Percentage Change Calculator
Calculate the percentage increase or decrease between two values. Supports positive and negative numbers with accurate formulas
Calculator
How to Calculate
- 1Enter the original value (the starting or initial value)
- 2Enter the new value (the final or current value)
- 3Both values can be positive or negative numbers
- 4The original value cannot be zero (division by zero is undefined)
- 5Click 'Calculate' to get the percentage change
- 6The result shows the percentage change with a sign (+ for increase, - for decrease)
- 7The direction label indicates whether it's an increase or decrease
- 8The absolute difference shows the numerical change between the values
- 9Review the formula to understand how the calculation was performed
Calculation Examples
Example 1: Increase from 50 to 75
Input Values
Calculation Steps
- Enter original value: 50
- Enter new value: 75
- Click 'Calculate'
- Formula: ((new − original) / original) × 100%
- Calculation: ((75 − 50) / 50) × 100% = (25 / 50) × 100% = +50%
- The value increased by 25 units, which is 50% of the original value
Calculated Results
Expected Result
The value increased from 50 to 75, representing a 50% increase. This means the new value is 150% of the original (1.5 times larger). Use this to track growth, price increases, or performance improvements.
Example 2: Decrease from 200 to 150
Input Values
Calculation Steps
- Enter original value: 200
- Enter new value: 150
- Click 'Calculate'
- Formula: ((new − original) / original) × 100%
- Calculation: ((150 − 200) / 200) × 100% = (-50 / 200) × 100% = -25%
- The value decreased by 50 units, which is 25% of the original value
Calculated Results
Expected Result
The value decreased from 200 to 150, representing a 25% decrease. This means the new value is 75% of the original. Use this to track declines, discounts, or reductions in metrics.
Example 3: Increase from -20 to -10
Input Values
Calculation Steps
- Enter original value: -20
- Enter new value: -10
- Click 'Calculate'
- Formula: ((new − original) / original) × 100%
- Calculation: ((-10 − (-20)) / (-20)) × 100% = (10 / -20) × 100% = +50%
- Even though both values are negative, the value moved closer to zero, representing an increase
Calculated Results
Expected Result
The value increased from -20 to -10, representing a 50% increase. When working with negative numbers, a positive percentage change means the value became less negative (moved closer to zero or became positive). This is useful for tracking improvements in losses or deficits.
Example 4: Price increase from $100 to $120
Input Values
Calculation Steps
- Enter original value: 100
- Enter new value: 120
- Click 'Calculate'
- Formula: ((new − original) / original) × 100%
- Calculation: ((120 − 100) / 100) × 100% = (20 / 100) × 100% = +20%
- Absolute difference: 120 − 100 = 20
- The price increased by $20, which is 20% of the original price
Calculated Results
Expected Result
The price increased from $100 to $120, representing a 20% increase or $20 more. This is a common use case for tracking price changes, inflation, or cost increases. The absolute difference shows the actual dollar amount change.
Frequently Asked Questions
Find answers to common questions about using this calculator. If you have additional questions, feel free to explore the examples above or contact our support team.
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Learn More
How to Calculate Percentage of a Number
Learn how to calculate what percentage a number represents of another number, with step-by-step examples and common use cases.
Percentage Increase vs Percentage Change
Understand the difference between percentage increase and percentage change, when to use each, and how to calculate them correctly.