Percentage Calculator

Instantly calculate percentages, find the percentage change between two numbers, or see what percent of a number another value is.

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How to Calculate Percentages

Percentages are a core part of everyday math, used for everything from figuring out a tip at a restaurant to analyzing financial growth. This calculator simplifies the process by offering three distinct tools.

1. Find the Percentage of a Number

To calculate a percentage of a number, you simply multiply the base number by the percentage fraction.

Formula: (Percentage / 100) × Value

Example: What is 20% of 150?

  • Convert 20% to a decimal: 20 / 100 = 0.2
  • Multiply by 150: 0.2 × 150 = 30

2. Find What Percentage One Number Is of Another

This mode answers questions like "50 is what percent of 200?". It's useful for calculating test scores or completion rates.

Formula: (Part / Whole) × 100

Example: 50 is what % of 200?

  • Divide the part by the whole: 50 / 200 = 0.25
  • Multiply by 100 to get the percentage: 0.25 × 100 = 25%
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3. Calculate Percentage Increase or Decrease

Use this to find the relative change between two values over time.

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

Example: A price goes from $50 to $60.

  • Find the difference: 60 - 50 = 10
  • Divide by the original value: 10 / 50 = 0.2
  • Multiply by 100: 0.2 × 100 = 20% Increase

Frequently Asked Questions

What is the formula for percentage?

The basic formula is P% * X = Y, where P is the percentage, X is the base number, and Y is the result. To find the percentage itself, use (Part/Whole) * 100.

How do I calculate a 20% tip?

To calculate a 20% typical tip, move the decimal point of your bill one place to the left to get 10%, then double that number. For a $50 bill, 10% is $5, so 20% is $10.

Is this calculator accurate?

Yes, our calculator uses precise standard mathematical floating-point arithmetic. It is suitable for academic, financial, and daily use.