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Decrease by Percentage Calculator

Decrease Formula:

\[ \text{New} = \text{Original} \times \left(1 - \frac{\%}{100}\right) \]

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1. What is a Decrease by Percentage Calculator?

Definition: This calculator determines the new value after applying a percentage decrease to an original value.

Purpose: It helps in financial calculations, price discounts, statistical analysis, and any scenario where you need to reduce a value by a certain percentage.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{New} = \text{Original} \times \left(1 - \frac{\%}{100}\right) \]

Where:

Explanation: The percentage is converted to a decimal (divided by 100) and subtracted from 1 to get the multiplier for the original value.

3. Importance of Percentage Decrease Calculation

Details: Accurate percentage decrease calculations are essential for budgeting, financial planning, sales pricing, and data analysis.

4. Using the Calculator

Tips: Enter the original value and the percentage decrease (0-100%). Both values must be positive numbers, with percentage between 0 and 100.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between percentage decrease and subtraction?
A: Percentage decrease is multiplicative (relative to the original value), while subtraction is a fixed amount regardless of the original value.

Q2: Can I use this for price discounts?
A: Yes, this is perfect for calculating sale prices after applying a discount percentage.

Q3: What happens if I enter 100% decrease?
A: The result will be zero, as 100% decrease means completely removing the original value.

Q4: How do I calculate percentage increase instead?
A: Use our Percentage Increase Calculator or change the formula to (1 + %/100).

Q5: Why does 10% decrease followed by 10% increase not return to original?
A: Because percentage changes are relative to the current value, not the original. This is called percentage point difference.

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