utilities
CGPA Calculator
Convert your educational grades and CGPA to percentage terms.
Percentage Calculator
Percentage Calculator — Find %, Increase & Difference
Perform percentage calculations, changes, and fractions instantly.
Find Percentage of Value
What is% of
Result:
Formula: (15% / 100) * 200 = 3030
Find Percent Proportion
Result:
Formula: (30 / 150) * 100 = 20.00%20%
Percentage Increase / Decrease
Change fromto
Difference:
Formula: ((100 - 80) / 80) * 100 = 25.00%+25%
Add or Subtract Percentage
Add/Sub% to/from
Added (+):
275
Subtracted (-):
225
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Quick Start Instructions
Calculate X% of a number, percentage increase or decrease between two values, or percentage difference. Shows step-by-step working for each calculation type.
- 1Select calculation type: % of a number, % increase/decrease, or % difference.
- 2Input your numerical values in the corresponding fields.
- 3View instant result with step-by-step mathematical reasoning shown.
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Frequently Asked Questions
How do you calculate a percentage of a value?
To find X% of Y, use the formula: Value = (X / 100) * Y. For example, to find 20% of 150: (20 / 100) * 150 = 30.
How to calculate percentage increase between two numbers?
To calculate percentage increase: Subtract the original number from the new number, divide the result by the original number, and multiply by 100. Formula: ((New - Original) / Original) * 100.
What is percentage difference?
Percentage difference is used when comparing two values where neither is a starting or reference value. It is the absolute difference between two numbers divided by the average of those two numbers, multiplied by 100. This is different from percentage change, which always compares to the original value.
How do you convert a fraction to a percentage?
To convert a fraction like 3/4 to a percentage, divide the numerator by the denominator and multiply by 100: (3 ÷ 4) × 100 = 75%. You can use the percentage calculator to verify any fraction-to-percent conversion instantly without manual arithmetic.
Detailed Guide & Overview
Percentage Calculator: All Types of Percentage Problems Solved
Percentages are one of the most frequently used mathematical concepts in everyday life — from calculating exam scores and discounts to GST amounts, salary increments, interest rates, and investment returns. Despite this, percentage calculations are a common source of confusion and errors when done mentally. Our free Percentage Calculator solves every type of percentage problem instantly and accurately.
Types of Percentage Calculations
- Basic Percentage: What is X% of Y? Example: What is 18% of ₹5,000? → ₹5,000 × 18 ÷ 100 = ₹900 (GST amount on a ₹5,000 item)
- Percentage of Total: X is what percent of Y? Example: You scored 342 out of 500 marks — what percentage? → 342 ÷ 500 × 100 = 68.4%
- Percentage Change (Increase/Decrease): What is the % change from X to Y? Example: Salary increased from ₹50,000 to ₹58,000 → (8,000 ÷ 50,000) × 100 = 16% increase
- Reverse Percentage: If Y is X% of what number? Example: ₹900 is 18% of what total? → 900 ÷ 18 × 100 = ₹5,000
- Percentage Addition: Increase a number by X% Example: Add 28% GST to a ₹10,000 base price → ₹10,000 × 1.28 = ₹12,800
- Percentage Subtraction: Decrease a number by X% Example: 30% discount on ₹2,500 → ₹2,500 × 0.70 = ₹1,750
GST Percentage Calculations for Indian Businesses
GST (Goods and Services Tax) is applied as a percentage on the base price. India uses five main GST slabs: 0%, 5%, 12%, 18%, and 28%. Common applications:
- 5% GST: Essential goods — packaged food, medicines, economy hotels
- 12% GST: Processed food, mobile phones, business hotels
- 18% GST: Most services, electronics, restaurants, software
- 28% GST: Luxury goods, automobiles, tobacco, aerated drinks
To calculate GST from the inclusive price: GST Amount = Total Price × GST Rate ÷ (100 + GST Rate). For example, ₹1,180 inclusive of 18% GST → GST = 1,180 × 18 ÷ 118 = ₹180. Base price = ₹1,000.
Percentage in Exams: UPSC, CAT, GMAT Shortcuts
Competitive exam aspirants frequently need to calculate percentages mentally. Memorise these shortcuts: 10% = divide by 10; 5% = half of 10%; 1% = divide by 100; 25% = divide by 4; 33.33% ≈ divide by 3; 50% = divide by 2. For complex calculations during exam time, break the percentage into components: 18% = 10% + 5% + 3% = easy three-step mental math.
Percentage vs Percentile: The Key Difference
These are often confused in academic contexts. Percentage is your score as a fraction of the maximum: 450/600 = 75%. Percentile is your rank relative to other test-takers: 90th percentile means you scored higher than 90% of all candidates, regardless of your absolute score. JEE and NEET rank lists use percentile-based normalisation across different shifts; CBSE class X and XII use absolute percentages.