1. What is this Calculator?

This calculator helps convert between fractions and percentages, and can solve for any variable in the relationship a/b = p%. It's useful for quick mathematical conversions in various fields.

2. How Does the Calculator Work?

The calculator uses these fundamental formulas:

Where:

• \( a \) — Numerator (unitless)
• \( b \) — Denominator (unitless)
• \( p \) — Percentage (%)

Explanation: The calculator can perform four types of calculations:

1. Convert a fraction (a/b) to percentage
2. Convert a percentage to decimal
3. Find the numerator (a) when you know b and p
4. Find the denominator (b) when you know a and p

3. Practical Applications

Details: This calculator is useful in finance (interest rates), statistics (proportions), cooking (recipe adjustments), and science (concentration calculations).

4. Using the Calculator

Tips:

• To convert fraction to percentage: enter a and b
• To convert percentage to decimal: enter p
• To find missing numerator: enter b and p
• To find missing denominator: enter a and p

The calculator automatically detects which calculations to perform based on the inputs provided.

5. Frequently Asked Questions (FAQ)

Q1: Can I use decimal numbers?
A: Yes, the calculator accepts decimal numbers for all inputs.

Q2: What if I get an error message?
A: Make sure you're not dividing by zero (denominator must be > 0) and that you've entered valid numbers.

Q3: How precise are the results?
A: Results are rounded to 2 decimal places for percentages and 4 decimal places for decimals.

Q4: Can I calculate percentage change?
A: This calculator doesn't handle percentage change directly, but you could use it by calculating (new-old)/old × 100%.

Q5: What's the difference between percentage and percentage points?
A: Percentage points refer to the absolute difference between percentages (e.g., 5% to 7% is a 2 percentage point increase).