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Percentage

🧮 12-in-1 Percentage Calculator

Calculate, Compare, Margin, Fractions & More

1. What is X% of Y?

2. X is What % of Y?

3. Percentage Increase

4. Percentage Decrease

5. Percentage Difference

6. Add Percentage (Tax)

7. Subtract Percentage

8. Reverse (Find Original)

9. Fraction to Percentage

10. Percent of Percent

11. Orig Price (Before Sale)

12. Profit Margin

📚 Comprehensive Formula Guide

Below are the mathematical formulas used in our 12 calculators. Understanding these will help you master percentage math manually.

1. Fraction to Percentage

Percentage = (Numerator ÷ Denominator) × 100
Example: 3/4 = (3 ÷ 4) × 100 = 0.75 × 100 = 75%

2. Percentage of a Percentage

Result = (Percent1 ÷ 100) × (Percent2 ÷ 100) × 100
Example: 20% of 50% = 0.20 × 0.50 = 0.10 = 10%

3. Find Original Price (Before Discount)

Original = Sale Price ÷ (1 - (Discount% ÷ 100))
Example: Paid $80 after 20% off.
$80 ÷ (1 - 0.20) = $80 ÷ 0.80 = $100

4. Profit Margin

Margin % = ((Revenue - Cost) ÷ Revenue) × 100
Example: Cost $100, Sold for $150.
(50 ÷ 150) × 100 = 33.33% Margin

❓ Frequently Asked Questions (7)

1. How do I calculate a percentage of a number?
Convert the percentage to a decimal (divide by 100) and multiply it by the number. Example: 25% of 200 = 0.25 × 200 = 50.
2. What is the difference between Margin and Markup?
Markup is based on Cost (Cost + Markup = Price). Margin is based on Revenue (How much of the sale price is profit). A 50% Markup equals a 33.3% Margin.
3. How do I find the original price after a discount?
Use Calculator #11. Divide the price you paid by the decimal form of what you paid. If you got 20% off, you paid 80% (0.80). So, Price / 0.80 = Original.
4. Can a percentage increase be higher than 100%?
Yes! If a value doubles, it is a 100% increase. If it triples, it is a 200% increase. There is no upper limit to percentage increase.
5. What is a percentage point vs percentage?
A percentage point is the simple arithmetic difference. If a rate goes from 4% to 6%, it rose by 2 percentage points, but it is a 50% percentage increase.
6. How do I turn a fraction into a percentage?
Divide the top number (numerator) by the bottom number (denominator) and multiply the result by 100.
7. What is the formula for reverse tax calculation?
Use Calculator #8. Formula: Total Amount / (1 + TaxRate). Example: $107 with 7% tax. $107 / 1.07 = $100.

12-in-1 Percentage Calculator Suite © FairCalculator.com