Percentage Increase Calculator
Calculate the percentage increase from an original value to a new value. Enter both numbers to get the result instantly.
Editorial and Accuracy Standards
What Is Percentage Increase?
Percentage increase measures how much a value has grown compared with its original value.
The basic calculation is: (New Value - Original Value) / Original Value × 100.
For example, if a value increases from 50 to 60:(60 - 50) / 50 × 100 = 20%
Therefore, the percentage increase is 20%.
Percentage Increase Formula
Percentage Increase = ((New Value - Original Value) / Original Value) × 100
- Original Value = starting value
- New Value = value after the increase
- Absolute Increase = New Value - Original Value
- Percentage Increase = absolute increase expressed as a percentage of the original value
How to Calculate Percentage Increase
Step 1: Find the increase
New Value - Original Value
Step 2: Divide by the original value
Increase / Original Value
Step 3: Convert to a percentage
Result × 100
Example:
Original Value = 50
New Value = 60
Increase = 60 - 50 = 10
10 / 50 = 0.20
0.20 × 100 = 20%
Percentage Increase = 20%
Common Percentage Increase Examples
| Original Value | New Value | Percentage Increase |
|---|---|---|
| 50 | 60 | 20% |
| 100 | 120 | 20% |
| 200 | 250 | 25% |
| 500 | 600 | 20% |
| 1,000 | 1,250 | 25% |
| 50,000 | 55,000 | 10% |
Salary Increase Example
Original salary = ₹50,000
New salary = ₹55,000
Increase = ₹5,000
Percentage increase:₹5,000 / ₹50,000 × 100 = 10%
Salary increase = 10%
Price Increase Example
Original price = ₹250
New price = ₹300
Increase = ₹50
Percentage increase:₹50 / ₹250 × 100 = 20%
Price increased by 20%.
Percentage Increase vs Percentage Decrease
Percentage increase describes growth relative to the original value. Percentage decrease describes a reduction relative to the original value.
For example, going from 100 to 120 is a 20% increase. Going from 100 to 80 is a 20% decrease.
Percentage Decrease CalculatorPercentage Increase vs Percentage Difference
Percentage increase treats the original value as the baseline. Percentage difference is a different comparison method that uses the average of the two numbers as the baseline, and does not simply mean the same thing as percentage increase.
Percentage Difference CalculatorCan Percentage Increase Be Negative?
If the new value is lower than the original value, the standard formula produces a negative percentage. For example, if the original is 100 and the new is 80: (80 - 100) / 100 × 100 = -20%. In normal usage, this is usually described as a 20% decrease.
Can You Calculate Percentage Increase From Zero?
The standard percentage increase formula requires division by the original value. When the Original Value = 0, the standard formula is undefined because it requires division by zero. Our calculator handles this safely and displays a clear explanation.
Percentage Increase in Excel
To calculate percentage increase in Microsoft Excel, use the formula:
=(B2-A2)/A2- A2 = original value
- B2 = new value
Format the result cell as Percentage to see the correct output.
Variables Explained
| Variable | Meaning |
|---|---|
| Original Value | Starting value before the increase |
| New Value | Value after the increase |
| Absolute Increase | New Value minus Original Value |
| Percentage Increase | Increase expressed as a percentage of the Original Value |
Common Mistakes & Pitfalls
✗Dividing by the new value instead of the original value
Dividing by the new value calculates a margin rather than a percentage growth rate from the starting point.
✗Forgetting to multiply by 100
Without multiplying by 100, you are left with a decimal fraction rather than a percentage.
✗Confusing percentage increase with percentage difference
Percentage difference uses the average of the two numbers as the denominator. They are not the same calculation.
✗Treating a negative result as an ordinary increase
A negative percentage increase means the value actually decreased.
✗Attempting to calculate a standard percentage increase from zero
Division by zero is mathematically undefined. You cannot calculate standard percentage growth from absolute zero.
Frequently Asked Questions
What is percentage increase?↓
Percentage increase measures how much a value has grown compared to its original starting value, expressed as a fraction of 100.
How do I calculate percentage increase?↓
Find the absolute difference by subtracting the original value from the new value. Divide this difference by the original value, then multiply by 100.
What is the percentage increase formula?↓
The percentage increase formula is: ((New Value - Original Value) / Original Value) × 100.
How do I calculate percentage increase between two numbers?↓
Use the formula by treating the first number as the original value and the second number as the new value.
What is the percentage increase from 50 to 60?↓
The percentage increase from 50 to 60 is 20%. The calculation is (60 - 50) / 50 × 100 = 20%.
What is the difference between percentage increase and percentage difference?↓
Percentage increase treats the original value as the absolute baseline. Percentage difference is used when neither value is clearly the 'original' and is based on their average.
Can percentage increase be negative?↓
Yes, if the new value is lower than the original value, the standard formula produces a negative percentage, which is commonly referred to as a percentage decrease.
Can I calculate percentage increase when the original value is zero?↓
No, the standard percentage increase formula requires division by the original value. When the original value is zero, division by zero is undefined.
How do I calculate percentage increase in Excel?↓
In Excel, use the formula =(B2-A2)/A2 where A2 is your original value and B2 is your new value, then format the result cell as a Percentage.
How is percentage increase used for salary hikes?↓
A salary hike is a common use of percentage increase. Subtract your old salary from your new salary, divide by the old salary, and multiply by 100 to find the hike percentage.
What is the difference between percentage increase and percentage decrease?↓
Percentage increase describes upward growth relative to the original value, while percentage decrease describes a downward reduction.
More Percentage Calculators
What is X% of Y?
Calculate a specific percentage of a number.
Percentage Difference
Find the percentage difference between two values.
Percentage Decrease
Calculate the percentage decrease between two numbers.
Profit Margin
Calculate profit margin based on cost and revenue.
Salary Hike
Calculate new salary based on a percentage hike.
Markup Calculator
Calculate markup percentage from cost and selling price.
Calculation Methodology
How it works
The calculator takes the Original and New values, computes the absolute difference, divides by the Original value, and multiplies by 100.
Precision & Rounding
Calculations use IEEE 754 double-precision floating-point format to prevent rounding errors on complex decimals.
Assumptions
- Original value is non-zero.
- New value is greater than original value for a positive increase.
- Calculations assume standard base-10 mathematics.
Limitations & Edge Cases
- Cannot calculate if original value is zero.
- Extremely large inputs may hit JavaScript MAX_SAFE_INTEGER limits.
Glossary of Terms
Original Value
The baseline number from which growth is measured.
Absolute Difference
The raw numerical gap between the new and original values without considering direction.
References & Sources
- Relative change and difference- Wikipedia