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Increase A Number By Percent

Percentage Increase Formula:

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

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1. What is Percentage Increase?

Percentage increase is a mathematical concept that measures how much a quantity has grown relative to its original value, expressed as a percentage. It's commonly used in finance, statistics, and everyday calculations.

2. How Does the Calculator Work?

The calculator uses the percentage increase formula:

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

Where:

Explanation: The formula works by converting the percentage to a decimal (dividing by 100), adding 1 to represent the original value plus the increase, then multiplying by the original number.

3. Practical Applications

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

4. Using the Calculator

Tips: Enter the original number and the percentage increase you want to apply. Both values can be positive decimals. The calculator will show the increased value.

5. Frequently Asked Questions (FAQ)

Q1: How is this different from adding a percentage?
A: This increases the original number by a percentage of itself, rather than simply adding a percentage value.

Q2: Can I use this for percentage decreases?
A: Yes, by entering a negative percentage value, though there's also a separate percentage decrease calculator.

Q3: What if I want to calculate the percentage increase between two numbers?
A: That requires a different formula: ((New - Old)/Old) × 100.

Q4: How precise are the calculations?
A: Results are rounded to 2 decimal places for readability while maintaining accuracy.

Q5: Can I calculate compound increases with this?
A: No, this calculates a single increase. Compound increases require multiple calculations or a dedicated compound growth calculator.

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