Percentage Increase Calculator

Calculate the percentage increase or decrease between two values. Enter your original value and new value to see the exact percentage change instantly.

Percentage Change
Difference
Multiplier

Increase a Number by Percentage

Calculate what a number becomes after a percentage increase. Enter the starting value and the percentage increase to find the result.

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Result After Increase
Amount Added

Find Original Value Before Increase

If you know the final value after an increase, calculate what the original value was. Useful for finding pre-increase prices or original figures.

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Original Value
Amount of Increase

Whether you are tracking sales growth, price changes, investment returns, or any other metric, understanding percentage increase is essential. This calculator instantly shows you the percentage change between any two values, plus helpful extras like the multiplier and actual difference.

Need to work backwards? Use the second calculator to increase a number by a percentage, or the third to find the original value before an increase. If you only need “what is X% of Y?” or a quick reverse percentage, visit our Percent Calculator.

How to Calculate Percentage Increase

Percentage increase measures how much a value has grown relative to its original amount. The formula is straightforward:

Percentage Increase = ((New Value – Original Value) / Original Value) x 100

Step-by-step method:

  1. Subtract the original value from the new value (this gives you the increase)
  2. Divide the increase by the original value
  3. Multiply by 100 to convert to a percentage
Example: Price increased from $80 to $100
Step 1: Increase = $100 – $80 = $20
Step 2: $20 / $80 = 0.25
Step 3: 0.25 x 100 = 25%

The price increased by 25%

Percentage Increase Formula

Here are the key formulas you need for percentage increase calculations:

Find Percentage Increase

% Increase = ((New – Original) / Original) x 100

Find New Value After Increase

New Value = Original x (1 + Percentage / 100)

Find Original Value Before Increase

Original Value = New Value / (1 + Percentage / 100)
Using Each Formula

Find % increase: 50 to 65

((65 – 50) / 50) x 100 = 30% increase

Find new value: 50 increased by 30%

50 x (1 + 30/100) = 50 x 1.30 = 65

Find original: 65 after 30% increase

65 / (1 + 30/100) = 65 / 1.30 = 50

How to Calculate Percentage Decrease

Percentage decrease uses the same formula, but the result will be negative (or you can take the absolute value and state it as a decrease):

Percentage Decrease = ((Original Value – New Value) / Original Value) x 100
Example: Price dropped from $100 to $75
Decrease = $100 – $75 = $25
Percentage = ($25 / $100) x 100 = 25%

The price decreased by 25%

Important Note

A 25% increase followed by a 25% decrease does NOT return you to the original value. If $100 increases by 25% to $125, then decreases by 25%, you get $93.75 – not $100. The percentages are calculated from different bases.

Percentage Increase vs Percentage Points

These terms are often confused but mean very different things:

TermMeaningExample
Percentage IncreaseRelative change from original20% to 25% = 25% increase
Percentage PointsAbsolute difference20% to 25% = 5 percentage points
Example: Interest rate rises from 4% to 5%

Percentage point increase: 5% – 4% = 1 percentage point

Percentage increase: ((5 – 4) / 4) x 100 = 25% increase

The rate increased by 1 percentage point, which is a 25% increase.

When news reports say “unemployment rose by 2 percentage points,” they mean the absolute change (e.g., 5% to 7%), not a relative increase.

Percentage Increase Examples

Here are real-world examples showing percentage increase calculations:

Example 1: Salary Raise

Salary: $50,000 to $55,000
Increase = $55,000 – $50,000 = $5,000
Percentage = ($5,000 / $50,000) x 100 = 10%

You received a 10% raise

Example 2: Stock Price

Stock: $45 to $63
Increase = $63 – $45 = $18
Percentage = ($18 / $45) x 100 = 40%

The stock gained 40%

Example 3: Website Traffic

Visitors: 1,200 to 1,800
Increase = 1,800 – 1,200 = 600
Percentage = (600 / 1,200) x 100 = 50%

Traffic increased by 50%

Example 4: Price Decrease

TV Price: $800 to $600
Decrease = $800 – $600 = $200
Percentage = ($200 / $800) x 100 = 25%

The price dropped by 25%

Example 5: Population Growth

City Population: 85,000 to 102,000
Increase = 102,000 – 85,000 = 17,000
Percentage = (17,000 / 85,000) x 100 = 20%

Population grew by 20%

Common Percentage Increases

Here is a quick reference showing what common percentage increases look like:

% IncreaseMultiplierExample (from 100)
5%1.05100 becomes 105
10%1.10100 becomes 110
15%1.15100 becomes 115
20%1.20100 becomes 120
25%1.25100 becomes 125
50%1.50100 becomes 150
75%1.75100 becomes 175
100%2.00100 becomes 200 (doubled)
200%3.00100 becomes 300 (tripled)
The Multiplier Shortcut

To quickly calculate a percentage increase, add the percentage to 100 and divide by 100 to get the multiplier. For a 35% increase: (100 + 35) / 100 = 1.35. Multiply any value by 1.35 to increase it by 35%.

