How to Calculate Percentage Increase: The Complete Guide
Whether you are tracking your salary raise, measuring business growth, or analyzing investment returns, knowing how to calculate percentage increase is one of the most valuable mathematical skills you can have. This guide walks you through the exact formula, step-by-step examples, and the most common real-world situations where you will need it.
If you just need a quick answer, use our free Percentage Increase Calculator to get an instant result.
The Percentage Increase Formula
The core formula for calculating percentage increase is:
Percentage Increase = ((New Value − Original Value) ÷ Original Value) × 100
This formula always works the same way:
- Find the difference between the new and original values
- Divide that difference by the original value
- Multiply by 100 to convert the decimal to a percentage
Step-by-Step Example
Problem: A product used to cost ₹800. It now costs ₹1,000. What is the percentage increase?
Step 1 — Find the difference: ₹1,000 − ₹800 = ₹200
Step 2 — Divide by the original value: ₹200 ÷ ₹800 = 0.25
Step 3 — Multiply by 100: 0.25 × 100 = 25%
The price has increased by 25%.
The Most Common Mistake: Dividing by the Wrong Number
The single most common error when calculating percentage increase is dividing by the new value instead of the original value. Always divide by where you started — not where you ended up.
Using the example above: if you accidentally divided ₹200 by ₹1,000 (the new price), you would get 20%, not 25%. That is wrong. The increase is measured relative to the original value, not the final one.
Real-World Applications
1. Salary Raises
You earn ₹50,000/month and get a raise to ₹55,000. Increase = (₹5,000 ÷ ₹50,000) × 100 = 10% raise
This is one of the most practical uses of the percentage increase formula. Knowing your raise percentage helps you compare offers and evaluate if your pay is keeping up with inflation.
2. Price Increases and Inflation
When the price of your monthly grocery basket jumps from ₹6,000 to ₹6,900, you are experiencing: (₹900 ÷ ₹6,000) × 100 = 15% price increase
This is exactly how inflation rates are calculated — by measuring the percentage increase in the price of a standard basket of goods over time.
3. Business Sales Growth
Your company’s revenue grew from ₹12 lakh last quarter to ₹15 lakh this quarter. (₹3,00,000 ÷ ₹12,00,000) × 100 = 25% growth
Sales teams use this calculation constantly to report quarter-over-quarter (QoQ) and year-over-year (YOY) growth to management.
4. Investment Returns
You invested ₹10,000 in a mutual fund. It is now worth ₹13,500. (₹3,500 ÷ ₹10,000) × 100 = 35% return
This is the Return on Investment (ROI) — the standard way the finance industry measures how well any investment has performed.
5. Website and App Metrics
Your app had 2,000 users last month and now has 2,600 users. (600 ÷ 2,000) × 100 = 30% user growth
Product managers and marketers track these percentage increases to report on the health of a product.
How to Calculate a Percentage Increase Over Time
When you want to measure growth over multiple periods (like annual compound growth), use the same formula but apply it to the start and end points, not each individual step.
For example, if a stock went from ₹100 in January to ₹150 in December: (₹50 ÷ ₹100) × 100 = 50% increase over the year
For compound annual growth rate (CAGR) over multiple years, a different formula is needed, but for single-period percentage increase, the standard formula always applies.
Specific Examples People Often Search For
- Increase from 44 to 115: (71 ÷ 44) × 100 = 161.4% increase
- Increase of 10%: Multiply the original by 1.10
- Increase of 5%: Multiply the original by 1.05
- Increase by 110 from 60: (110 ÷ 60) × 100 = 183.3% increase
- Increase of 180 by 10%: 180 × 1.10 = 198
Percentage Increase vs. Percentage Points
These two terms are often confused:
- Percentage increase is relative. If a tax rate goes from 10% to 12%, it increased by (2÷10)×100 = 20% in relative terms.
- Percentage points is absolute. That same tax rate increased by 2 percentage points.
Both statements are mathematically correct but communicate very different things. Politicians and media often use them interchangeably (sometimes misleadingly), so it pays to know the difference.
Quick Mental Math Shortcuts
- 10% increase: Add one-tenth of the original number
- 5% increase: Add half of the 10% amount
- 1% increase: Move the decimal one place left and add
- 100% increase: Double the original value
- 1000% increase: Multiply by 11
Use the Calculator for Complex Cases
For multi-step calculations, unusual numbers, or when you need to work backwards (finding the original value when you know the final price and the percentage increase), our Percentage Increase Calculator handles all the heavy lifting instantly. You can also use our Percentage Calculator for related percentage problems.
The formula is simple, but accuracy matters — whether you are negotiating a salary, pricing a product, or analyzing investments.