Percentage Increase Calculator
Find the percentage increase from one value to another.
How do you calculate a percentage increase?
Going from 80 to 100 is a 25% increase.
Percentage increase = ((New − Original) ÷ Original) × 100. Going from 80 to 100 is a 25% increase, because the 20-unit gain is measured against the original 80.
- Formula
- % Increase = ((New Value − Original Value) ÷ Original Value) × 100
- Definition
- Percentage increase is the growth from an earlier value to a later value, expressed as a proportion of the earlier (original) value.
- Find the difference:100 − 80 = 20
- Divide by the original:20 ÷ 80 = 0.25
- Multiply by 100:0.25 × 100 = 25%
How to use
Result
25%
From 80 to 100 is a 25% increase
Step-by-step
Tab to move between fields · Results update instantly as you typeResults update instantly as you type
Percentage increase = ((New − Original) ÷ Original) × 100. Going from 80 to 100 is a 25% increase, because the 20-unit gain is measured against the original 80, not the new 100.
How to Calculate Percentage Increase
Percentage increase measures how much a value has grown relative to its starting point. It's used everywhere — from tracking salary raises and stock returns to monitoring website traffic growth and population changes. Understanding this calculation helps you make sense of change over time.
The Formula: ((New Value − Original Value) ÷ Original Value) × 100
The key insight is that you divide by the original value, not the new one. This anchors the change to where you started. A jump from 80 to 100 is a 25% increase, but a jump from 100 to 120 is only a 20% increase — even though both are a difference of 20.
Practical Examples
- Salary: Your annual salary went from $52,000 to $58,000. That's an 11.54% raise — well above the typical 3–4% cost-of-living adjustment.
- Rent: Monthly rent increased from $1,200 to $1,380. Enter these values above to find it's a 15% hike.
- Investment: A stock price rose from $45 to $63. That's a 40% gain. Learn how growth compounds over time in our guide on compound interest.
- Website traffic: Monthly visitors grew from 8,000 to 12,400 — a 55% increase worth celebrating.
Increase vs. Decrease
If the new value is actually lower than the original, the result will be negative — indicating a decrease, not an increase. For a dedicated tool, use our Percentage Decrease Calculator. You can also compare two values symmetrically with the Percentage Difference Calculator.
For a step-by-step walkthrough with more examples, read our article on how to calculate percentage increase.
Common Percentage Increase Examples
Use the quick-answer table below — every row links to the calculator with the values pre-filled so you can verify or tweak in one click.
| Increase | From → To | Result | Open |
|---|---|---|---|
| 5% increase | 100 → 105 | +5 | Calculate |
| 10% increase | 100 → 110 | +10 | Calculate |
| 15% increase | 100 → 115 | +15 | Calculate |
| 20% increase | 100 → 120 | +20 | Calculate |
| 25% increase | 20 → 25 | +5 | Calculate |
| 30% increase | 100 → 130 | +30 | Calculate |
| 40% increase | 50 → 70 | +20 | Calculate |
| 50% increase | 100 → 150 | +50 | Calculate |
| 75% increase | 80 → 140 | +60 | Calculate |
| 100% increase | 50 → 100 | +50 | Calculate |
Looking for a different base value? Just enter your own numbers in the calculator above — the same formula applies to any pair of values.
The Formula Explained in Plain English
Every percentage increase answers one question: how big is the growth compared with where we started? Break it into three moves and it stops being intimidating:
- Measure the growth. New − Original. From 80 to 100, the growth is 20.
- Compare it with the starting point. 20 ÷ 80 = 0.25. The growth is a quarter of where you began.
- Turn the ratio into a percentage. 0.25 × 100 = 25%.
A useful shortcut for the reverse direction: to apply an increase, multiply by (1 + rate). A 12% increase on 450 is 450 × 1.12 = 504. To undo one, divide instead of subtracting — that is what the Reverse Percentage Calculator does.
Visualising a Percentage Increase
Seeing the size of the change next to the original value makes the number intuitive. Each bar below shows how much is added on top of a base of 100:
Light bar = the original value. Solid bar = the increase added on top.
