6-in-1 Calculator - All Percentage Calculations
✓ What is X% of Y - Shopping discounts, salary calculations
✓ Percentage Increase/Decrease - Price changes, salary hikes
✓ Percentage Difference - Compare two values scientifically
✓ Instant Results - with formulas, examples, and comparisons
Example Uses:
20% of 100 = 20.00
Formula Used:
(20 / 100) × 100 = 20.00
Explanation:
To find 20% of 100, we divide 20 by 100 and multiply by 100.
20% of 100
(20/100) × 100
= 20
15% of 200
(15/100) × 200
= 30
50% of 80
(50/100) × 80
= 40
A Percentage Calculator is a versatile tool that performs all types of percentage calculations. From finding what is X% of Y, to calculating percentage increase/decrease, to comparing values - it handles every scenario you encounter in daily life.
Our 6-in-1 calculator covers: percentage of a number, reverse percentage, percentage increase, percentage decrease, percentage difference, and percentage change. Each mode provides instant results with formulas and real-world examples.
| Calculation Type | Formula | Example | Use Case |
|---|---|---|---|
| What is X% of Y? | (X / 100) × Y | 20% of 100 = 20 | Discounts, tips, commissions |
| X is what % of Y? | (X / Y) × 100 | 25 is 25% of 100 | Exam scores, completion rate |
| Percentage Increase | ((New - Old) / Old) × 100 | 100→125 = 25% ↑ | Salary hikes, price rises |
| Percentage Decrease | ((Old - New) / Old) × 100 | 100→80 = 20% ↓ | Sales, weight loss, discounts |
| Percentage Difference | |A-B| / ((A+B)/2) × 100 | 100 & 120 = 18.18% | Compare two values, science |
| Percentage Change | ((To - From) / From) × 100 | 100→150 = +50% | Any before/after scenario |
Example 1: Festival Sale
Product MRP: ₹2,500
Discount: 40% off
You Save: ₹1,000 | Pay: ₹1,500
Example 2: Electronics
Laptop: ₹60,000
Discount: 15% + 5% cashback
Final: ₹48,450 (19.25% total savings)
Example 1: Annual Appraisal
Current: ₹50,000/month
Hike: 15%
New Salary: ₹57,500/month (₹7,500 ↑)
Example 2: Freelance Commission
Project Value: ₹1,00,000
Commission: 12%
Your Earning: ₹12,000
Example 1: Board Exam
Marks: 450 / 500
Calculation: (450/500) × 100
Percentage: 90% (A+ Grade)
Example 2: Multiple Subjects
Total: 485 / 600
Calculation: (485/600) × 100
Percentage: 80.83% (First Class)
Example 1: Restaurant Bill
Food Bill: ₹1,200
Tip: 10%
Total: ₹1,320 (₹120 tip)
Example 2: Delivery Order
Order: ₹500
Tip: 8% + ₹30 delivery
Total: ₹570 (₹40 tip + ₹30 delivery)
💡 Quick Tip: Memorize these common percentages for mental math. Example: 25% of 200 = 200/4 = 50 (no calculator needed!)
To find what is X% of Y, use this formula: (X / 100) × Y = Result. Step-by-step: Divide the percentage by 100 to convert to decimal. Multiply the decimal by the number. Example 1: What is 20% of 100? (20 / 100) × 100 = 0.20 × 100 = 20. Example 2: What is 15% of 250? (15 / 100) × 250 = 0.15 × 250 = 37.5. Example 3: What is 7.5% of 1,000? (7.5 / 100) × 1,000 = 0.075 × 1,000 = 75. Real-world uses: Shopping discounts: 30% off on ₹2,000 item = (30/100) × 2,000 = ₹600 discount. Final price = ₹2,000 - ₹600 = ₹1,400. Restaurant tips: 15% tip on ₹850 bill = (15/100) × 850 = ₹127.50. Sales commission: 5% commission on ₹50,000 sale = (5/100) × 50,000 = ₹2,500. GST calculation: 18% GST on ₹10,000 = (18/100) × 10,000 = ₹1,800. Pro Tip: For quick mental math, remember: 10% = divide by 10, 5% = half of 10%, 1% = divide by 100. Example: 15% of 200 = 10% (20) + 5% (10) = 30.
