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 of the original amount. It's commonly used in finance, economics, statistics, and everyday calculations.

2. How Does the Calculator Work?

The calculator uses the percentage increase formula:

Where:

• Old Value — The original amount before the increase
• Rate — The percentage increase (e.g., 5 for 5%)
• New Value — The resulting amount after the increase

Explanation: The formula takes the original value and multiplies it by (1 + percentage rate/100) to calculate the increased amount.

3. Practical Applications

Details: Percentage increase calculations are used in salary raises, price increases, investment growth, population growth, and many other real-world scenarios where quantities change over time.

4. Using the Calculator

Tips: Enter the original (old) value and the percentage increase rate. Both values must be non-negative numbers. The calculator will display the new value after the specified percentage increase.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between percentage increase and percentage points?
A: Percentage increase is relative to the original value, while percentage points are absolute differences between percentages (e.g., 5% to 7% is a 2 percentage point increase but a 40% increase relative to the original).

Q2: How do I calculate percentage decrease?
A: Use the same formula but with a negative rate, or subtract the percentage from 100% before multiplying (e.g., for 10% decrease, multiply by 0.9).

Q3: Can I use this for compound percentage increases?
A: No, this calculates a single percentage increase. For compound increases over multiple periods, you would need to apply the formula repeatedly.

Q4: Why does a 50% increase followed by a 50% decrease not return to the original value?
A: Because the decrease is applied to the already-increased amount, which is larger than the original. Percentages are relative to the current value at each step.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise for the given inputs. Rounding only occurs in the final displayed result for readability.