Percentage Change Calculator
Calculate the percentage change between two values with step-by-step solutions
Calculate Percentage Change Between Two Values
Enter the original value and new value to find the percentage change (increase or decrease)
The starting/initial value
The ending/final value
Quick Examples
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%
Percentage Change
%
Relative change
Absolute Change
Numerical difference
Multiplier
New ÷ Original
Calculation Breakdown
Common Percentage Changes Reference
| Change | Meaning | Multiplier |
|---|---|---|
| +200% | Tripled | 3x |
| +100% | Doubled | 2x |
| +50% | Increased by half | 1.5x |
| +25% | Increased by quarter | 1.25x |
| 0% | No change | 1x |
| -25% | Decreased by quarter | 0.75x |
| -50% | Halved | 0.5x |
| -100% | Reduced to zero | 0x |
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About Percentage Change Calculator
What is a Percentage Change Calculator?
A percentage change calculator determines how much a value has changed relative to its original amount, expressed as a percentage. This is essential for understanding growth, decline, inflation, price changes, and many other real-world scenarios.
How to Calculate Percentage Change
The Formula
Percentage Change = ((New Value - Original Value) / |Original Value|) × 100
- If the result is positive, it's a percentage increase
- If the result is negative, it's a percentage decrease
Step-by-Step Process
- Find the difference: Subtract the original value from the new value
- Divide by original: Divide the difference by the absolute value of the original
- Convert to percentage: Multiply by 100
Example Calculation
If a stock price changed from $80 to $100:
- Difference = $100 - $80 = $20
- Divide: $20 ÷ $80 = 0.25
- Percentage: 0.25 × 100 = 25% increase
Common Applications
Financial
- Investment returns: Calculate portfolio growth or losses
- Price changes: Track inflation and deflation
- Sales performance: Measure revenue changes
- Budget analysis: Compare actual vs. planned spending
Business
- Revenue growth: Measure year-over-year changes
- Customer metrics: Track user acquisition or churn
- Inventory changes: Monitor stock level fluctuations
- Performance reviews: Evaluate KPI improvements
Personal
- Weight changes: Track fitness progress
- Savings growth: Monitor financial goals
- Energy usage: Compare utility bills
Understanding the Results
| Change Type | Meaning |
|---|---|
| Positive % | Value increased |
| Negative % | Value decreased |
| 0% | No change |
| 100% | Value doubled |
| -50% | Value halved |
| -100% | Value became zero |
Frequently Asked Questions
What's the difference between percentage change and percentage difference?
Percentage change compares a new value to an original value (directional), while percentage difference compares two values symmetrically without regard to which came first.
Can percentage increase exceed 100%?
Yes! A 200% increase means the value tripled. A 300% increase means it quadrupled. There's no upper limit to percentage increase.
Can percentage decrease exceed 100%?
No, percentage decrease is capped at 100% (when the new value reaches zero). Values cannot decrease more than 100% unless they go negative.
How do I reverse calculate the original value?
Use: Original Value = New Value / (1 + Percentage/100)
Tip: This calculator automatically determines whether the change is an increase or decrease and displays the result with the appropriate sign and color coding.