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Percentage Increase Calc

Percentage Increase Formula:

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

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1. What is Percentage Increase?

Percentage increase measures how much a quantity has grown relative to its original value, expressed as a percentage. It's commonly used to track growth rates, price changes, performance improvements, and other comparative measurements.

2. How Does the Calculator Work?

The calculator uses the percentage increase formula:

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

Where:

Explanation: The formula calculates the difference between new and old values, divides by the original value to get relative change, then converts to percentage by multiplying by 100.

3. Importance of Percentage Increase Calculation

Details: Percentage increase is fundamental in business (sales growth), finance (investment returns), economics (inflation rates), science (experimental results), and everyday life (price comparisons).

4. Using the Calculator

Tips: Enter both values as positive numbers. The old value cannot be zero (division by zero is undefined). Results show increase as percentage (positive for growth, negative for decrease).

5. Frequently Asked Questions (FAQ)

Q1: What if my result is negative?
A: A negative result indicates a percentage decrease rather than increase.

Q2: How is this different from percentage points?
A: Percentage increase is relative to the original value, while percentage points measure absolute difference between two percentages.

Q3: Can I use this for percentage change between any two numbers?
A: Yes, the formula works for any numerical values where the denominator isn't zero.

Q4: Why is the old value in the denominator?
A: This makes the increase relative to the starting point, allowing meaningful comparisons between different scales.

Q5: How do I interpret a 100% increase?
A: A 100% increase means the value has doubled (become twice as large as the original).

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