What is Percentage?
A percentage is a number expressed as a fraction of 100. The word comes from Latin "per centum" meaning "by the hundred". Percentages are used everywhere — from discounts and interest rates to exam scores and statistics. They make it easy to compare quantities of different scales on a common ground.
Common Percentage Calculations
1. Finding X% of Y: Multiply X by Y and divide by 100. Example: 20% of 500 = (20 × 500) ÷ 100 = 100.
2. Finding what % X is of Y: Divide X by Y and multiply by 100. Example: 25 is what % of 200 = (25 ÷ 200) × 100 = 12.5%.
3. Percentage Increase: (New − Old) ÷ Old × 100. Example: Price goes from ₹100 to ₹120 → (120 − 100) ÷ 100 × 100 = 20% increase.
4. Percentage Decrease: (Old − New) ÷ Old × 100. Example: Price drops from ₹100 to ₹80 → 20% decrease.
Real-Life Uses of Percentage
- Shopping discounts (Flat 50% off)
- Interest rates on loans and savings
- Exam marks and grades
- Tax calculations (GST, income tax)
- Business profit and loss
- Population growth statistics
- Bank interest calculations
Quick Percentage Tricks
- To find 10%, move decimal one place left (10% of 250 = 25)
- To find 1%, move decimal two places left (1% of 250 = 2.5)
- To find 50%, just divide by 2 (50% of 250 = 125)
- To find 25%, divide by 4
- To find 5%, find 10% and half it
Percentage vs Percentile
Percentage and percentile are often confused. A percentage tells you what fraction of 100 something is. A percentile tells you where you stand relative to others. For example, scoring 80% means you got 80 out of 100. Being in the 80th percentile means you scored better than 80% of people.
Why Use Our Percentage Calculator?
Our free percentage calculator handles both common types — finding X% of Y and finding what % X is of Y — in one place. Perfect for students, shoppers, business owners, and anyone who needs quick percentage calculations. Works on mobile, no signup required.