaller than the original, the result will be negative; for discounts and drops, the percentage decrease calculator frames the answer in those terms. To check a move in either direction with a single signed answer, use the percentage change calculator.
Frequently asked questions
How do I calculate a percentage increase?
Subtract the original value from the new value, divide the result by the original value, and multiply by 100. A salary going from $62,000 to $65,410 is (65,410 − 62,000) ÷ 62,000 × 100 = 5.5%.
How do I add a percentage to a number?
Multiply the number by 1 plus the percentage written as a decimal. To add 5.5% to 62,000, multiply by 1.055 to get 65,410. This one-step multiplier is faster than finding the increase and adding it separately.
How do I find the original number before a percentage increase?
Divide the new number by the multiplier (1 + percent ÷ 100). If a price is $65,410 after a 5.5% increase, the original was 65,410 ÷ 1.055 = $62,000. Do not subtract 5.5% of the new price — that gives $61,812.45, which is too low.
Are three 5% increases the same as one 15% increase?
No. Each increase is applied to the already-raised amount, so the total is 1.05 × 1.05 × 1.05 = 1.157625, an increase of about 15.76%. Use the "how many times" box to see the compounding step by step.
Can a percentage increase be more than 100%?
Yes. A 100% increase doubles a value and a 200% increase triples it. Going from 40 to 130 is a 225% increase because the value grew by 90, which is 2.25 times the original 40.