Free Percentage Calculator

Calculate percentages with our simple and accurate percentage calculations tool designed for everyday use. Find percentage of numbers and get the answer to what percentage of number and %age increase and decrease using our free percent calculator.

What is X percent of Y?

What is 10% of 100? Answer is 10
Result:
Practice

X is what percent of Y?

5 is what percent of 50? Answer is 10%
Result:
Practice

Percentage Increase Calculator

From 10 to 20? Answer is 100%
Change:
Practice

How to Calculate Percentages

Understanding how to calculate percentages is important for many situations, from shopping discounts to academic grade calculations as well as general daily usage.

Here are the basic formulas and step-by-step methods implemented in these percentage calculators:

How to find X Percent of Y?

Formula: (X/100) × Y

Steps: 1. Convert percentage to decimal (X/100) 2. Multiply by Y

Example: To find 15% of 200: (15/100) × 200 = 30

  • 20% of 150 = (20/100) × 150 = 30
  • 7.5% of 400 = 0.075 × 400 = 30
  • 100% of 75 = 1 × 75 = 75

How to find what percent of Y is X?

Formula: (X/Y) × 100

Steps: 1. Divide X by Y 2. Multiply by 100

Example: 25 is what percent of 200? (25/200) × 100 = 12.5%

  • 30 out of 150 = (30/150) × 100 = 20%
  • 15 out of 300 = 15/300 × 100 = 5%
  • 200 out of 160 = 200/160 × 100 = 125%

How to find percentage change?

Formula: ((New Value - Original Value)/Original Value) × 100

Steps: 1. Calculate difference 2. Divide by original 3. Multiply by 100

Example: Price increases from $50 to $65: ((65-50)/50) × 100 = 30% increase

  • 80 to 100 = 25% increase
  • 150 to 120 = 20% decrease
  • 200 to 250 = 25% increase

Practical Percentage Applications

Here are some scenarios where percentage calculations are essential:

Our calculator helps solve these common percentage problems and many more:

Discount Calculations

Calculate discounted prices: Original Price × (1 - Discount Percentage)

Example: $200 item with 15% discount: 200 × 0.85 = $170

  • 30% off $150 = 150 × 0.70 = $105
  • 5% discount on $80 = 80 × 0.95 = $76
  • 25% sale on $120 = 120 × 0.75 = $90

Tip Calculations

Determine service tips: Bill Amount × (Tip Percentage/100)

Example: 18% tip on $45 bill: 45 × 0.18 = $8.10

  • 15% tip on $60 = $9.00
  • 20% tip on $35 = $7.00
  • 10% tip on $120 = $12.00

Tax Calculations

Calculate sales tax: Pre-tax Amount × (1 + Tax Rate)

Example: 7% tax on $500 purchase: 500 × 1.07 = $535

  • 8.25% tax on $200 = 200 × 1.0825 = $216.50
  • 5% VAT on €80 = €84.00
  • 10% GST on ₹1000 = ₹1100