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Percentage Increase Between Two Numbers

Percentage Increase Formula:

\[ \text{Percentage Increase} = \left( \frac{\text{Number2} - \text{Number1}}{\text{Number1}} \right) \times 100 \]

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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 metrics.

2. How Does the Calculator Work?

The calculator uses the percentage increase formula:

\[ \text{Percentage Increase} = \left( \frac{\text{Number2} - \text{Number1}}{\text{Number1}} \right) \times 100 \]

Where:

Explanation: The formula calculates the difference between the two numbers, divides by the original number to get the relative change, then converts to a percentage by multiplying by 100.

3. Practical Applications

Details: Percentage increase is used in finance (investment returns), retail (price changes), business (revenue growth), education (test score improvements), and scientific research (experimental results).

4. Using the Calculator

Tips: Enter both numbers (must be positive). The calculator will show how much the second number has increased compared to the first, expressed as a percentage.

5. Frequently Asked Questions (FAQ)

Q1: What if Number1 is zero?
A: The calculation is undefined when dividing by zero. Please enter positive values for both numbers.

Q2: What does a negative result mean?
A: A negative percentage indicates a decrease rather than an increase between the two numbers.

Q3: How is this different from percentage difference?
A: Percentage increase compares to the original value only, while percentage difference compares to the average of both values.

Q4: Can I use this for percentage decrease?
A: Yes, the same formula works - you'll just get a negative result indicating a decrease.

Q5: How precise are the results?
A: Results are rounded to 2 decimal places for readability while maintaining reasonable precision.

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