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Percentage Increase From 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 relative change, then multiplies by 100 to convert to percentage.

3. Practical Applications

Details: Percentage increase is widely used in finance (investment returns, price changes), business (sales growth), education (test score improvements), and science (experimental results comparison).

4. Using the Calculator

Tips: Enter both numbers (Number1 must be non-zero). Positive results indicate increase, negative results indicate decrease. The calculator handles decimal values.

5. Frequently Asked Questions (FAQ)

Q1: What if Number1 is zero?
A: Percentage change is undefined when dividing by zero. The calculator requires a non-zero initial value.

Q2: How is percentage decrease calculated?
A: The same formula works - a negative result indicates percentage decrease.

Q3: What's the difference between percentage points and percentage increase?
A: Percentage points measure absolute difference (e.g., 5% to 10% is 5 percentage points), while percentage increase measures relative change (100% increase in this case).

Q4: Can I use this for percentage change between multiple values?
A: This calculates change between two values. For multiple points, calculate each step separately.

Q5: How accurate is the calculation?
A: The calculator provides precise results to two decimal places when valid inputs are provided.

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