How to Calculate Percentage Increase Step-by-Step
The Formula
The universal formula for percentage increase is:
Percentage Increase = ((New Value - Old Value) / Old Value) × 100
It consists of three simple steps:
- Subtract: (New - Old) to find the difference.
- Divide: Divide that difference by the Old Value.
- Multiply: Times by 100 to get a percentage.
Step-by-Step Example
Let's say you bought a house for $300,000 and it is now worth $345,000. What is the percentage increase?
Step 1: Find the Difference
Subtract the original price from the new price.
$345,000 - $300,000 = $45,000
(The property value increased by $45,000)
Step 2: Divide by the Original
Divide the increase ($45,000) by the original price ($300,000).
$45,000 / $300,000 = 0.15
Step 3: Convert to Percentage
Multiply by 100.
0.15 * 100 = 15%
Result: Your home value increased by 15%.
Want to calculate this instantly? Use our Property Value Increase Calculator.
How to Do It in Excel / Google Sheets
If you have data in a spreadsheet, you don't need a calculator.
- Cell A1:
(Old Value)300000 - Cell B1:
(New Value)345000
In Cell C1, type this formula:
=(B1-A1)/A1
Then click the "%" button in the toolbar to format it as a percentage. It will automatically show 15%.
Common Scenarios
1. Price Hikes
If milk goes from $3.00 to $4.50.
(4.50 - 3.00) / 3.00 = 0.50 -> 50% increase.
(Check Price Increases here)
2. Rent Increases
If rent goes from $1200 to $1260.
(1260 - 1200) / 1200 = 0.05 -> 5% increase.
(Check Rent Increases here)
3. Population Growth
City grows from 10,000 to 12,000 people.
(12000 - 10000) / 10000 = 0.20 -> 20% growth.
(Check Population stats here)
What If It Decreases?
If the new number is smaller than the old number, you calculate it the exact same way. The result will just be negative, which indicates a percentage decrease.
- Example: $100 to $80.
-> -20%(80 - 100) / 100 = -0.20
For specifically tracking drops, use our Percentage Decrease Calculator.
Conclusion
You don't need to be a mathematician to master percentage growth. Just remember: (Difference / Original) × 100.
For complex numbers or quick checks, bookmark our main Percentage Increase Calculator to get precise answers in seconds.
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