Percentage Calculator

What is Percentage Calculator?

A percentage calculator is an online tool that instantly computes percentage-related calculations without requiring you to remember formulas or use a physical calculator. Percentages are used in almost every area of daily life — from calculating a restaurant tip to understanding your investment returns, figuring out a sale discount, or analyzing business data. The word "percent" comes from the Latin "per centum," meaning "by the hundred." A percentage is simply a number expressed as a fraction of 100. When you see 25%, it means 25 out of every 100 — or one quarter. This tool eliminates the mental math involved and gives you instant, accurate results for three types of calculations: finding a percentage of a number, calculating percentage change between two values, and finding what percentage one number is of another.

How It Works

Our percentage calculator works across three calculation modes. In the first mode (What is X% of Y?), you enter a percentage and a base number, and the calculator multiplies them together after converting the percentage to a decimal. In the second mode (X is what % of Y?), you enter two numbers and the calculator divides the first by the second and multiplies by 100. In the third mode (Percentage Change), you enter an old value and a new value, and the calculator shows you the increase or decrease as a percentage. All calculations happen instantly as you type — no button press needed.

Formula

Mode 1: Result = (Percentage / 100) × Number
Mode 2: Percentage = (Part / Whole) × 100
Mode 3: Change% = ((New - Old) / |Old|) × 100

Formula Explained

Each formula serves a different real-world purpose. The first formula answers questions like "What is 18% tip on a $55 bill?" — multiply 55 by 0.18 to get $9.90. The second formula answers "My score was 42 out of 60 — what percentage is that?" — divide 42 by 60 and multiply by 100 to get 70%. The third formula is used for business and finance: if your salary went from $45,000 to $52,000, the percentage increase is ((52000-45000)/45000) × 100 = 15.6%.

Example

Example 1: You buy a jacket originally priced at $120 with a 35% discount. What do you pay? Discount amount = (35 / 100) × 120 = $42 Final price = $120 - $42 = $78 Example 2: You scored 68 points out of 80 on a test. What is your percentage? Percentage = (68 / 80) × 100 = 85% Example 3: A stock you own went from $150 to $187.50. What is the percentage gain? Change = ((187.50 - 150) / 150) × 100 = 25% gain

Tips & Best Practices

✓To quickly calculate 10% of any number, simply move the decimal point one place to the left.
✓To find 5%, first find 10% and then divide that by 2.
✓To add a percentage (like tax), multiply by 1 + (rate/100). For 8% tax: multiply by 1.08.
✓A percentage decrease of 50% does NOT cancel out a 50% increase. 100 → +50% = 150 → -50% = 75.
✓When comparing percentages, always check if they share the same base value — percentages are relative numbers.

Common Use Cases

•Calculating sales tax or VAT on purchases
•Figuring out tip amounts at restaurants
•Analyzing year-over-year business growth or decline
•Calculating exam or test scores
•Finding the best discount when shopping online

Frequently Asked Questions

To calculate a percentage of a number, multiply the number by the percentage and divide by 100. For example, 20% of 150 = (20 × 150) / 100 = 30. You can also move the decimal two places left: 20% = 0.20, then 0.20 × 150 = 30.

Percentage change = ((New Value - Old Value) / Old Value) × 100. If a product price went from $50 to $65, the percentage change = ((65 - 50) / 50) × 100 = 30%. A positive result is an increase, a negative result is a decrease.

To find X% of Y, use the formula: Result = (X / 100) × Y. For example, 15% of 200 = (15 / 100) × 200 = 0.15 × 200 = 30. Our calculator handles this automatically when you enter both values.

To find what percentage X is of Y, divide X by Y and multiply by 100: Percentage = (X / Y) × 100. For example, to find what percentage 30 is of 200: (30 / 200) × 100 = 15%. So 30 is 15% of 200.

To add a percentage: New Value = Original × (1 + Percentage/100). To subtract: New Value = Original × (1 - Percentage/100). For example, adding 20% to 100 = 100 × 1.20 = 120. Subtracting 20% from 100 = 100 × 0.80 = 80.