Percentage Change Formula:
From: | To: |
Definition: This calculator measures the relative change between an old value and a new value expressed as a percentage.
Purpose: It helps analyze growth rates, price changes, performance improvements, and other comparative metrics.
The calculator uses the formula:
Where:
Explanation: The difference between new and old values is divided by the old value to get the relative change, then multiplied by 100 to convert to percentage.
Positive % — Increase from old to new value
Negative % — Decrease from old to new value
0% — No change between values
Tips: Enter both old and new values. The old value cannot be zero (division by zero is undefined).
Q1: What's the difference between percentage change and percentage difference?
A: Percentage change compares two values over time (old vs new), while percentage difference compares two simultaneous values.
Q2: How do I interpret a negative percentage change?
A: A negative result indicates a decrease from the old value to the new value.
Q3: Why can't the old value be zero?
A: Division by zero is mathematically undefined, making percentage change calculations impossible.
Q4: What are common applications of percentage change?
A: Financial analysis (stock prices), sales performance, population growth, scientific measurements, and more.
Q5: How is percentage change different from absolute change?
A: Absolute change shows the numerical difference (New - Old), while percentage change shows the relative difference as a percentage.