Percentage increase tells you how much a value grew relative to where it started. Whether you're tracking exam score improvement, salary growth, or investment returns, the formula is the same.
This guide covers the formula, worked examples, common mistakes, and how it differs from percentage change and percentage difference.
The Percentage Increase Formula
Percentage Increase Formula
% Increase = ((New Value − Old Value) ÷ Old Value) × 100
Three steps:
- Subtract the old value from the new value (find the raw increase)
- Divide by the old value (make it relative to the starting point)
- Multiply by 100 (convert to percentage)
Step-by-Step Examples
Example 1: Exam Score Improvement
Your math score went from 65 to 82. What's the percentage increase?
| Step | Calculation | Result | |:---|:---|:---:| | 1. Find increase | 82 − 65 | 17 | | 2. Divide by old | 17 ÷ 65 | 0.2615 | | 3. Multiply by 100 | 0.2615 × 100 | 26.15% |
Your score increased by 26.15%.
Example 2: Salary Hike
Your monthly salary increased from ₹35,000 to ₹42,000:
| Step | Calculation | Result | |:---|:---|:---:| | 1. Find increase | 42,000 − 35,000 | 7,000 | | 2. Divide by old | 7,000 ÷ 35,000 | 0.20 | | 3. Multiply by 100 | 0.20 × 100 | 20% |
That's a 20% salary increase.
Example 3: GPA Improvement
Your GPA went from 3.2 to 3.7:
| Step | Calculation | Result | |:---|:---|:---:| | 1. Find increase | 3.7 − 3.2 | 0.5 | | 2. Divide by old | 0.5 ÷ 3.2 | 0.15625 | | 3. Multiply by 100 | 0.15625 × 100 | 15.63% |
Your GPA increased by 15.63%.
Percentage Increase Quick Reference Table
| Old Value | New Value | Increase | % Increase | |:---:|:---:|:---:|:---:| | 50 | 75 | 25 | 50% | | 60 | 80 | 20 | 33.3% | | 70 | 85 | 15 | 21.4% | | 80 | 90 | 10 | 12.5% | | 90 | 95 | 5 | 5.6% | | 100 | 120 | 20 | 20% | | 200 | 250 | 50 | 25% |
Notice: the same absolute increase (20 points) gives different percentage increases depending on the starting value. Going from 60 to 80 is a 33.3% increase, but from 100 to 120 is only 20%.
Percentage Increase vs Percentage Change vs Percentage Difference
These three terms are often confused. Here's how they differ:
| Term | When to Use | Formula | |:---|:---|:---| | Percentage Increase | Old → New, and New is higher | ((New − Old) ÷ Old) × 100 | | Percentage Change | Old → New, either direction | ((New − Old) ÷ Old) × 100 | | Percentage Difference | Comparing two values, no "old/new" | (|A − B| ÷ ((A + B) ÷ 2)) × 100 |
Key differences:
- Percentage increase only applies when the new value is higher (otherwise it's a decrease)
- Percentage change works in both directions — positive for increase, negative for decrease
- Percentage difference doesn't care about direction — it measures the gap between two values relative to their average
For more on these distinctions, see our Percentage Difference and Percentage Change tools.
Common Mistakes
❌ Dividing by the new value instead of the old
Going from 80 to 100: the increase is 20. Divide by 80 (the old value), not 100. 20÷80 = 25%. Dividing by 100 gives 20% — wrong.
❌ Confusing absolute increase with percentage increase
A 10-point increase from 50 is 20%, but a 10-point increase from 90 is only 11.1%. Same absolute gain, very different percentage.
❌ Adding increases that have different bases
If your score increases 10% in semester 1 and 15% in semester 2, the total increase isn't 25%. It's compounded: 1.10 × 1.15 = 1.265 = 26.5% total.
Real-World Applications
| Scenario | Old Value | New Value | % Increase | |:---|:---:|:---:|:---:| | Test score improvement | 72% | 88% | 22.2% | | Attendance increase | 75% | 90% | 20% | | Investment growth | ₹1,00,000 | ₹1,15,000 | 15% | | Website traffic | 5,000 visits | 7,500 visits | 50% | | CGPA improvement | 7.5 | 8.3 | 10.7% |
Your Calculation Toolkit
- Percentage Increase Calculator — calculate any percentage increase instantly
- Percentage Change Calculator — handle both increases and decreases
- Percentage Difference Calculator — compare two values
- Marks to Percentage Calculator — convert raw marks to percentage
Frequently Asked Questions
Need to calculate percentage increase quickly? Use our Percentage Increase Calculator — enter two values and get the result instantly.
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