Select Calculation Mode
Percentage of Number
What is X% of Y?
What Percent Is
X is what % of Y?
Percentage Increase
% increase from X to Y
Percentage Decrease
% decrease from X to Y
Percentage Difference
% difference between X and Y
Discount Calculator
Calculate discounts
Tip Calculator
Calculate tip amount
Calculate: What is X% of Y?
What is a Percentage Calculator?
A percentage calculator is a free online tool that performs various percentage calculations instantly. This comprehensive percent calculator helps you calculate percentages in multiple ways: finding what percentage a number is of another, calculating percentage increase, percentage decrease, percentage difference, and solving real-world problems like discounts and tips.
Whether you need to calculate percent of a number, determine what percent is X of Y, or find percentage change, this calculator provides accurate results. It's essential for shopping (discounts), dining (tips), academics (grade calculations), finance (interest rates), and data analysis. The calculator handles both simple and complex percentage problems with instant, precise results.
Percentage Formulas
1. Percentage of a Number
Formula: (Percent ÷ 100) × Number = Result
Example: 20% of 150 = (20 ÷ 100) × 150 = 30
2. What Percent is X of Y
Formula: (X ÷ Y) × 100 = Percent
Example: What percent is 30 of 150? (30 ÷ 150) × 100 = 20%
3. Percentage Increase
Formula: [(New Value - Original Value) ÷ Original Value] × 100
Example: From 50 to 60: [(60 - 50) ÷ 50] × 100 = 20% increase
4. Percentage Decrease
Formula: [(Original Value - New Value) ÷ Original Value] × 100
Example: From 100 to 75: [(100 - 75) ÷ 100] × 100 = 25% decrease
5. Percentage Difference
Formula: [|Value1 - Value2| ÷ ((Value1 + Value2) ÷ 2)] × 100
Example: Between 50 and 70: [|50 - 70| ÷ ((50 + 70) ÷ 2)] × 100 = 33.33%
Real-World Percentage Examples
Shopping Discounts
A $80 jacket is on sale for 25% off. How much do you save?
Solution: Savings = $80 × 25% = $80 × 0.25 = $20
Final Price = $80 - $20 = $60
Restaurant Tip
Your dinner bill is $45. You want to leave an 18% tip.
Solution: Tip = $45 × 18% = $45 × 0.18 = $8.10
Total = $45 + $8.10 = $53.10
Test Scores
You got 42 out of 50 questions correct. What's your percentage score?
Solution: (42 ÷ 50) × 100 = 84%
Your score is 84% (B grade)
Salary Increase
Your salary increased from $50,000 to $55,000. What's the percentage increase?
Solution: [(55,000 - 50,000) ÷ 50,000] × 100 = 10%
You received a 10% raise
Frequently Asked Questions About Percentage Calculator
How do I calculate a percentage of a number?
To calculate a percentage of a number, multiply the number by the percentage and divide by 100. Formula: (Percent ÷ 100) × Number = Result. For example, 20% of 150 = (20 ÷ 100) × 150 = 30. Use our percentage calculator to get instant results.
What is the formula for percentage increase?
The percentage increase formula is: [(New Value - Original Value) ÷ Original Value] × 100. For example, if a price increases from $50 to $60, the percentage increase is [(60 - 50) ÷ 50] × 100 = 20%. Our calculator handles this automatically.
How do you calculate percentage decrease?
Percentage decrease formula is: [(Original Value - New Value) ÷ Original Value] × 100. For example, if a price drops from $100 to $75, the percentage decrease is [(100 - 75) ÷ 100] × 100 = 25%. The result is always positive.
What is percentage difference and how is it calculated?
Percentage difference compares two values without designating one as initial or final. Formula: [|Value1 - Value2| ÷ ((Value1 + Value2) ÷ 2)] × 100. It's calculated by dividing the absolute difference by the average of the two values, then multiplying by 100. Use this when comparing any two numbers equally.
How do I calculate what percent one number is of another?
To find what percent X is of Y, use the formula: (X ÷ Y) × 100 = Percent. For example, to find what percent 30 is of 150: (30 ÷ 150) × 100 = 20%. So 30 is 20% of 150. Our calculator provides this instantly.
Can I calculate discounts and tips with a percentage calculator?
Yes! For discounts: Final Price = Original Price - (Original Price × Discount% ÷ 100). For tips: Tip Amount = Bill Amount × Tip% ÷ 100. Our percentage calculator includes dedicated discount and tip calculation modes for easy shopping and dining calculations.