If you have ever asked, "What is the percentage increase from one number to another?", you are not alone.
People use percentage increase for salary raises, price changes, stock moves, business reports, school grades, and monthly budgeting. The formula is simple once you know it, but it is also one of the easiest calculations to get wrong when you are moving fast.
This guide explains how to calculate percentage increase step by step, when to use percentage change instead, and which mistakes to avoid.
Use the free Percentage Calculator to calculate percent increase, percent decrease, or "X% of Y" instantly.
Quick Answer
The formula for percentage increase is ((New Value - Original Value) / Original Value) x 100.
Example: if something goes from 80 to 100, the increase is 20. Then 20 / 80 = 0.25. Multiply by 100 and you get a 25% increase.
What Is Percentage Increase?
Percentage increase tells you how much a number has gone up compared with its starting value.
It answers questions like:
- My salary went from $50,000 to $55,000. What percent increase is that?
- A product price rose from $80 to $100. How much did it increase by percentage?
- Website traffic went from 2,000 visits to 2,600 visits. What is the growth rate?
The most important rule is simple: always compare the change against the original value.
Percentage Increase Formula
The standard formula is:
Percentage Increase = ((New Value - Original Value) / Original Value) x 100
In plain English:
- Subtract the original value from the new value.
- Divide that difference by the original value.
- Multiply by 100.
| Step | What to do | Example |
|---|---|---|
| 1 | Find the increase | 100 - 80 = 20 |
| 2 | Divide by the original value | 20 / 80 = 0.25 |
| 3 | Convert to percent | 0.25 x 100 = 25% |
Examples of Percentage Increase
Example 1: Salary Increase
If your salary goes from $50,000 to $55,000:
- Increase: 55,000 - 50,000 = 5,000
- Divide by original: 5,000 / 50,000 = 0.10
- Convert to percent: 0.10 x 100 = 10%
Your salary increased by 10%.
Example 2: Price Increase
If a product price changes from $80 to $100:
- Increase: 100 - 80 = 20
- Divide by original: 20 / 80 = 0.25
- Convert to percent: 0.25 x 100 = 25%
The price increased by 25%.
Example 3: Traffic Growth
If traffic rises from 2,000 monthly visits to 2,600:
- Increase: 2,600 - 2,000 = 600
- Divide by original: 600 / 2,000 = 0.30
- Convert to percent: 0.30 x 100 = 30%
Traffic increased by 30%.
Percentage Increase Shortcut
If you do not want to write the full formula every time, use this shortcut:
- Find the difference.
- Divide by the original number.
- Move the decimal two places to the right.
Example: from 120 to 150
- Difference = 30
- 30 / 120 = 0.25
- 0.25 = 25%
Most Common Mistake
The biggest mistake is dividing by the new value instead of the original value.
Using the salary example:
- Original = 50,000
- New = 55,000
- Increase = 5,000
Wrong: 5,000 / 55,000 = 9.09%
Right: 5,000 / 50,000 = 10%
Why? Because percentage increase measures change relative to where you started.
Percentage Increase vs Percentage Change
These terms are related, but they are not always identical.
- Percentage increase is used only when the new value is higher.
- Percentage decrease is used when the new value is lower.
- Percentage change is the broader term that covers both.
If a number goes from 100 to 80, that is not a percentage increase. It is a 20% decrease, or more generally a -20% change.
If you want to calculate either case, use the Percentage Calculator.
Real-Life Uses
Salary and Compensation
Use percentage increase to compare annual raises, hourly rate changes, bonuses, or freelance pricing.
Business and Marketing
It is commonly used for revenue growth, customer growth, conversion rate improvement, and campaign reporting.
Personal Finance
You can use it for rent increases, grocery cost changes, subscription price comparisons, and simple investment tracking.
School and Test Scores
Students often use percentage increase to measure score improvement between tests or semesters.
Special Cases
What if the original value is 0?
If the original value is zero, the normal formula does not work because you cannot divide by zero.
In that case, describe it as a move from zero to a new value rather than a standard percentage increase.
What if the result is negative?
If the new value is smaller than the original value, you do not have an increase. You have a decrease.
Example: from 200 to 150
- Change = -50
- -50 / 200 = -0.25
- -0.25 x 100 = -25%
That means a 25% decrease.
Quick Reference Table
| Original | New | Result |
|---|---|---|
| 50 | 75 | 50% increase |
| 80 | 100 | 25% increase |
| 120 | 150 | 25% increase |
| 200 | 150 | 25% decrease |
| 40 | 44 | 10% increase |
Need an instant answer? Open the Percentage Calculator and use the percentage change mode.
FAQ
How do I calculate percentage increase quickly?
Subtract the old value from the new value, divide by the old value, then multiply by 100.
What is the formula for percentage increase?
((New Value - Original Value) / Original Value) x 100
Is percentage increase the same as percentage change?
No. Percentage increase applies only when the value goes up. Percentage change can describe either an increase or a decrease.
Can percentage increase be more than 100%?
Yes. If a value more than doubles, the increase is greater than 100%.
Example: from 50 to 125 gives a 150% increase.
Final Takeaway
Percentage increase is easy once you remember one rule: always divide by the original number.
That one step prevents most mistakes in budgeting, reporting, pricing, and school math.
If you want to skip the manual math, use the free Percentage Calculator to get the answer instantly.