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GEOMETRY CALCULATOR

Percentage Change Calculator

Calculate the percentage increase or decrease between two values. Supports positive and negative numbers with accurate formulas

Calculator

The initial or starting value (cannot be zero)

The final or current value

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

Original Value: 50
New Value: 75

Calculation Steps

  1. Enter original value: 50
  2. Enter new value: 75
  3. Click 'Calculate'
  4. Formula: ((new − original) / original) × 100%
  5. Calculation: ((75 − 50) / 50) × 100% = (25 / 50) × 100% = +50%
  6. The value increased by 25 units, which is 50% of the original value

Calculated Results

Calculation not available. Showing fallback result below.

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

Original Value: 200
New Value: 150

Calculation Steps

  1. Enter original value: 200
  2. Enter new value: 150
  3. Click 'Calculate'
  4. Formula: ((new − original) / original) × 100%
  5. Calculation: ((150 − 200) / 200) × 100% = (-50 / 200) × 100% = -25%
  6. The value decreased by 50 units, which is 25% of the original value

Calculated Results

Calculation not available. Showing fallback result below.

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

Original Value: -20
New Value: -10

Calculation Steps

  1. Enter original value: -20
  2. Enter new value: -10
  3. Click 'Calculate'
  4. Formula: ((new − original) / original) × 100%
  5. Calculation: ((-10 − (-20)) / (-20)) × 100% = (10 / -20) × 100% = +50%
  6. Even though both values are negative, the value moved closer to zero, representing an increase

Calculated Results

Calculation not available. Showing fallback result below.

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

Original Value: 100
New Value: 120

Calculation Steps

  1. Enter original value: 100
  2. Enter new value: 120
  3. Click 'Calculate'
  4. Formula: ((new − original) / original) × 100%
  5. Calculation: ((120 − 100) / 100) × 100% = (20 / 100) × 100% = +20%
  6. Absolute difference: 120 − 100 = 20
  7. The price increased by $20, which is 20% of the original price

Calculated Results

Calculation not available. Showing fallback result below.

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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