1. What is Percentage Calculation?

Percentage calculation determines what portion a part is of a whole, expressed as a value out of 100. It's a fundamental mathematical concept used in various fields from finance to statistics.

2. How Does the Calculator Work?

The calculator uses the percentage formula:

Where:

• \( \text{part} \) — The portion of the whole you're measuring
• \( \text{total} \) — The complete quantity or reference value
• The result is multiplied by 100 to convert to percentage

Explanation: The formula shows the proportional relationship between a part and its whole, scaled to a base of 100 for easier interpretation.

3. Importance of Percentage Calculation

Details: Percentages are essential for comparing proportions, analyzing data, calculating discounts, understanding statistics, and making informed decisions in business and science.

4. Using the Calculator

Tips: Enter both part and total values as positive numbers. The total must be greater than zero. The calculator will automatically compute the percentage.

5. Frequently Asked Questions (FAQ)

Q1: What if my part is larger than the total?
A: The calculator will still work, showing a percentage greater than 100%, indicating the part exceeds the reference total.

Q2: How do I calculate percentage increase or decrease?
A: Use (new value - old value)/old value × 100. Positive result means increase, negative means decrease.

Q3: What's the difference between percentage and percentile?
A: Percentage is a proportion out of 100, while percentile indicates a value below which a percentage of data falls.

Q4: Can percentages be more than 100?
A: Yes, when the part exceeds the total. For example, 150 out of 100 is 150%.

Q5: How precise are the results?
A: Results are rounded to 2 decimal places for readability while maintaining reasonable precision.