๐ Math
Percentage Increase Calculator
Find the percentage increase between a starting value and a higher value.
๐ Your Assumptions
Calculate the percentage increase between any two values. Enter a starting value and a higher value to see the exact percentage increase and the raw amount of the increase. Perfect for tracking raises, price hikes, growth rates, and any situation where a number has gone up.
How to Use This Calculator
Three simple inputs give you the exact percentage increase.
1
Enter the starting value
Type the number you began with in the "Starting value" field. If your salary was $50,000 last year, enter 50000.
2
Enter the increased value
Type the higher number in the "Increased value" field. If your new salary is $55,000, enter 55000.
3
Read the percentage increase
The primary result shows the percentage increase: (55,000 โ 50,000) รท 50,000 ร 100 = 10%. That is your raise as a percentage.
4
Check the raw increase
The second output shows the absolute increase โ in the salary example, $5,000.
5
Test different values
Change either input to see how the increase changes. Going from 100 to 150 is a 50% increase. Going from 200 to 300 is also a 50% increase โ the starting value determines the base.
What Your Results Mean
Understanding the two outputs helps you apply the number correctly.
Percentage Increase
The relative size of the increase, using the starting value as the base. This is the number people usually mean when they say "it went up by X%."
Increase Amount
The raw numeric increase (new โ starting). Same units as your inputs โ dollars, people, units, etc.
Why Percentage Matters
A $5,000 raise is 10% on a $50,000 salary but only 5% on a $100,000 salary. Percentage normalizes the increase for comparison.
Common Uses
Salary raises, price increases, revenue growth, population growth, website traffic changes, and investment returns.
Compound Increases
Repeated percentage increases compound. Two consecutive 10% raises give 21% total, not 20%, because the second raise is on the higher base.
Not the Same as Markup
Percentage increase compares two arbitrary values. Markup is specifically about cost vs. selling price โ use our markup calculator for that.
Key Terms
Percentage Increase
The relative change from a lower starting value to a higher ending value. Formula: (new โ old) / old ร 100.
Starting Value
The original or baseline number. Always used as the denominator in the percentage increase formula.
Increased Value
The higher number after the increase has been applied.
Absolute Increase
The raw difference in units (not percentage) between the starting and increased values.
Compound Growth
When percentage increases are applied to an already-increased base, producing larger total growth than simple addition would suggest.
โ Frequently Asked Questions
Percentage increase = (New Value โ Starting Value) รท Starting Value ร 100. For example, if a product went from $80 to $100, the increase is (100 โ 80) รท 80 ร 100 = 25%. If a population grew from 1,000 to 1,250, the increase is 25%. Always use the starting value as the denominator โ not the new value. Using the new value gives the wrong answer. This calculator does the math for you automatically; you just enter the two numbers.
They use the same formula โ (new โ old) / old ร 100. The only difference is framing. "Percentage increase" implies the number went up. "Percentage change" can be either direction. If your result comes out negative when using the percentage increase calculator, it means the second number is actually lower than the first โ in which case you are really looking at a decrease. For a directional-agnostic calculation, use our percentage change calculator.
Divide the raise amount by your old salary, then multiply by 100. For example, if you went from $60,000 to $66,000, the raise is $6,000. $6,000 รท $60,000 ร 100 = 10%. That is a 10% raise. A common rule of thumb: 3% is a cost-of-living adjustment, 5โ8% is a strong merit raise, and 10%+ typically means a promotion or a change of employer. Enter your old and new salaries into this calculator to see your exact raise percentage.
Because the percentages are calculated from different bases. If a stock drops from $100 to $50, that is a 50% decrease (50 รท 100). To recover to $100, it needs to gain $50 on a $50 base, which is a 100% increase (50 รท 50). This asymmetry is why losses in investing are so painful โ you need a much larger percentage gain to recover. Understanding this is critical for evaluating risk and returns.
Yes. Divide the new value by (1 + percentage/100). For example, if a price after a 25% increase is $125, the original was $125 รท 1.25 = $100. This is useful for verifying invoices, understanding historical prices, or reverse-engineering a starting point. Be careful: you cannot simply subtract the percentage from the new value โ you must divide, because the percentage was calculated against the original, not the new value.
It depends on context. In the US, a 3% raise typically matches inflation (a "cost-of-living adjustment"). A 5โ8% raise is generally considered a strong merit increase โ above inflation and reflecting good performance. A 10%+ raise usually signals a promotion, a major role change, or an aggressive retention offer. If you are not getting at least an inflation-matching raise, your real purchasing power is declining even if your nominal salary went up. Use this calculator to convert your raise to a percentage and compare against current inflation rates.
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