Calculate the percentage increase or decrease between two numbers instantly with a step-by-step formula breakdown.
Instantly calculate the percentage change between two values with precise, step-by-step visual results.
Follow these simple steps to calculate percentage increase, determine percent growth between two numbers, and see instant mathematical breakdowns.
Input your initial value (original number) into the starting amount field.
Input your new value (final number) into the target amount field.
Get the exact percentage increase or decrease along with the net difference immediately.
Check the step-by-step mathematical working to see exactly how your result was calculated.
Understanding the mathematical formula behind percentage growth helps you calculate relative changes accurately across any two numbers.
The standard mathematical equation used to find the percentage change between an original starting value and a new final value.
The starting number before any change occurred, also called the original value. This is the base amount you're measuring growth or increase against.
The new or current number after the change or growth has taken place.
The net change found by subtracting the initial value from the final value (Final−Initial).
The relative change expressed as a percentage of the absolute initial starting value.
A percentage increase and an absolute increase measure change differently. Absolute increase tells you the raw difference between two numbers, while percentage increase tells you that difference relative to the original value. The same absolute increase can mean very different things depending on the starting point.
See how this calculator can be used in everyday situations with simple step-by-step examples.
Monthly salary scales from $3,000 to $3,450.
Given: Original $3,000, New $3,450
Calculation:
Increase = $450
% Increase = ($450 / $3,000) × 100 = 15%
Answer: 15% increase
Product price moves up from $80 to $100.
Given: Original $80, New $100
Calculation:
Increase = $20
% Increase = ($20 / $80) × 100 = 25%
Answer: 25% increase
Revenue scales up from $20,000 to $24,000.
Given: Original $20,000, New $24,000
Calculation:
Increase = $4,000
% Increase = ($4,000 / $20,000) × 100 = 20%
Answer: 20% increase
These are the most frequent errors people make when calculating percentage increase by hand, avoid them to get accurate results every time.
Always divide by the original (starting) value, not the final value. Dividing by the final value instead is the single most common percentage increase mistake and gives an incorrect result.
A change from 20% to 25% is a 5 percentage point increase, but it's actually a 25% relative increase (5 divided by 20, times 100). These two numbers are easy to mix up and mean very different things.
The formula produces a decimal (like 0.25) before the final step. Forgetting to multiply by 100 leaves you with the wrong unit, a fraction instead of a percentage.
If your result comes out negative, that means the value decreased, not increased. A negative "percentage increase" should be reported as a percentage decrease instead.
Rounding the difference or the original value before dividing can introduce small errors, especially with larger numbers. Always calculate with full precision, and round only the final percentage result.
Here's a fast way to estimate percentage increase in your head:
Going from about 200 to 220? The difference (20) is exactly 10% of 200, so that's a 10% increase, no calculator needed.
Common questions about calculating percentage increase, growth rates, and handling edge cases.
Subtract the starting (original) value from the final value to get the absolute difference. Divide that difference by the original value, then multiply by 100 to convert it into a percentage.
Percentage increase specifically measures positive growth where the final value is greater than the initial value. Percentage change is a broader term that encompasses both percentage increases (positive values) and percentage decreases (negative values).
If your calculation yields a negative percentage, it indicates that the final value is smaller than the original value. This means the number has decreased rather than increased, representing a percentage decrease.
Mathematically, calculating a percentage increase from zero is undefined because dividing any number by zero is impossible. If an original value starts at 0 and grows to 10 or more, it represents absolute growth rather than a measurable starting percentage.
Percentage points measure the direct arithmetic difference between two percentages. For example, an interest rate increase from 10% to 15% is a 5 percentage point increase, but it represents a 50% relative percentage increase relative to the original 10%.
You can't calculate a percentage increase from zero — dividing by zero is mathematically undefined. If your starting value is 0 and you have any final value greater than 0, the increase is technically infinite, not a fixed percentage. In practice, this usually means you should describe the change in absolute terms instead (e.g., "increased from 0 to 50 units") rather than as a percentage.
Yes. A percentage increase greater than 100% simply means the final value is more than double the original value. For example, going from 50 to 150 is a 200% increase, since the value tripled. There's no upper limit on how large a percentage increase can be.
Use the same formula: subtract your old salary from your new salary, divide by your old salary, then multiply by 100. For example, a raise from $50,000 to $55,000 is a $5,000 / $50,000 × 100 = 10% increase.
Use the formula =(B1-A1)/A1, where A1 is your original value and B1 is your new value, then format the cell as a percentage. This performs the exact same calculation as this calculator, just inside a spreadsheet.
Multiply the original number by the percentage (as a decimal), then add that result to the original number. For example, to add 20% to 100: 100 × 0.20 = 20, then 100 + 20 = 120. This calculator's "Add Percentage" mode does this automatically.
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