Understanding Percentage Increase: Complete Guide
Percentage increase is a fundamental mathematical concept used to express how much a value has grown relative to its original amount. From tracking investment returns to understanding inflation, salary hikes, and population growth, percentage increases are everywhere in daily life and business decisions.
What is Percentage Increase?
A percentage increase represents growth expressed as a proportion of the original value. When we say something increased by 20%, it means the new value is 120% of the original—the original 100% plus an additional 20%. This relative measure allows comparison of growth across different scales and contexts.
The Percentage Increase Formula
Two common ways to calculate the new value after a percentage increase:
- Method 1: New Value = Original Value × (1 + Percentage ÷ 100)
- Method 2: New Value = Original Value + (Original Value × Percentage ÷ 100)
Example: Calculate 25% increase on ₹8,000:
- Method 1: 8,000 × (1 + 25÷100) = 8,000 × 1.25 = ₹10,000
- Method 2: 8,000 + (8,000 × 25 ÷ 100) = 8,000 + 2,000 = ₹10,000
Finding the Percentage Increase
When you know the old and new values and want to find the percentage increase:
- Percentage Increase = (New Value - Original Value) ÷ Original Value × 100
Example: A stock went from ₹150 to ₹195:
- Increase = (195 - 150) ÷ 150 × 100 = 45 ÷ 150 × 100 = 30%
Common Applications
Percentage increases are used in numerous real-world scenarios:
- Salary Hikes: Annual increments expressed as percentage increases (e.g., 10% raise)
- Price Inflation: Year-over-year price increases in goods and services
- Investment Returns: Growth in stock prices, mutual funds, and fixed deposits
- Population Growth: Annual increase in population figures
- Revenue Growth: Business performance measured as percentage increase over previous periods
- Interest Rates: Rate hikes by central banks expressed as percentage point increases
Understanding Growth Magnitudes
Quick reference for common percentage increases:
- 10% increase: Multiply by 1.10 (original + one-tenth)
- 25% increase: Multiply by 1.25 (original + one-quarter)
- 50% increase: Multiply by 1.50 (original + one-half)
- 100% increase: Multiply by 2 (doubles the original)
- 200% increase: Multiply by 3 (triples the original)
Compound Increases
When percentage increases happen repeatedly (like compound interest), the effect compounds:
Example: ₹10,000 growing at 10% annually for 3 years:
- Year 1: 10,000 × 1.10 = ₹11,000
- Year 2: 11,000 × 1.10 = ₹12,100
- Year 3: 12,100 × 1.10 = ₹13,310
Note: Three 10% increases don't equal 30%—it's actually 33.1% total due to compounding.
Percentage Points vs Percentage Increase
Be careful with this distinction:
- An interest rate going from 5% to 7% increased by 2 percentage points
- But it's a 40% increase in the rate itself ((7-5)÷5 × 100 = 40%)
Use our calculator above to quickly find values after percentage increases. For more calculations, check our percentage calculator or salary hike calculator for salary-specific calculations.