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Percentage Change Calculator

Calculate the percentage change between two values. Determine whether it's an increase or decrease and get detailed step-by-step calculations.

Calculate Percentage Change

Absolute Change

—

Percentage Change

—

Formula

Percentage Change = ((New Value - Original Value) / Original Value) × 100

Where:

  • Positive result = Increase
  • Negative result = Decrease
  • Original Value ≠ 0

Examples

Increase Example:

From 100 to 125: ((125-100)/100) × 100 = 25% increase

Decrease Example:

From 100 to 75: ((75-100)/100) × 100 = 25% decrease

Common Percentage Changes

100 → 110
10% increase
100 → 90
10% decrease
50 → 75
50% increase
200 → 150
25% decrease
80 → 120
50% increase
300 → 225
25% decrease

Real-World Applications

Business & Finance

Track revenue growth, stock price changes, profit margins, and sales performance.

Academic Performance

Calculate grade improvements, test score changes, and academic progress.

Health & Fitness

Monitor weight changes, body fat percentage, and fitness improvements.

Economics & Statistics

Analyze inflation rates, population changes, and economic indicators.

Tips & Common Mistakes

Order Matters: Always use the original (starting) value as the denominator, not the new value.

Zero Original Value: Cannot calculate percentage change when the original value is zero.

Interpretation: A 100% increase means the value doubled, while a 50% decrease means the value halved.

Maximum Decrease: The maximum possible percentage decrease is 100% (when the new value becomes zero).

Frequently Asked Questions

To calculate percentage change: (1) Find the difference between new and original values, (2) Divide by the original value, (3) Multiply by 100. Formula: ((New Value - Original Value) / Original Value) × 100.

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