How to Calculate Percentage Increase — Simple Formula With Real Examples
Whether you are calculating a salary raise, tracking a price change, or measuring score improvements, the percentage increase formula takes three steps. This guide explains the formula clearly with examples you can follow in under a minute.
Got a raise? Our pay raise calculator shows your percentage increase, new monthly pay, and annual difference — in seconds.
Open Pay Raise Calculator →The Percentage Increase Formula
Three steps every time:
- Subtract the original value from the new value to get the change amount
- Divide the change by the original value
- Multiply by 100 to convert to a percentage
If the result is positive → percentage increase. If negative → percentage decrease.
Step-by-Step Examples
Example 1: Price Increase
A coffee that cost $3.50 now costs $4.20. What is the percentage increase?
- Change = $4.20 − $3.50 = $0.70
- Divide by original: $0.70 ÷ $3.50 = 0.20
- Multiply by 100: 0.20 × 100 = 20% increase
Example 2: Salary Raise
Your salary went from $55,000 to $61,600. What percentage raise is that?
- Change = $61,600 − $55,000 = $6,600
- Divide by original: $6,600 ÷ $55,000 = 0.12
- Multiply by 100: 0.12 × 100 = 12% raise
Use our pay raise calculator to compute this instantly and see your new monthly take-home pay.
Example 3: Test Score Improvement
A student scored 68 on the first test and 85 on the second. What is the improvement?
- Change = 85 − 68 = 17
- Divide: 17 ÷ 68 = 0.25
- Multiply: 0.25 × 100 = 25% improvement
Example 4: Business Revenue Growth
Revenue went from $240,000 to $312,000 this year. What is the growth rate?
- Change = $312,000 − $240,000 = $72,000
- Divide: $72,000 ÷ $240,000 = 0.30
- Multiply: 0.30 × 100 = 30% growth
How to Calculate a Specific Percentage Increase
When you know the percentage and want the new value:
Common Percentage Multipliers
| % Increase | Multiply by | $1,000 becomes |
|---|---|---|
| 3% | 1.03 | $1,030 |
| 5% | 1.05 | $1,050 |
| 10% | 1.10 | $1,100 |
| 15% | 1.15 | $1,150 |
| 20% | 1.20 | $1,200 |
| 25% | 1.25 | $1,250 |
| 50% | 1.50 | $1,500 |
| 100% | 2.00 | $2,000 |
Percentage Increase vs. Percentage Points
This is the most commonly confused concept in math and finance. If a bank's interest rate goes from 4% to 6%:
- Percentage point change: 2 (simply 6 minus 4)
- Percentage increase: 50% (because 2 ÷ 4 × 100 = 50%)
News headlines often say "rates increased 2%" when they actually mean 2 percentage points — which is actually a 50% increase in the rate itself. These are very different statements.
How to Calculate Percentage Increase in Excel / Google Sheets
Where A2 = original value, B2 = new value. To display automatically as a percentage, use =(B2-A2)/A2 and format the cell as "Percentage" in the number format menu.
Common Mistakes to Avoid
- Using the wrong base: Always divide by the original value, not the new one. From $80 to $100: (100−80)/80 = 25%, not (100−80)/100 = 20%.
- Confusing increase with final value: A 50% increase on $200 gives $300, not $100. The increase is $100; the new total is $300.
- Stacking percentages: Two 10% increases ≠ 20%. $100 → $110 → $121 = 21% total, not 20%. This is compound growth.
Real-World Applications
Salary Negotiations
A $3,000 raise means very different things at a $30,000 salary (10%) vs. $120,000 (2.5%). Always calculate the percentage when evaluating offers. Our pay raise calculator shows both the dollar amount and percentage instantly.
Investment Returns
Portfolio grew from $10,000 to $14,500? That is a 45% increase. Use our compound interest calculator to project what that growth rate means for your future wealth.
Inflation and Price Changes
If rent goes from $1,200 to $1,380, that is a 15% increase — meaning you need 15% more income just to stay even on housing costs.
Grades and Test Scores
Use our grade calculator to find exactly what score you need on remaining assignments to hit your target — with or without a percentage increase goal.
Enter your old and new salary to instantly see the percentage increase, new monthly pay, and annual difference.
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