Percentage Increase Calculator
How to use this calculator
- Enter the starting (original) value in the left field -- the value before the change.
- Enter the ending (new) value in the right field -- the value after the change.
- The percentage increase appears instantly in green. A negative result means the value decreased instead.
- Check the step-by-step section to see each calculation stage with your actual values substituted in.
- Click Copy to grab the percentage for a report, spreadsheet, or presentation slide.
Percentage increase formula
The formula
The percentage increase formula is:
Percentage Increase = ((New Value - Original Value) / Original Value) x 100
The formula always divides by the original value, never the new one. This anchors the result to the starting point, making the percentage a true measure of how much growth occurred relative to where things began. Dividing by the new value would give a different -- and less meaningful -- ratio.
Why divide by the original?
Percentage increase measures growth relative to the starting point. If a salary grows from $40,000 to $50,000, the $10,000 increase is measured against the $40,000 starting point: 10,000 / 40,000 x 100 = 25%. Dividing by the $50,000 new salary would give 20% -- which is a different question (what portion of the new salary is the increase). Always use the original as the denominator.
Percentage increase reference
| Original | New | Increase | % Increase |
|---|---|---|---|
| 100 | 110 | 10 | 10% |
| 200 | 250 | 50 | 25% |
| 80 | 100 | 20 | 25% |
| 50 | 100 | 50 | 100% |
| 10 | 30 | 20 | 200% |
What is percentage increase?
Percentage increase measures how much a value has grown relative to its starting point, expressed as a percentage. It answers the question: compared to where it started, how large is the growth? A salary rising from $40,000 to $48,000 has grown by $8,000 in absolute terms -- but as a percentage of its original value, it has grown by 20%. The percentage figure lets you compare this raise against raises at very different salary levels, or against inflation, or against other types of investment returns.
The word "increase" specifies direction: the new value must be higher than the original for the result to be a genuine percentage increase. When the formula returns a positive number, the value grew. When it returns a negative number, the new value is actually lower than the original -- that is technically a percentage decrease, even though the same formula computed it. This calculator shows positive results in green and negative (unexpected decrease) results in red so the direction is always visually clear.
Percentage increase appears constantly across fields. In finance, it tracks investment returns, revenue growth, and price changes. In education, it measures improvement in test scores between assessments. In health and fitness, it shows body weight changes, strength gains, and endurance improvements. In business, it tracks quarterly sales figures, user acquisition, and operational metrics. In all of these contexts, the percentage increase is more informative than the raw difference because it scales the change relative to the starting baseline.
Interpreting your percentage increase result
0% to 10% -- modest growth
Common in salary adjustments, modest price increases, and incremental business growth. Often close to or slightly above inflation. A 3-7% annual salary increase is typical in many industries; a 10% increase is generally considered a meaningful raise.
10% to 100% -- significant growth
Strong performance in investment returns, product price changes, or business revenue growth. A startup doubling year-over-year (100% increase) is notable. Investment returns in this range over a year indicate exceptional performance for most asset classes.
Over 100% -- the value more than doubled
A 100% increase means the value exactly doubled. A 200% increase means it tripled (original + 2x the original). These figures appear in startup valuations, high-growth assets, and viral content metrics. They are mathematically valid and straightforward -- the formula works identically at any scale.
Negative result -- new value is lower
If the calculator shows a negative percentage, the new value is actually lower than the original. This is a percentage decrease. Use the Percentage Decrease Calculator if you specifically want to frame and work with a declining value.
Real-world examples of percentage increase
Salary raise
Annual salary rises from $52,000 to $58,500. Increase = $6,500. Percentage increase = (6,500 / 52,000) x 100 = 12.5%. Context: this is a strong raise -- well above a typical 3-5% cost-of-living adjustment -- and reflects genuine career advancement or market realignment.
Product price change
A coffee bag was $9.99 last month and now costs $12.49. Increase = $2.50. Percentage increase = (2.50 / 9.99) x 100 = 25%. When comparing price changes across products of different prices, the percentage figure makes comparison meaningful: a 25% increase is a 25% increase whether you are tracking coffee or electronics.
Website traffic growth
A website had 3,200 visitors last month and 4,480 this month. Increase = 1,280. Percentage increase = (1,280 / 3,200) x 100 = 40%. Digital marketers track this to measure campaign effectiveness, SEO progress, and content performance over time.
Investment return
A portfolio was valued at $18,500 a year ago and is now worth $22,090. Increase = $3,590. Percentage increase = (3,590 / 18,500) x 100 = 19.4%. This is the annualised return for that period -- a standard way to compare performance across portfolios of different sizes.
Quick tips for percentage increase calculations
- Always divide by the original (old) value -- never the new one.
- A 100% increase = doubled. A 200% increase = tripled. A 50% increase = 1.5x.
- Increases and decreases are not symmetric. A 50% increase followed by a 50% decrease does NOT return to the original -- you end up 25% below the start.
- To find the new value after a % increase: New = Original x (1 + rate/100). After a 12% increase on $500: $500 x 1.12 = $560.
- Compound growth: For repeated increases, multiply each factor. Two years of 10% growth: $1,000 x 1.10 x 1.10 = $1,210 (not $1,200).
Common percentage increase mistakes
Dividing by the wrong value
The most consequential error is dividing by the new value instead of the original. A price rising from $200 to $250 is (50 / 200) x 100 = 25% -- not (50 / 250) x 100 = 20%. The 20% figure answers "what portion of the new price is the increase?" which is a different question. The percentage increase formula always uses the original as the base.
Treating increases and decreases as symmetric
They are not. An investment gaining 50% then losing 50% ends up at 75% of the starting value -- a net loss of 25%. A 50% gain from $100 = $150; a 50% loss from $150 = $75. The percentages are calculated on different bases each time. Never assume a gain and an equal-size loss cancel out.
Adding percentage increases directly
Two successive 10% increases do not equal a 20% increase. After the first: $100 x 1.10 = $110. After the second: $110 x 1.10 = $121. The total is a 21% increase, not 20%. For compound growth, multiply the multipliers, not the percentages.
Using an increase percentage to find the original price
If a price after a 25% increase is $125, the original is NOT $125 - 25% = $93.75. The correct calculation is $125 / 1.25 = $100. When reversing a percentage increase, divide the new value by (1 + rate/100), not apply the decrease to the new value.