Common Mistakes to Avoid
- Dividing by the new value. The denominator is always the original. Using 100 instead of 80 in the example above gives 20% — a wrong answer that looks plausible.
- Adding percentages that stack. Two consecutive 10% increases are not 20%. 100 → 110 → 121, which is a 21% total increase.
- Confusing percent with percentage points. A rate moving from 4% to 6% is a rise of 2 percentage points, but a 50% increase.
- Assuming increase and decrease cancel out. +50% then −50% leaves you at 75% of where you started, not back to even.
- Starting from zero. Percentage increase is undefined when the original value is 0 — there is nothing to compare the growth with. Report the absolute change instead.
- Rounding too early. Round only the final answer; rounding the intermediate ratio can shift the result by a full percentage point.
Where People Use Percentage Increase
| Use case | Typical question | Best tool |
|---|---|---|
| Salary and pay reviews | How big was my raise, really? | Percentage Increase |
| Pricing changes | What does a 7% price rise look like? | Percentage Calculator |
| Retail margins | What selling price gives a 40% markup? | Markup Calculator |
| Tax-inclusive pricing | What is the price after adding 20% VAT? | VAT Calculator |
| Undoing an increase | What was the price before the rise? | Reverse Percentage |
| Comparing two figures | Neither value is the "before" — how different are they? | Percentage Difference |
How This Calculator Works
The calculation runs entirely in your browser using standard double-precision arithmetic: the difference is divided by the absolute value of the original figure and multiplied by 100, then displayed to two decimal places. Nothing is sent to a server and no values are stored. If the original value is 0, the tool reports "N/A" rather than an infinite result.
Method reference: the percentage-change definition used here follows standard arithmetic conventions described in relative change and difference and the percentage-point distinction used by statistical agencies such as the U.S. Bureau of Labor Statistics when reporting price change. Reviewed and maintained by the Snap Percent Calc editorial team.
Percentage increase — worked examples
| Question | Calculation | Answer | Open |
|---|---|---|---|
| 100 → 110 | ((110 − 100) ÷ 100) × 100 | 10% | Prefilled |
| 80 → 100 | ((100 − 80) ÷ 80) × 100 | 25% | Prefilled |
| 50 → 65 | ((65 − 50) ÷ 50) × 100 | 30% | Prefilled |
| 1200 → 1350 | ((1350 − 1200) ÷ 1200) × 100 | 12.5% | Prefilled |
| 55000 → 60500 | ((60500 − 55000) ÷ 55000) × 100 | 10% | Prefilled |
| 45 → 63 | ((63 − 45) ÷ 45) × 100 | 40% | Prefilled |
| 50 → 150 | ((150 − 50) ÷ 50) × 100 | 200% | Prefilled |
Every figure above is produced by the same calculation engine that powers the calculator on this page.
Calculation method and limitations
Method: The difference between the two values is divided by the original value and multiplied by 100. The original value is always the denominator.
Limitations
- Growth from 0 is undefined, because the formula divides by the original value.
- Consecutive increases compound and cannot be added: +10% twice is +21%, not +20%.
- A negative result is a decrease, not an increase.
Method and examples last reviewed by the Snap Percent Calc editorial team. All calculations run locally in your browser.
Frequently Asked Questions
Learn more about percentages
How to Calculate Percentage Increase: Formula, Steps and Examples
Percentage increase formula, step by step: ((New − Old) ÷ Old) × 100. Example: $50 → $65 = 30% increase. Worked steps for price rises, pay raises, sales growth and inflation.
Read guidePercent vs Percentage vs Percentage Points: The Full Distinction
"Percent" and "percentage" are often interchangeable, but percentage points are different — and mixing them up can turn a 2-point rise into a 50% headline. Here's the clear rule.
Read guidePercentages in Finance: APR, Yield, Returns and Real Rates
The percentages that decide what money costs and earns — APR vs APY, nominal vs real returns, basis points, CAGR and drawdown maths — explained with worked numbers.
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