Percentage Increase Calculator with Steps
Measure how much a positive value grew from its original level. Get the increase amount, exact percentage increase, rounded rate, growth factor and a clear formula check.
Last Updated: July 26, 2026
Online Percent Increase Calculator
Enter a positive original value and a new value that is equal to or greater than it. Decimals, fractions, mixed numbers and scientific notation are supported.
Your growth rate, increase amount and verification will appear here.
Calculation steps
- Enter a positive original value and a new value.
Recent calculations
- Your last six results will appear here.
How to Use This Percentage Increase Calculator
- Enter the original value. This is the positive baseline before growth occurred.
- Enter the new value. For an increase calculation, it must be equal to or higher than the original value.
- Select the number of decimal places for the rounded display. The exact fraction remains available.
- Select Calculate Increase. Review the percentage increase, absolute change, growth factor and verification.
- Use Copy Result only after the current inputs have been calculated. Editing either value marks the old answer as outdated.
Both values must describe the same quantity in the same unit and over comparable periods. Do not compare monthly revenue with annual revenue, kilograms with pounds, or a partial dataset with a complete dataset unless you first standardize them.
Percentage Increase Formula
Percentage increase measures growth relative to the original value. First subtract the original value from the new value. Then divide the increase by the original value and multiply by 100.
The subtraction gives the absolute increase. Dividing by the original value converts that increase into a relative rate. Multiplying by 100 expresses the rate as a percentage.
- Increase amount = New value − Original value
- Increase rate = Increase amount ÷ Original value
- Percentage increase = Increase rate × 100
- Growth factor = New value ÷ Original value
Worked Example: Increase from 800 to 920
Suppose a value rises from 800 to 920. The absolute increase is 120. Compare that increase with the original 800, not with the new 920.
The percentage increase is 15%. The growth factor is 920 ÷ 800 = 1.15, so the new value is 1.15 times the original. Another equivalent statement is that the new value equals 115% of the original value.
Percentage Increase Versus Increase Amount
The increase amount and percentage increase describe different parts of the change. The amount keeps the original unit. The percentage has no unit because it compares the amount with its baseline.
An increase of 20 units is large when the original value is 40, because it represents 50%. The same 20-unit increase from 1,000 to 1,020 represents only 2%. Always report the baseline when a percentage change needs context.
| Original | New | Increase amount | Percentage increase | Growth factor |
|---|---|---|---|---|
| 40 | 60 | 20 | 50% | 1.5× |
| 80 | 100 | 20 | 25% | 1.25× |
| 200 | 250 | 50 | 25% | 1.25× |
| 800 | 920 | 120 | 15% | 1.15× |
| 1,000 | 1,020 | 20 | 2% | 1.02× |
Why the Original Value Is the Denominator
Percentage increase answers one directional question: how large is the gain compared with where the value started? That makes the original value the denominator. Dividing by the new value would answer a different question.
For a rise from 80 to 100, the gain is 20. Dividing 20 by the original 80 gives 25%. Dividing 20 by the new 100 gives 20%, which describes the gain as a share of the ending value. It is not the standard percentage increase.
Zero, Equal and Lower Values
Original value equals zero
A finite percentage increase from zero is undefined because the formula requires division by the original value. A move from 0 to 50 has an absolute increase of 50, but there is no finite percent increase. Phrases such as “infinite percent increase” are informal and should not replace the undefined mathematical result.
New value equals the original
If both positive values are equal, the increase amount is zero and the percentage increase is 0%. The calculator treats this as a valid no-growth result.
New value is lower
A lower new value represents a percentage decrease, not an increase. This tool stops and identifies the direction instead of displaying a negative increase. Keeping increase and decrease calculations separate reduces label errors in reports.
Negative Baselines Need a Stated Convention
The standard formula becomes hard to interpret when the original value is negative. A change from −100 to −50 is an increase of 50 units, but dividing 50 by −100 produces −50%. Some fields divide by the absolute original value, while others avoid percentages and report only the amount.
Because no single convention fits every subject, this calculator requires a positive original value. For profit, temperature, balance or scientific data that cross zero, report the start, end and absolute change, then apply the convention required by your field.
Percentage Increase Versus Percentage Points
Percentage points compare two values that are already percentages. Relative percentage increase compares the point change with the original percentage rate.
If a success rate rises from 20% to 25%, it increased by 5 percentage points. Its relative percentage increase is (25 − 20) ÷ 20 × 100 = 25%. Writing “up 5%” would be unclear because it may be read as either 5 points or a 5% relative rise.
Percentage Increase Versus Percentage Difference
Percentage increase is directional and uses the original value as the baseline. Percentage difference is symmetric and usually divides the absolute gap by the average of the two values. Swapping the original and new values changes a percentage-increase calculation, but it does not change a percentage-difference calculation.
Use percentage increase when time, order or a known baseline matters. Use percentage difference when comparing two measurements and neither one is the starting reference. Percent error uses another formula because it compares an observed result with an accepted value.
Successive Percentage Increases
Repeated increases compound. Two consecutive 10% increases do not produce a 20% total increase. Each change applies to a different baseline.
For several periods, multiply the growth factors. A 5% rise followed by a 20% rise has a combined factor of 1.05 × 1.20 = 1.26, which equals a 26% increase. Add percentage rates only when they apply independently to the same unchanged baseline.
