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Number Percentage Change Calculator

Percentage Change Formula:

\[ \%\ Change = \frac{New - Old}{Old} \times 100 \]

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1. What is a Number Percentage Change Calculator?

Definition: This calculator determines the percentage difference between two numerical values.

Purpose: It helps analyze growth, decline, or change between two values in various fields like finance, statistics, and business.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \%\ Change = \frac{New - Old}{Old} \times 100 \]

Where:

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

3. Importance of Percentage Change Calculation

Details: Percentage change provides a standardized way to compare changes between values of different magnitudes.

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

Q2: What does a positive percentage mean?
A: A positive percentage indicates an increase 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 calculation impossible.

Q4: How is this different from percentage difference?
A: Percentage change compares a new value to an old value, while percentage difference compares any two values without directionality.

Q5: Can I use this for financial calculations?
A: Yes, this is commonly used to calculate investment returns, price changes, and other financial metrics.

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