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Calculate Year On Percentage Increase

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 analyze growth rates, price changes, performance improvements, and year-over-year comparisons.

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 relative change between two values by comparing the difference to the original value.

3. Importance of Percentage Increase Calculation

Details: Percentage increase is fundamental in business (revenue growth), finance (investment returns), economics (inflation rates), and scientific research (performance improvements). It provides a standardized way to compare growth across different scales.

4. Using the Calculator

Tips: Enter both new and old values as positive numbers. The old value must be greater than zero (division by zero is undefined). Values can be integers or decimals.

5. Frequently Asked Questions (FAQ)

Q1: What if my old value is zero?
A: The calculation is undefined when old value is zero, as you cannot divide by zero. In such cases, consider absolute difference instead.

Q2: How is percentage decrease calculated?
A: The same formula works - it will return a negative percentage when new value is less than old value.

Q3: What's the difference between percentage points and percentage increase?
A: Percentage points measure absolute difference between two percentages, while percentage increase measures relative change from an original value.

Q4: Can I use this for year-over-year comparisons?
A: Yes, this is ideal for YoY comparisons by using last year's value as old value and current year's as new value.

Q5: How should I interpret a 100% increase?
A: A 100% increase means the value has doubled (become 2 times the original). 200% means tripled, etc.

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