Percentage Calculators Hub
All the percentage calculators you need in one place. Fast, accurate, and easy to use.
Percentage of a Number
40
= 20% of 200
Formula: Percentage × Number ÷ 100
Percentage Increase/Decrease
20%
Increase
Formula: ((New - Original) ÷ Original) × 100
What percentage is X of Y?
20%
30 is 20% of 150
Formula: (Part ÷ Whole) × 100
Percentage Difference
22.22%
Difference between 100 and 80
Formula: |A - B| ÷ ((A + B) ÷ 2) × 100
Add Percentage (Tax/Tip)
110
= 100 + 10% = 110
Formula: Number × (1 + Percentage ÷ 100)
Subtract Percentage (Discount)
75
= 100 - 25% = 75 (Save $25)
Formula: Number × (1 - Percentage ÷ 100)
Frequently Asked Questions About Percentages
What is a percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign (%). For example, 45% means 45 out of 100, or 45/100.
How do I calculate percentage of a number?
To find X% of Y, use the formula: (X × Y) ÷ 100. For example, 20% of 50 = (20 × 50) ÷ 100 = 10.
How do I calculate percentage increase?
Percentage increase = ((New Value - Original Value) ÷ Original Value) × 100%. For example, from 50 to 60: ((60-50) ÷ 50) × 100 = 20% increase.
How do I calculate percentage decrease?
Percentage decrease = ((Original Value - New Value) ÷ Original Value) × 100%. For example, from 80 to 60: ((80-60) ÷ 80) × 100 = 25% decrease.
How do I calculate what percentage one number is of another?
To find what percentage X is of Y, use: (X ÷ Y) × 100%. For example, 25 is what percent of 200? (25 ÷ 200) × 100 = 12.5%.
How do I calculate a discount percentage?
Discount amount = Original Price × (Discount% ÷ 100). Sale Price = Original Price - Discount. For example, 20% off $50: discount = $10, sale price = $40.
What is percentage difference?
Percentage difference measures the relative difference between two values, regardless of direction. Formula: |A - B| ÷ ((A + B) ÷ 2) × 100%.
How do I calculate a tip percentage?
Tip amount = Bill × (Tip% ÷ 100). For a $50 bill with 15% tip: tip = $7.50, total = $57.50.
What's the difference between percentage increase and percentage points?
Percentage increase is relative change (from 10% to 15% = 50% increase). Percentage points are absolute change (10% to 15% = 5 percentage points).
How are percentages used in grade calculations?
Grade percentage = (Points Earned ÷ Total Points) × 100%. For example, 85/100 = 85%. Some teachers use weighted percentages for different assignments.
Quick Percentage Reference Table
| Percentage | Fraction | Decimal | Common Use |
|---|---|---|---|
| 1% | 1/100 | 0.01 | One hundredth |
| 5% | 1/20 | 0.05 | Sales tax (some states) |
| 10% | 1/10 | 0.10 | Typical tip |
| 15% | 3/20 | 0.15 | Standard restaurant tip |
| 20% | 1/5 | 0.20 | Excellent service tip |
| 25% | 1/4 | 0.25 | Quarter, sale discount |
| 33.33% | 1/3 | 0.3333 | One third |
| 50% | 1/2 | 0.50 | Half |
| 66.67% | 2/3 | 0.6667 | Two thirds |
| 75% | 3/4 | 0.75 | Three quarters |
| 100% | 1/1 | 1.00 | Whole |