Percentage Increase Calculator — Find % Change Between Two Numbers
Calculate percentage increase or decrease between two values instantly. Covers salary hikes, price changes, investment returns, and population growth.
"What's the percentage increase from 450 to 580?" is a question that comes up in salary negotiations, investment returns, price comparisons, business metrics, and school math. The formula is simple but people consistently get it wrong by dividing by the wrong number.
The CalcHub Percentage Increase Calculator gives you the answer instantly.
The Formula
Percentage Change = (New Value − Old Value) / Old Value × 100- Positive result = increase
- Negative result = decrease
Quick Reference — Percentage Increase
| Old Value | New Value | Change | % Increase |
|---|---|---|---|
| 100 | 110 | +10 | 10% |
| 100 | 125 | +25 | 25% |
| 100 | 150 | +50 | 50% |
| 100 | 200 | +100 | 100% |
| 200 | 250 | +50 | 25% |
| 500 | 650 | +150 | 30% |
| 1,000 | 1,350 | +350 | 35% |
| 50,000 | 58,000 | +8,000 | 16% |
Quick Reference — Percentage Decrease
| Old Value | New Value | Change | % Decrease |
|---|---|---|---|
| 100 | 90 | −10 | −10% |
| 100 | 75 | −25 | −25% |
| 100 | 50 | −50 | −50% |
| 500 | 425 | −75 | −15% |
| 1,000 | 800 | −200 | −20% |
| 10,000 | 7,500 | −2,500 | −25% |
Real-World Applications
Salary Hike
Old salary: ₹50,000/month → New: ₹58,000/month Change = (58,000 − 50,000) / 50,000 × 100 = 16% hikeInvestment Return
Bought stock at ₹250, now ₹340 Change = (340 − 250) / 250 × 100 = 36% gainPrice Increase
Petrol was ₹95, now ₹102 Change = (102 − 95) / 95 × 100 = 7.4% increaseSales Growth
Last month revenue: ₹8,00,000 → This month: ₹9,20,000 Change = (9,20,000 − 8,00,000) / 8,00,000 × 100 = 15% growthWeight Loss
Starting weight: 85 kg → Current: 78 kg Change = (78 − 85) / 85 × 100 = −8.2% (lost 8.2%)Common Mistakes
Mistake 1: Dividing by the new value
Wrong: (580 − 450) / 580 = 22.4% Right: (580 − 450) / 450 = 28.9%Always divide by the original (old) value.
Mistake 2: Assuming symmetric increases and decreases
A 50% increase followed by a 50% decrease does NOT return to the original: ₹100 → +50% → ₹150 → −50% → ₹75 (you lost 25%)To reverse a 50% increase, you need a 33.3% decrease.
Mistake 3: Confusing percentage points and percentage change
Interest rate going from 5% to 7%:- Change in percentage points: 2 points
- Percentage change: (7−5)/5 × 100 = 40% increase
Percentage Change Over Multiple Periods
For year-over-year (YoY) changes, use the compound growth formula:
CAGR = (Final/Initial)^(1/years) − 1| Start | End | Years | Total Change | CAGR |
|---|---|---|---|---|
| ₹1,00,000 | ₹1,50,000 | 3 | 50% | 14.5%/year |
| ₹1,00,000 | ₹2,00,000 | 5 | 100% | 14.9%/year |
| ₹1,00,000 | ₹3,00,000 | 10 | 200% | 11.6%/year |
How to Use the Calculator
- Open the CalcHub Percentage Increase Calculator
- Enter original value (old number)
- Enter new value (current number)
- See: percentage change, absolute difference, and whether it's an increase or decrease
How do I calculate the final value from a percentage increase?
Final = Original × (1 + %/100)₹5,000 with a 12% increase: 5,000 × 1.12 = ₹5,600
How do I find the original value before a percentage increase?
Original = Final / (1 + %/100)If ₹5,600 was after a 12% increase: 5,600 / 1.12 = ₹5,000
What's the percentage change from 0?
Undefined — you can't divide by zero. If the old value is 0 and the new value is anything positive, the percentage increase is mathematically infinite. In practice, this means "new metric started" rather than "percentage change."
Related Calculators
- Percentage Calculator — all percentage operations
- CAGR Calculator — compound annual growth rate
- Discount Calculator — price after discount
- Markup Calculator — cost to price markup