How to calculate percentage of a number?

To calculate percentage of a number, multiply the number by the percentage and divide by 100. Formula: (Number × Percentage) ÷ 100 = Result. Example: 20% of 150 = 30.

What is the formula for percentage increase and decrease?

Percentage Increase: ((New Value - Original Value) ÷ Original Value) × 100. Percentage Decrease: ((Original Value - New Value) ÷ Original Value) × 100.

How to calculate percentage difference between two numbers?

Percentage difference = (|Value 1 - Value 2| ÷ ((Value 1 + Value 2) ÷ 2)) × 100. This shows the relative difference between two values.

How to find original price before percentage discount?

To find the original price: Original = Final Price ÷ (1 - Discount%/100). Example: If an item costs $80 after a 20% discount, the original price = 80 ÷ 0.80 = $100.

What are common percentage calculation mistakes?

Common mistakes include confusing percentage points with percentages, using wrong base values, and mental math errors. Always double-check by working backwards from your result.

Percentage Calculator - Calculate Percent Online Free

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Why Choose Our Percentage Calculator

Looking for the best percentage calculator 2024? Our professional percentage calculator is trusted by 823,000+ users monthly for accurate percent calculator, percentage increase calculator, and percentage decrease calculator functionality. Whether you're calculating shopping discounts, analyzing business growth, or solving math homework, our comprehensive tool provides instant results with step-by-step explanations.

✅ Complete Percentage Tools

• Percentage of a Number: What is X% of Y? Instant calculations
• Percentage Increase/Decrease: Find percent change between values
• Percentage Difference: Compare two numbers with relative difference
• Reverse Percentage: Find original value before percentage change

🏆 Advanced Features

• Step-by-Step Solutions: Learn the formula and methodology
• Multiple Calculation Types: Basic to advanced percentage problems
• Real-Time Results: Instant calculations as you type
• Mobile Optimized: Works perfectly on all devices

🛒 For Shopping & Finance

Calculate discounts, sales tax, tips, loan interest, and investment returns with precision.

📚 For Students & Teachers

Solve homework problems, calculate grades, and understand percentage concepts.

📊 For Business Analysis

Analyze growth rates, profit margins, market share, and performance metrics.

💡 Pro Tip: Remember the fundamental percentage formula: (Part/Whole) × 100 = Percentage. Our calculator handles all variations of this formula automatically.

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Percentage Quick Reference Guide

📝 Common Formulas

Percentage of Number:

(Number × Percentage) ÷ 100

Percentage Increase:

((New - Old) ÷ Old) × 100

Percentage Decrease:

((Old - New) ÷ Old) × 100

What Percent:

(Part ÷ Whole) × 100

🛒 Shopping Examples

20% off $100: $100 × 0.80 = $80

15% tip on $50: $50 × 0.15 = $7.50

8% sales tax: Price × 1.08

Buy 2 get 30% off: (2 × price) × 0.70

Quick mental math: 10% = move decimal left

📊 Business Metrics

Profit Margin: (Profit ÷ Revenue) × 100

Growth Rate: ((New - Old) ÷ Old) × 100

Market Share: (Company Sales ÷ Total Market) × 100

ROI: ((Gain - Cost) ÷ Cost) × 100

Use for performance analysis and reporting

Real-World Percentage Examples

💰 Financial Planning

Salary Increase: $50,000 to $55,000 = 10% raise

Investment Return: $1,000 to $1,200 = 20% gain

Emergency Fund: Need 3-6 months expenses (25-50% of income)

401k Contribution: 15% of salary recommended

🛍️ Shopping & Savings

Black Friday Deal: $100 item, 30% off = $70 final price

Cashback Credit Card: 2% on $500 purchase = $10 back

Bulk Discount: Buy 10, save 15% per item

Loyalty Points: 5% back = $5 per $100 spent

📚 Academic & Grading

Test Score: 85/100 = 85% (B grade)

GPA Calculation: 3.5/4.0 = 87.5%

Attendance Rate: 180/200 days = 90%

Grade Improvement: 70% to 85% = 21.4% increase

🏥 Health & Fitness

Weight Loss: 200lbs to 180lbs = 10% reduction

Body Fat: Target 15-20% for healthy range

Heart Rate: Max HR = 220 - age (train at 70-80%)

Daily Calories: 20% deficit for weight loss

📊 Business Analytics

Conversion Rate: 100 sales / 2,000 visitors = 5%

Profit Margin: $20 profit / $100 revenue = 20%

Market Share: $1M sales / $10M market = 10%

Growth Rate: Year-over-year revenue increase

🏠 Real Estate & Taxes

Down Payment: 20% of $300K home = $60K

Property Tax: 1.2% of home value annually

Commission: 6% of sale price to agents

Home Appreciation: 3-5% per year average

Pro Tips & Common Mistakes

✅ Pro Tips

Mental Math Shortcuts

• 10% = move decimal point left once
• 1% = divide by 100
• 50% = divide by 2
• 25% = divide by 4
• 20% = divide by 5

Double-Check Methods

Always verify percentage calculations by working backwards. If 20% of X = 40, then X should equal 40 ÷ 0.20 = 200.

❌ Common Mistakes

Percentage Point Confusion

Wrong: "Interest rate went from 5% to 6%, a 20% increase"
Right: "1 percentage point increase" or "20% relative increase"

Base Value Errors

Always identify what the percentage is "of"."20% increase of what?" The base value matters for accurate calculations.

Advanced Percentage Calculator Features

🎯 Specialized Calculations

Percentage Increase Decrease Calculator

Calculate both percentage increase and decrease between any two values. Perfect for analyzing growth rates, price changes, and performance metrics.

Calculate Percentage of a Number

Find what percentage one number represents of another. Essential for tax calculations, discount pricing, and statistical analysis.

Percentage Difference Calculator Between Two Numbers

Compare two values and determine their relative difference. Ideal for comparing prices, scores, or performance data.

🔄 Reverse & Error Calculations

Reverse Percentage Calculator Online

Work backwards from percentages to find original values. Useful for determining pre-discount prices or original quantities.

Percentage Error Calculator

Calculate percentage error in measurements and experiments. Essential for scientific calculations and quality control.

Calculate Percentage Discount Online

Determine discount percentages and final sale prices. Perfect for shopping, retail pricing, and promotional calculations.

⚡ Percentage of Total Calculator

Market Analysis Examples:

• Market share: Company revenue ÷ Total market × 100
• Budget allocation: Department budget ÷ Total budget × 100
• Survey results: Response count ÷ Total responses × 100
• Portfolio analysis: Asset value ÷ Total portfolio × 100

Performance Metrics:

• Completion rates: Tasks done ÷ Total tasks × 100
• Success rates: Successes ÷ Total attempts × 100
• Accuracy rates: Correct answers ÷ Total questions × 100
• Conversion rates: Conversions ÷ Total visitors × 100

💡 Long-tail Search Optimization: Our calculator handles all specific percentage calculation needs including increase/decrease analysis, reverse calculations, error calculations, discount computations, and percentage-of-total determinations with step-by-step explanations.

Percentage Calculator