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Calculate Any Percentage in Seconds - With Step-by-Step Explanation

Calculate percentage increase, decrease, discount, tip, tax, markup, and more. Free percentage calculator with step-by-step solutions. Find what percent, percent of, and percent change instantly.

Instant Results
100+ Calculations
All Percentage Types
2,500,000 percentages calculated this month

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Quick Conversions

Percentage ↔ Decimal

25%
= 0.25
0.75
= 75%

Percentage ↔ Fraction

25%
= 1/4
3/5
= 60%

Mental Math Tricks

10% of any number
Move decimal one place left (150 → 15)
5% of any number
Half of 10% (10% of 80 = 8, so 5% = 4)
15% tip shortcut
10% + half of 10% ($40 → $4 + $2 = $6)

How to Calculate Percentages: Complete Guide

Basic Percentage Formula

The fundamental percentage formula is: (Part ÷ Whole) × 100 = Percentage

For example, to find what percentage 25 is of 100: (25 ÷ 100) × 100 = 25%

Common Mistakes to Avoid

  • • Forgetting to multiply by 100
  • • Confusing percentage increase with total percentage
  • • Using the wrong base value for calculations
  • • Mixing up markup and margin percentages

Percentage Calculator for Every Situation

Shopping Discounts

Calculate savings instantly during sales. For example, a 30% discount on a $150 item saves you $45, making the final price $105. Our calculator shows you exactly how much you save on Black Friday deals, clearance sales, and coupon stacking.

Restaurant Tips

Never struggle with tip calculations again. For a $47.83 bill, a 20% tip is $9.57, making your total $57.40. Split between 4 people? That's $14.35 each. Our calculator handles any tip percentage and split configuration.

Test Scores and Grades

Convert your points to percentages and letter grades instantly. Scored 85 out of 100? That's 85%, typically a B grade. Our grade calculator supports custom grading scales and weighted assignments.

Business Metrics

Calculate profit margins, markup percentages, and ROI. If you buy for $50 and sell for $75, that's a 50% markup and 33.33% profit margin. Essential for pricing strategies and financial analysis.

Percentage vs Percentage Points

Understanding the difference is crucial: If interest rates rise from 3% to 5%, that's an increase of 2 percentage points, but a 66.67% increase. Our calculator clearly distinguishes between these concepts to prevent costly mistakes.

Pro Tip: Compound Percentages

When dealing with multiple percentage changes, you can't simply add them. A 10% increase followed by a 10% decrease doesn't return you to the original value. Use our multi-step calculator to track compound percentage changes accurately.

Frequently Asked Questions

How do I calculate 15% tip on $47.83 restaurant bill?

To calculate 15% of $47.83: multiply 47.83 × 0.15 = $7.17. Your total bill would be $47.83 + $7.17 = $55.00. For quick mental math: find 10% ($4.78) and add half of that ($2.39) to get approximately $7.17.

What percentage is 37 out of 50 on my test?

To find the percentage: (37 ÷ 50) × 100 = 74%. This typically translates to a C grade in most grading systems. You answered 74% of the questions correctly.

How to find percentage decrease from 150 to 120?

First, find the difference: 150 - 120 = 30. Then divide by the original value: 30 ÷ 150 = 0.2. Multiply by 100 to get 20% decrease. The value decreased by 20%.

How to calculate 20 percent discount on 80 dollars?

To find 20% of $80: 80 × 0.20 = $16 discount. The final price is $80 - $16 = $64. You save $16, which is 20% of the original price.

How to calculate percentage markup from cost and selling price?

Markup % = ((Selling Price - Cost) ÷ Cost) × 100. For example, if cost is $50 and selling price is $75: ((75 - 50) ÷ 50) × 100 = 50% markup. This means you're charging 50% above your cost.