Math & Everyday Utilities
All-in-One Percentage Calculator
Solve any percentage problem in seconds with 4 instant math engines, live formula explanations, and copyable results.
1. Basic Percentage
(X × Y) ÷ 100
What is
% of
?
Result:
30
2. Proportion & Ratio
(X ÷ Y) × 100
is what % of
?
Result:
12.5%
3. Percentage Change
((Y − X) ÷ X) × 100
Increase of:
+25%
4. Add / Subtract % (Discount / Markup)
X ± (X × %)
Final Value:
400.00
Percentage Mathematics Master Guide
Understanding Percentage Calculations & Formulas
The word percentage originates from the Latin phrase per centum, meaning "by the hundred". In mathematical notation, a percentage represents a dimensionless fraction or ratio expressed with the denominator 100 (symbolized as %).
Percentages are widely used across financial accounting, retail discount calculations, profit margin evaluation, interest rates, tax liability (GST, VAT, Sales Tax), statistics, and academic grade assessments.
Standard Percentage Formulas Reference
| Operation | Formula Expression | Practical Example | Calculated Result |
|---|---|---|---|
| Find X% of Y | (X / 100) × Y | 20% of 450 | 90 |
| X is What % of Y? | (X / Y) × 100 | 45 of 180 | 25% |
| % Change (Old to New) | ((New − Old) / Old) × 100 | 80 to 100 | +25% Increase |
| Apply Discount (% Off) | Original − (Original × Discount%) | ₹1,000 at 30% Off | ₹700 |
| Apply Markup / GST | Base + (Base × Tax%) | ₹2,000 + 18% GST | ₹2,360 |
Frequently Asked Questions (FAQs)
How do I convert a fraction into a percentage?
To convert any fraction into a percentage, divide the numerator by the denominator and multiply by 100. For example, 3/4 becomes
(3 ÷ 4) × 100 = 75%.
What is the difference between percentage points and percentage change?
Percentage points measures the simple arithmetic difference between two percentage values (e.g. from 10% to 15% is a 5 percentage points increase). Percentage change measures relative growth:
((15 - 10) ÷ 10) × 100 = 50% increase.
How do I calculate percentage difference between two numbers?
Percentage difference is calculated by dividing the absolute difference of two numbers by their average, multiplied by 100:
|A − B| ÷ ((A + B) / 2) × 100.