Percentage Calculator




Percentage Formulas

Basic Percentage Formulas

1. Percentage of a Number:
Percentage = (Part / Whole) × 100

2. Find the Part:
Part = (Percentage × Whole) / 100

3. Find the Whole:
Whole = (Part × 100) / Percentage

Percentage Change Formula

Percentage Change = [(New Value - Old Value) / Old Value] × 100

Percentage Increase/Decrease

Percentage Increase = [(New Value - Original Value) / Original Value] × 100
Percentage Decrease = [(Original Value - New Value) / Original Value] × 100

Common Percentage Calculations

Discount Calculations

Discounted Price = Original Price × (1 - (Discount Percentage / 100))

Tip Calculations

Tip Amount = Bill Amount × (Tip Percentage / 100)

Tax Calculations

Total with Tax = Original Amount × (1 + (Tax Percentage / 100))

Markup Calculations

Selling Price = Cost Price × (1 + (Markup Percentage / 100))

Percentage Conversion Table

Fraction Decimal Percentage
1/2 0.5 50%
1/4 0.25 25%
3/4 0.75 75%
1/5 0.2 20%
1/10 0.1 10%
1/100 0.01 1%

Practical Applications of Percentages

Percentage Tricks and Shortcuts

Frequently Asked Questions

How do I calculate a percentage between two numbers?

Use the formula: (Part / Whole) × 100

How do I add 15% to a price?

Multiply the price by 1.15

What's the difference between percentage points and percent?

Percentage points refer to absolute difference, while percent refers to relative difference

How do I calculate reverse percentages?

Use the formula: Original Amount = (Final Amount × 100) / (100 ± Percentage Change)

Advanced Percentage Concepts