Year-Over-Year Percentage Change

Year-over-year (YoY) percentage change compares a value to the same period in the previous year. It is commonly used for:

  • Revenue and sales growth
  • Stock performance
  • Economic indicators (GDP, inflation)
  • Website traffic and conversions
Example: Q3 Sales YoY

Q3 2024: $450,000

Q3 2023: $380,000

YoY Change = (($450,000 – $380,000) / $380,000) x 100
YoY Change = ($70,000 / $380,000) x 100 = 18.4%

Sales grew 18.4% year-over-year

YoY comparisons help eliminate seasonal variations. Comparing December to November is misleading for retail (holiday sales). Comparing December 2024 to December 2023 gives a true growth picture.

Compound Percentage Increase

When percentage increases happen repeatedly (like annual growth), they compound. Each increase is calculated on the new, higher value.

Final Value = Original x (1 + Rate/100)^periods
Example: 10% Annual Growth for 5 Years

Starting value: $10,000

After 5 years = $10,000 x (1.10)^5
= $10,000 x 1.61051 = $16,105.10

Total increase: 61.05% (not 50%)

This is why compound growth is so powerful – and why compound interest on debt can be dangerous. Learn more about compound calculations in our percentage calculation guide.

Percentage Increase in Business

Business metrics frequently measured as percentage increases include:

MetricWhat It MeasuresGood Target
Revenue GrowthSales increase YoY10-25%+ annually
Customer GrowthNew customer acquisition15-30%+ annually
Traffic GrowthWebsite visitors20-50%+ annually
Conversion RateVisitors to customersAny increase is good
Average Order ValueSpend per transaction5-15%+ annually
Profit MarginProfitabilitySteady or increasing

For profit calculations, try our profit margin calculator. For pricing changes, use our discount calculator.

Frequently Asked Questions

What is the formula for percentage increase?

The formula is: Percentage Increase = ((New Value – Original Value) / Original Value) x 100. Subtract the original from the new, divide by the original, and multiply by 100. For example, going from 50 to 75: ((75-50)/50) x 100 = 50% increase.

How do I calculate a 20% increase?

Multiply the original value by 1.20. For example, $150 with a 20% increase: $150 x 1.20 = $180. Alternatively, find 20% of the value ($150 x 0.20 = $30) and add it to the original ($150 + $30 = $180).

What is the difference between percentage increase and percentage points?

Percentage increase is a relative change, while percentage points is an absolute difference. If interest rates go from 4% to 5%, that is a 1 percentage point increase, but a 25% relative increase (because 1 is 25% of 4). The terms are often confused but mean very different things.

How do I find the original value before a percentage increase?

Divide the final value by (1 + percentage/100). If something is now $120 after a 20% increase: $120 / 1.20 = $100 original value. This reverses the multiplication used to apply the increase.

Can percentage increase be more than 100%?

Yes, absolutely. A 100% increase means the value doubled. A 200% increase means it tripled. If something goes from 50 to 200, that is a 300% increase ((200-50)/50 x 100 = 300%). There is no upper limit to percentage increase.

Why does a 50% increase then 50% decrease not equal the original?

Because the percentages are calculated from different bases. $100 + 50% = $150. Then $150 – 50% = $75 (not $100). The 50% decrease is calculated from the higher $150 value, so you lose more than you gained. To return to the original after a 50% increase, you need a 33.3% decrease.

How do I calculate year-over-year percentage change?

Use the same formula: ((This Year Value – Last Year Value) / Last Year Value) x 100. For example, if revenue was $800,000 last year and $920,000 this year: (($920,000 – $800,000) / $800,000) x 100 = 15% YoY growth.

What is a good percentage increase for business growth?

It varies by industry and stage. Startups often target 100%+ annual growth. Established businesses typically aim for 10-25% annually. Any consistent growth above inflation (2-3%) means real progress. Compare to industry benchmarks for the most relevant targets.

Related Calculators

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