Number Increased By Percent Calculator

Percentage Increase Formula:

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

New Number:

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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 like price increases or salary raises.

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:

Old Number — The original value before increase
Rate — The percentage increase (as a positive number)
New Number — The resulting value after increase

Explanation: The formula adds the percentage (converted to decimal) to 1, then multiplies by the original number to get the increased amount.

3. Practical Applications

Details: This calculation is used in many real-world scenarios including:

Calculating price increases due to inflation
Determining salary raises
Calculating interest on savings or loans
Measuring growth rates in business metrics
Adjusting for cost of living increases

4. Using the Calculator

Tips:

Enter the original number (must be ≥ 0)
Enter the percentage increase (must be ≥ 0)
The calculator will show the new increased amount
For percentage decreases, use a negative percentage (though this calculator assumes positive increases)

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 values.

Q2: Can I use this for multiple percentage increases?
A: For sequential increases, apply the formula repeatedly using each new result as the "old number".

Q3: What if I want to decrease by a percentage?
A: Use the formula with a negative percentage, though some calculators have a separate decrease function.

Q4: How do I calculate the original number if I know the new number and percentage increase?
A: Rearrange the formula: Original = New Number / (1 + Rate/100)

Q5: Why does a 10% increase followed by a 10% decrease not return to the original value?
A: Because the 10% decrease is applied to a larger base amount, demonstrating the non-commutative nature of percentage changes.