Percentage Increase/Decrease vs Percentage Change: Percentage Increase (specific): Used when value goes UP only. Formula: ((New - Old) / Old) × 100. Always positive result. Example: ₹100 → ₹125 = ((125-100)/100) × 100 = 25% increase. Percentage Decrease (specific): Used when value goes DOWN only. Formula: ((Old - New) / Old) × 100. Always positive result. Example: ₹125 → ₹100 = ((125-100)/125) × 100 = 20% decrease. Percentage Change (general): Can be increase OR decrease. Formula: ((New - Old) / Old) × 100. Result can be positive (increase) or negative (decrease). Example: ₹100 → ₹125 = +25% change (increase). ₹125 → ₹100 = -20% change (decrease). Key Difference Example: From ₹100 to ₹125: Percentage increase = 25%. From ₹125 to ₹100: Percentage decrease = 20% (NOT -25%!). Why different? Because the base (denominator) changes: 25/100 = 25% vs 25/125 = 20%. When to Use: Use "percentage increase" when clearly going up (salary hike, price rise). Use "percentage decrease" when clearly going down (discount, sale). Use "percentage change" when direction unknown or comparing both scenarios. Real Example: Salary ₹50K → ₹60K = 20% increase. Salary ₹60K → ₹50K = 16.67% decrease (not 20%!). This is why percentage increase and decrease are NOT symmetric!
Salary Hike Percentage Calculation: Formula: ((New Salary - Old Salary) / Old Salary) × 100 = Hike %. Step-by-Step Process: Note your current salary (old). Get your new salary after hike. Subtract old from new (increase amount). Divide increase by old salary. Multiply by 100 for percentage. Real Examples: Example 1 - Simple Hike: Old Salary: ₹50,000. New Salary: ₹60,000. Calculation: ((60,000 - 50,000) / 50,000) × 100. = (10,000 / 50,000) × 100 = 0.20 × 100 = 20%. Result: 20% salary hike. Example 2 - Mid-Level Hike: Old: ₹80,000, New: ₹95,000. Hike: ((95,000 - 80,000) / 80,000) × 100 = 18.75%. Example 3 - Senior Level: Old: ₹1,50,000, New: ₹1,80,000. Hike: ((1,80,000 - 1,50,000) / 1,50,000) × 100 = 20%. Reverse Calculation (Find New Salary): If you know hike percentage, find new salary: New Salary = Old Salary × (1 + Hike%/100). Example: ₹50K + 15% hike = ₹50K × 1.15 = ₹57,500. Common Hike Percentages India (2025): Entry level (0-2Y): 10-15% average. Mid-level (3-7Y): 12-20% average. Senior level (8Y+): 15-25% average. Job switch: 30-50% hike common. Promotion: 20-40% hike typical. Appraisal Tips: 10% = Meets expectations (average performer). 15%+ = Exceeds expectations (good performer). 20%+ = Outstanding performer. 30%+ = Exceptional / Promotion / Retention offer.
Exam Percentage Calculation Methods: Method 1 - Simple Percentage: Formula: (Marks Obtained / Total Marks) × 100 = %. Example: Scored 450 out of 500. (450 / 500) × 100 = 90%. Method 2 - Multiple Subjects: Add all marks obtained across subjects. Add all total marks across subjects. Apply formula. Example: Math: 85/100, Science: 92/100, English: 78/100. Total Obtained = 85 + 92 + 78 = 255. Total Marks = 100 + 100 + 100 = 300. Percentage = (255 / 300) × 100 = 85%. Method 3 - Different Subject Weightages: Some subjects have different maximum marks. Example: Math: 90/100, Science: 85/100, Social: 70/80, English: 65/70. Total = 90+85+70+65 = 310. Max = 100+100+80+70 = 350. Percentage = (310/350) × 100 = 88.57%. Grade Conversion (Common in India): 90-100% = A+ (Distinction / Outstanding). 80-89% = A (First Class / Excellent). 70-79% = B+ (Second Class / Very Good). 60-69% = B (Second Class / Good). 50-59% = C (Pass Class). Below 50% = Fail. CGPA to Percentage Conversion: CGPA × 9.5 = Approximate Percentage. Example: 8.5 CGPA = 8.5 × 9.5 = 80.75%. (This is standard formula used by most universities). Percentage to CGPA: Percentage / 9.5 = CGPA. Example: 85% = 85 / 9.5 = 8.95 CGPA. Board Exam Marking: CBSE/State Boards typically out of 100 per subject. Some boards have 80 (theory) + 20 (practical) = 100. Calculate percentage after combining both. Engineering/Medical Entrance: JEE/NEET percentile ≠ percentage! Percentile shows relative performance (75 percentile = better than 75% students). Percentage shows absolute score (75% = 75 marks out of 100).
