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Calculate Increase By Percentage

Percentage Increase Formula:

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

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1. What is Percentage Increase?

Percentage increase measures how much a value has grown relative to its original amount, expressed as a percentage. It's commonly used in finance, economics, and general mathematics to track growth or expansion.

2. How Does the Calculator Work?

The calculator uses the percentage increase formula:

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

Where:

Explanation: The formula calculates the increased amount by multiplying the original value by 1 plus the percentage rate (converted from percentage to decimal).

3. Importance of Percentage Increase Calculation

Details: Calculating percentage increases is essential for financial planning, price adjustments, salary raises, investment growth analysis, and many business applications where growth measurement is needed.

4. Using the Calculator

Tips: Enter the original value and the percentage increase you want to apply. Both values must be non-negative numbers. The calculator will show the new value after the increase.

5. Frequently Asked Questions (FAQ)

Q1: How is percentage increase different from percentage difference?
A: Percentage increase measures growth from an original value, while percentage difference compares two values without directionality.

Q2: Can I use this for percentage decreases?
A: Yes, by entering a negative percentage, though the calculator is designed for increases (values ≥ 0).

Q3: How do I calculate percentage increase between two values?
A: Use ((New Value - Old Value) / Old Value) × 100. This calculator does the reverse - applies a known percentage increase.

Q4: Why multiply by (1 + rate/100)?
A: The "1" preserves the original amount while the rate/100 adds the percentage increase to it.

Q5: What's the maximum value I can calculate?
A: The calculator can handle very large numbers, limited only by PHP's float precision.

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