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Calculate Percentage Increase Over Time

Percentage Increase Formula:

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

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1. What is Percentage Increase?

Percentage increase calculates how much a value grows over time when subject to compound growth at a given rate. It's commonly used in finance, economics, and business to project growth.

2. How Does the Calculator Work?

The calculator uses the compound growth formula:

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

Where:

Explanation: The formula accounts for compound growth, where each period's growth builds on the previous period's total.

3. Applications of Percentage Increase

Details: This calculation is essential for investment projections, price inflation estimates, population growth models, and business revenue forecasting.

4. Using the Calculator

Tips: Enter the initial value, the periodic growth rate (as a percentage), and the number of periods. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between simple and compound percentage increase?
A: Simple increase applies the rate to the original value each time, while compound increase applies it to the current value, leading to exponential growth.

Q2: How do I calculate annual growth from monthly data?
A: For monthly rate r, annual growth = (1 + r/100)^12 - 1. Set periods to 12 and use monthly rate.

Q3: Can this calculator handle decreasing values?
A: Yes, enter a negative rate for percentage decrease calculations.

Q4: What if my periods aren't whole numbers?
A: The calculator accepts whole numbers only. For partial periods, you'd need to adjust the rate accordingly.

Q5: How accurate are these projections?
A: They're mathematically precise for the given inputs, but real-world results may vary due to changing rates and other factors.

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