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Percent Change Calculator

Calculate the exact percentage change from an original value to a new value with automatic increase/decrease detection and full step-by-step math.

Enter Initial & Final Values

Calculate the percentage growth or reduction over time.

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#
Percent Change
+50.00 %
▲ Net Increase
Step-by-Step Breakdown Chronological
  • 1
    Absolute Delta (Final - Initial):
    75 - 50 = 25
  • 2
    Divide by Original & Multiply by 100:
    (25 / 50) × 100 = +50.00%

How to Calculate Percent Change

Percent change (often called percentage change or rate of change) measures the degree of change between an initial starting value and a final ending value as a percentage. It is widely used in economics, finance, business KPIs, science, and everyday math.

Percent Change Formula
Percent Change = [(Final Value - Initial Value) / |Initial Value|] × 100%
If the result is positive, it represents a percentage increase. If the result is negative, it represents a percentage decrease.

Step-by-Step Calculation Steps

  1. Find the net change: Subtract the initial starting value from the final ending value (Final - Initial).
  2. Divide by the starting point: Take the net change and divide it by the absolute value of the original number (Net Change / Initial).
  3. Convert to a percentage: Multiply the decimal result by 100 and append the % symbol.

Real-World Example: Business Revenue Growth

Suppose an online store earned $50,000 in revenue last quarter (Initial Value) and $75,000 this quarter (Final Value). What is the percent change?

  • Net Change: $75,000 - $50,000 = +$25,000
  • Ratio: 25,000 / 50,000 = 0.50
  • Percentage: 0.50 × 100 = +50% Increase

Frequently Asked Questions

Mathematically, you cannot divide by zero. Moving from 0 to 50 is an infinite percentage change because any percentage of zero is still zero. In financial reports, this is typically designated as "N/A" or "New".
Percent change has a fixed chronological starting point and can be positive or negative. In contrast, percentage difference compares two values symmetrically by dividing by their average, producing an absolute magnitude without direction.