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Ratio Calculator Percentage

Percentage Formula:

\[ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 \]

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1. What is a Ratio to Percentage Calculator?

Definition: This calculator converts a ratio (part to whole) into its equivalent percentage value.

Purpose: It helps in understanding proportions by converting them to the more intuitive percentage format.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 \]

Where:

Explanation: The part is divided by the whole to get the ratio, then multiplied by 100 to convert to percentage.

3. Importance of Ratio to Percentage Conversion

Details: Percentages are more intuitive for most people to understand than ratios, making them better for communication and comparison.

4. Using the Calculator

Tips: Enter the part and whole values (both must be positive numbers, and whole cannot be zero). The part can be zero.

5. Frequently Asked Questions (FAQ)

Q1: What if my part is larger than the whole?
A: The calculator will still work, giving a percentage >100%, which indicates the part exceeds the reference whole.

Q2: Can I calculate percentage decrease?
A: Yes, use the difference between old and new values as the part, and the old value as the whole.

Q3: What's the difference between ratio and percentage?
A: A ratio compares two quantities directly, while a percentage expresses the ratio as a fraction of 100.

Q4: How precise are the results?
A: Results are shown with 2 decimal places for precision in most applications.

Q5: Can I use this for financial calculations?
A: Yes, this is commonly used for calculating profit percentages, interest rates, and other financial ratios.

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