Percentage Calculator — Complete Guide
Percentages are everywhere in daily life — from shopping discounts and exam scores to financial interest rates and statistical data. Our percentage calculator handles four of the most common percentage calculations with ease.
The Four Types of Percentage Calculations
- X% of Y: The most basic calculation. "What is 20% of 500?" = 100. Used for finding discounts, tax amounts, tips.
- X is what % of Y?: Used for finding scores, proportions. "50 marks out of 200 is what %?" = 25%.
- Percentage Change: Used for comparing old vs. new values. Formula: ((New - Old) / Old) × 100. Positive = increase, negative = decrease.
- Value after % Change: Find the final price after a percentage increase or discount. New Value = Original × (1 + % / 100).
Real-Life Percentage Examples
- Shopping: A ₹2,000 shirt is 30% off. Discount = 30% of 2000 = ₹600. Final price = ₹1,400.
- Exam Score: You scored 85 out of 100. Percentage = (85/100) × 100 = 85%.
- Salary Hike: Salary was ₹50,000 and increased to ₹60,000. Change = ((60000-50000)/50000) × 100 = 20% increase.
- GST: Item costs ₹1,000 before GST. Add 18% GST = ₹180. Total = ₹1,180.
Percentage Formula
The basic formula: Percentage = (Part / Whole) × 100
Percentage change: % Change = ((New Value - Old Value) / Old Value) × 100