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% Most Useful Math Tool

Percentage Calculator - Calculate Percentages Online

Calculate percentages instantly with our free online calculator. Find percentage of a number, percentage increase/decrease, percentage difference, and more. Easy, accurate, and works for all percentage calculations.

How it Works FAQ

Percentage Calculator

Choose calculation type below

What is 15% of 200?

Result
30
15% of 200 = 30

Increase 100 by 20%

New Value After Increase
120
Original Value: 100
Increase Amount: +20
Final Value: 120

Decrease 500 by 25%

New Value After Decrease
375
Original Value: 500
Decrease Amount: -125
Final Value: 375

Percentage difference between 50 and 75

Percentage Difference
40%
Absolute Difference: 25
Average of Numbers: 62.5
Percentage Difference: 40%

Common Percentage Calculations

How to Calculate Percentages

Master percentage calculations with these simple methods:

1

Basic Percentage

Formula: (Percentage Γ· 100) Γ— Number

Example: What is 15% of 200?

(15 Γ· 100) Γ— 200 = 0.15 Γ— 200 = 30

2

Percentage Increase

Formula: Original Γ— (1 + Percentage/100)

Example: Increase 100 by 20%

100 Γ— (1 + 20/100) = 100 Γ— 1.20 = 120

3

Percentage Decrease

Formula: Original Γ— (1 - Percentage/100)

Example: Decrease 500 by 25%

500 Γ— (1 - 25/100) = 500 Γ— 0.75 = 375

4

Percentage Difference

Formula: |V1 - V2| / [(V1 + V2)/2] Γ— 100

Example: Difference between 50 and 75

|50-75| / [(50+75)/2] Γ— 100 = 25/62.5 Γ— 100 = 40%

Percentage Formulas

P% of N = (P Γ· 100) Γ— N

Basic Percentage: Find percentage of any number. Example: 20% of 150 = (20Γ·100) Γ— 150 = 30

New Value = N Γ— (1 + P/100)

Percentage Increase: Add percentage to original. Example: 100 + 25% = 100 Γ— 1.25 = 125

New Value = N Γ— (1 - P/100)

Percentage Decrease: Subtract percentage from original. Example: 200 - 30% = 200 Γ— 0.70 = 140

% Change = [(New - Old) / Old] Γ— 100

Percentage Change: Find change between two values. Example: From 50 to 75 = [(75-50)/50] Γ— 100 = 50%

Real-World Percentage Uses

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Shopping & Discounts

Calculate sale prices, discounts, and savings. Find final price after 30% off, or how much you save on clearance items.

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Tips & Service Charges

Calculate restaurant tips (15%, 18%, 20%), service charges, and gratuities. Split bills and add appropriate tips easily.

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Finance & Investments

Calculate interest rates, investment returns, profit margins, and portfolio performance. Track financial growth over time.

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Grades & Scores

Convert marks to percentages (45 out of 60 = 75%). Calculate GPA, test scores, and academic performance metrics.

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Taxes & Fees

Calculate sales tax, GST, VAT, and other taxes. Add tax to prices or find pre-tax amounts from totals.

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Business Analytics

Track growth rates, market share, conversion rates, and KPIs. Compare performance metrics and analyze trends.

Frequently Asked Questions

How do I calculate percentage of a number?

Divide the percentage by 100, then multiply by the number. For example, to find 20% of 150: (20 Γ· 100) Γ— 150 = 0.20 Γ— 150 = 30. Or use our calculator's "Basic %" tab for instant results.

What's the difference between percentage increase and percentage change?

Percentage increase adds a percentage to the original value (100 + 20% = 120). Percentage change calculates the relative difference between two values as a percentage. Both are useful for different scenarios.

How to calculate percentage discount?

Use the percentage decrease formula. For 30% off $80: $80 Γ— (1 - 30/100) = $80 Γ— 0.70 = $56. You save $24. Use our "% Decrease" tab to calculate any discount instantly.

How to convert fraction to percentage?

Divide numerator by denominator, then multiply by 100. Example: 3/4 = 0.75 Γ— 100 = 75%. Or for scores: 45 out of 60 = (45 Γ· 60) Γ— 100 = 75%.

What is percentage difference vs percentage change?

Percentage change uses the original value as base (old to new). Percentage difference uses the average of both values as base (symmetric). Use percentage change for trends, percentage difference for comparing two values.

How to calculate tip percentage?

Multiply bill amount by tip percentage. For 18% tip on $45: $45 Γ— 0.18 = $8.10. Total with tip: $45 + $8.10 = $53.10. Use "Basic %" tab for quick tip calculations.

Can percentages be more than 100%?

Yes! Percentages above 100% represent values greater than the original. For example, 200% of 50 = 100 (double the original). Common in growth rates and comparisons.

How to reverse calculate percentage?

If you know the result and percentage, divide result by (1 + percentage/100). Example: After 20% increase, value is 120. Original = 120 Γ· 1.20 = 100.

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