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Calculate Number Increase By Percentage

Percentage Increase Formula:

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

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1. What is Percentage Increase?

Percentage increase calculates how much a number grows when a certain percentage is added to it. This is commonly used in finance, economics, statistics, and everyday calculations.

2. How Does the Calculator Work?

The calculator uses the percentage increase formula:

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

Where:

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

3. Practical Applications

Details: This calculation is used for price increases, salary raises, interest calculations, population growth estimates, and any scenario where a value grows by a certain percentage.

4. Using the Calculator

Tips: Enter the original number and the percentage increase you want to apply. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: How is this different from percentage difference?
A: Percentage increase calculates growth from an original value, while percentage difference compares two distinct values.

Q2: Can I use this for percentage decrease?
A: Yes, by entering a negative percentage (though some calculators have a separate decrease function).

Q3: What if I know the new number and want to find the percentage increase?
A: You would use the formula: ((New Number - Old Number) / Old Number) × 100

Q4: Does the order of multiplication matter?
A: Mathematically no, but conceptually it's clearer to multiply the original by (1 + rate) to show it's an increase.

Q5: How precise are the calculations?
A: The calculator shows results rounded to 2 decimal places, but uses full precision in calculations.

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