Reverse a Known Percentage Increase
If you know the original value and percentage increase, multiply the original by one plus the rate. For a 15% increase, the growth factor is 1 + 15/100 = 1.15.
If you know the final value and increase rate, divide the final value by the growth factor. For example, if 920 is 15% above the original, the original equals 920 ÷ 1.15 = 800. Do not subtract 15% of the final value, because the 15% was measured against the smaller original baseline.
Practical Percentage Increase Examples
Price or cost growth
If a price rises from 1,250 to 1,400, the increase is 150. Dividing 150 by 1,250 gives 0.12, so the percentage increase is 12%. Keep tax, quantity and time period consistent in both values.
Salary growth
If annual salary moves from 500,000 to 550,000, the increase is 50,000 and the percentage increase is 10%. This arithmetic rate does not by itself measure purchasing-power growth. Inflation, tax and benefit changes affect the real outcome.
Website traffic
If comparable monthly sessions rise from 80,000 to 92,000, the increase is 12,000 and the growth rate is 15%. Confirm that tracking rules, consent coverage, bot filters and date lengths remained comparable before assigning a business cause.
Inventory or production
If output grows from 240 units to 300 units, the increase is 60 units, or 25%. A rate describes scale, while the 60-unit change is the amount available for capacity or cost analysis.
Exact Fractions and Rounding
Some percentage increases repeat as decimals. A rise from 3/8 to 1/2 has an increase amount of 1/8. Dividing 1/8 by 3/8 gives 1/3, so the exact percentage increase is 100/3%, or approximately 33.333333% at six decimal places.
The calculator parses accepted values into reduced fractions and uses integer-backed arithmetic. It rounds only the displayed decimal. Increasing the decimal-place setting does not change the exact answer. Use precision that matches the quality of your source data and avoid implying more measurement accuracy than the inputs provide.
Common Percentage Increase Mistakes
- Dividing the change by the new value instead of the original baseline.
- Reporting the absolute increase as though it were a percentage.
- Using a lower new value and calling the negative result an increase.
- Claiming a finite percentage increase from an original value of zero.
- Applying the ordinary formula to a negative baseline without stating a convention.
- Confusing percentage points with relative percentage increase.
- Adding repeated percentage increases instead of multiplying growth factors.
- Comparing different units, date ranges, samples or measurement definitions.
- Rounding the change rate before completing another calculation.
Input Rules and Calculation Method
You may enter whole numbers, decimals, simple fractions, mixed numbers or scientific notation. Examples include 1250, 12.5, 3/8, 1 1/2 and 2.5e3. Do not enter commas, currency symbols or percent signs. A fraction denominator must be nonzero. Each numeric part may contain up to 50 digits, and a scientific exponent must stay between −100 and 100.
The original value must be greater than zero. The new value must be equal to or greater than the original. The calculator reduces both inputs to exact rational numbers, subtracts them, divides the change by the original and multiplies by 100. It verifies the result by adding the exact increase back to the original value.
Calculations run in the current browser page. Recent history disappears when the page reloads. The tool gives a mathematical comparison only. It does not identify why a value changed or confirm whether the underlying data are reliable.
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Frequently Asked Questions
What is the formula for percentage increase?
Subtract the original value from the new value, divide the increase by the original value, then multiply by 100: ((new − original) ÷ original) × 100.
What is the percentage increase from 80 to 100?
The increase is 20. Divide 20 by the original 80 and multiply by 100. The percentage increase is 25%.
What is the percentage increase from zero?
It is undefined because the formula divides by the original value. You can report the absolute increase from zero, but there is no finite percentage increase.
Can I calculate percentage increase from a negative original value?
Negative baselines require a stated convention and often produce misleading signs under the standard formula. This calculator requires a positive original value.
What happens when the new value is lower?
A lower new value represents a percentage decrease. This calculator identifies the direction instead of labeling a negative change as an increase.
Is percentage increase the same as percentage difference?
No. Percentage increase uses the original value as a directional baseline. Percentage difference usually uses the average of two values and treats them symmetrically.
What is the difference between percentage increase and percentage points?
Percentage points give the direct gap between two rates. Percentage increase divides that gap by the original rate. A rise from 20% to 25% is 5 points and a 25% relative increase.
Do two 10% increases equal a 20% increase?
No. They compound: 1.10 multiplied by 1.10 equals 1.21, so two consecutive 10% increases produce a total increase of 21%.
How do I reverse a percentage increase?
Divide the final value by one plus the percentage rate as a decimal. If 920 is 15% above the original, calculate 920 ÷ 1.15 to get 800.
Does the calculator accept decimals and fractions?
Yes. It accepts whole numbers, decimals, simple fractions, mixed numbers and scientific notation without commas or unit symbols.
Does changing decimal places change the exact result?
No. The decimal-place setting changes only the rounded display. The calculator keeps and shows the reduced exact fraction.
Are my values stored or sent anywhere?
No. The calculation and recent history stay in the current browser page and disappear when it reloads. Standard website analytics may record a page visit, but not the values entered into this calculator.
Disclaimer: This tool provides a mathematical estimate for general education and planning. Verify units, periods, data definitions and rounding before using the result for an important decision.