Discount Percentage Calculation: Formula: ((Original Price - Sale Price) / Original Price) × 100 = Discount %. Step-by-Step: Note the original/MRP price. Check the sale/discounted price. Find difference (how much saved). Divide by original price. Multiply by 100. Real Shopping Examples: Example 1 - Simple Discount: MRP: ₹1,000, Sale Price: ₹700. Discount Amount: ₹1,000 - ₹700 = ₹300. Discount %: (₹300 / ₹1,000) × 100 = 30% off. Example 2 - Electronics: MRP: ₹50,000, Sale: ₹40,000. Discount: ((50,000 - 40,000) / 50,000) × 100 = 20% off. Example 3 - Fashion: MRP: ₹2,500, Sale: ₹1,750. Discount: ((2,500 - 1,750) / 2,500) × 100 = 30% off. Multiple Discount Calculation: IMPORTANT: Discounts are NOT additive! 30% + 20% ≠ 50% off. They apply sequentially. Example: Product MRP ₹1,000, First discount 30%, Second discount 20%. Step 1: After 30% off: ₹1,000 - (30% of ₹1,000) = ₹1,000 - ₹300 = ₹700. Step 2: After 20% off on ₹700: ₹700 - (20% of ₹700) = ₹700 - ₹140 = ₹560. Total Discount: ₹1,000 - ₹560 = ₹440 (44% off, not 50%!). Quick Formula for Multiple Discounts: Final Price = MRP × (1 - d1/100) × (1 - d2/100). Example: ₹1,000 × 0.70 × 0.80 = ₹560. Reverse Calculation (Find Original Price): If you know sale price and discount %: Original Price = Sale Price / (1 - Discount%/100). Example: Sale price ₹700 after 30% off. Original = ₹700 / 0.70 = ₹1,000. Festival Sale Tactics: Single discount better than multiple: 50% off > 30% + 20% off. Flat ₹500 off vs 20% - which better? Depends on MRP! ₹2,000 item: ₹500 flat = 25% (better), 20% = ₹400 (worse). ₹3,000 item: ₹500 flat = 16.7% (worse), 20% = ₹600 (better). Cashback vs Discount: ₹1,000 item, 20% discount = pay ₹800. ₹1,000 item, 20% cashback = pay ₹1,000, get ₹200 back later. Discount is immediate, cashback is delayed - discount usually better!
Percentage Difference Explained: Definition: Shows relative difference between two values without considering which is larger. Used when BOTH values are equally important (no "original" vs "new"). Formula: |Value1 - Value2| / ((Value1 + Value2) / 2) × 100 = % Difference. The denominator is the AVERAGE of two values. Step-by-Step Calculation: Find absolute difference: |V1 - V2|. Find average: (V1 + V2) / 2. Divide difference by average. Multiply by 100. Example 1: Compare 100 and 120. Difference: |100 - 120| = 20. Average: (100 + 120) / 2 = 110. Percentage Difference: (20 / 110) × 100 = 18.18%. Example 2: Compare 50 and 75. Difference: |50 - 75| = 25. Average: (50 + 75) / 2 = 62.5. Percentage Difference: (25 / 62.5) × 100 = 40%. When to Use Percentage Difference: Scientific measurements: Comparing two experimental values. No clear "before" and "after". Both measurements equally valid. Comparing competitors: Company A revenue: ₹10 Cr, Company B: ₹12 Cr. No "original" - both are independent values. Product comparison: Product A: ₹500, Product B: ₹600. Which is reference? Neither - use % difference. Statistical analysis: Comparing survey results, test scores, etc. Percentage Difference vs Percentage Change: Percentage Change: Has direction (increase/decrease). Uses OLD value as base. Example: 100 → 120 = 20% increase. Percentage Difference: No direction (symmetric). Uses AVERAGE as base. Example: 100 and 120 = 18.18% difference. Key Insight: Percentage difference is SYMMETRIC: % diff between 100 and 120 = % diff between 120 and 100. Both give 18.18%. But percentage change is ASYMMETRIC: 100 → 120 = +20% change. 120 → 100 = -16.67% change. Real-World Examples: Compare two city temperatures: Delhi 35°C, Mumbai 30°C. Percentage difference: |35-30| / 32.5 × 100 = 15.38%. Compare two stocks: Stock A: ₹500, Stock B: ₹600. Percentage difference: |500-600| / 550 × 100 = 18.18%. Academic Use: Used in physics, chemistry for experimental error. Standard formula in research papers. Avoids bias of choosing "reference value".