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Increase Number By Percentage Calculator

Percentage Increase Formula:

\[ \text{New Number} = \text{Old Number} \times \left(1 + \frac{\text{Percentage}}{100}\right) \]

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1. What is Percentage Increase?

Percentage increase measures how much a quantity grows relative to its original value, expressed as a percentage. It's commonly used in finance, economics, statistics, and everyday calculations.

2. How Does the Calculator Work?

The calculator uses the percentage increase formula:

\[ \text{New Number} = \text{Old Number} \times \left(1 + \frac{\text{Percentage}}{100}\right) \]

Where:

Explanation: The formula converts the percentage to a decimal (by dividing by 100), adds 1 to represent the original value plus the increase, then multiplies by the original number.

3. Practical Applications

Details: Percentage increase calculations are used in salary raises, price increases, investment growth, statistical analysis, and many business applications where growth needs to be quantified.

4. Using the Calculator

Tips: Enter the original number and the percentage increase you want to apply. Both values must be valid numbers (percentage must be non-negative).

5. Frequently Asked Questions (FAQ)

Q1: How is this different from percentage change?
A: Percentage increase only shows growth from original value, while percentage change can show either increase or decrease.

Q2: Can I use this for decreasing values?
A: No, this calculator is specifically for increases. For decreases, you would subtract the percentage instead of adding it.

Q3: What if I want to apply multiple percentage increases?
A: You would need to apply them sequentially, using the result of each calculation as the "old number" for the next increase.

Q4: How do I reverse a percentage increase?
A: To find the original number after an increase, divide the new number by (1 + percentage/100).

Q5: Why does 100% increase double the number?
A: Because 100% of the original number equals the original number itself, so adding 100% means adding the same amount again, resulting in double.

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