Percent Increase Decrease Calculator

Percentage Change Formula:

\[ \text{Change} = \left( \frac{\text{New} - \text{Old}}{\text{Old}} \right) \times 100 \]

Percentage Change:

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1. What is a Percent Increase/Decrease Calculator?

Definition: This calculator determines the percentage change between two values, showing either an increase or decrease.

Purpose: It helps analyze growth rates, price changes, performance improvements, and other comparative measurements.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Change} = \left( \frac{\text{New} - \text{Old}}{\text{Old}} \right) \times 100 \]

Where:

New — The current or new value
Old — The original or old value

Explanation: The difference between new and old values is divided by the old value, then multiplied by 100 to convert to a percentage.

3. Interpreting the Results

Positive Result: Indicates a percentage increase from old to new value.

Negative Result: Indicates a percentage decrease from old to new value.

4. Using the Calculator

Tips: Enter both new and old values. The old value cannot be zero (division by zero is undefined).

5. Frequently Asked Questions (FAQ)

Q1: What does a 100% increase mean?
A: It means the new value is double the old value (100% increase = 2× the original).

Q2: Can percentage change be more than 100%?
A: Yes, it indicates the new value is more than double the old value.

Q3: What does a negative percentage mean?
A: It indicates a decrease from the old value to the new value.

Q4: Why can't the old value be zero?
A: Division by zero is mathematically undefined, making percentage change calculation impossible.

Q5: How is this different from percentage difference?
A: Percentage change compares a new value to an old reference value, while percentage difference compares any two values without reference.