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Percentage Calculator

Free online Percentage Calculator -- find a percentage of a number, calculate percentage increase or decrease, compute percentage change, and determine percentage difference. Instant results with formulas and examples.

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Reviewed & Methodology

Every calculator is built using industry-standard formulas, validated against authoritative sources, and reviewed by a credentialed financial professional. All calculations run privately in your browser - no data is stored or shared.

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How to Use the Percentage Calculator

  1. 1. Enter Value A - type the first number (percentage value or starting number depending on the operation).
  2. 2. Enter Value B - type the second number (the base number or comparison value).
  3. 3. Read all four results - the calculator instantly shows A% of B, what percent A is of B, percentage change from A to B, and percentage difference.
  4. 4. Swap or adjust values - change either input to compare scenarios like different tip percentages or discount rates.
  5. 5. Copy results - use the results for homework, budgeting, reports, or share a link to your calculation.

Percentage Calculator

This calculator handles the four most common percentage operations in one tool: find a percentage of a number, determine what percent one number is of another, calculate percentage change, and compute percentage difference. Enter two values and get all four results instantly.

How Percentages Are Calculated

The calculator uses four standard formulas with your two input values, A and B:

  • A% of B = (A / 100) x B
  • A is what % of B = (A / B) x 100
  • % Change from A to B = ((B - A) / |A|) x 100
  • % Difference = (|A - B| / ((|A| + |B|) / 2)) x 100

Percentage change measures directional shift (increase or decrease), while percentage difference measures the relative gap between two values regardless of direction.

Example

Value AValue BA% of BA is % of B% Change (A to B)% Difference
252005012.5%+700%155.6%
15801218.75%+433.3%136.8%
504020125%-20%22.2%

Key Factors in Percentage Calculations

  • Direction matters for % change — going from 50 to 100 is a +100% increase, but 100 to 50 is only a -50% decrease
  • Base value — percentage of and percentage change both depend heavily on which number is used as the base
  • Zero values — percentage change from zero is mathematically undefined
  • Negative values — the calculator handles negatives correctly, but results may be less intuitive

Tips

  1. For discounts and sales tax, use the “A% of B” result — for example, 20% of $85 = $17 discount
  2. To calculate a tip, enter the tip percentage as Value A and the bill amount as Value B
  3. Use percentage change to track investment performance, weight loss, or any before-and-after comparison
  4. Percentage difference is best for comparing two independent measurements, such as prices at different stores

Frequently Asked Questions

What is the formula for calculating a percentage of a number?
To find a percentage of a number, multiply the number by the percentage and divide by 100. The formula is: Result = (Percentage / 100) x Number. For example, 25% of 200 is (25 / 100) x 200 = 50. This calculator handles this automatically -- enter the percentage as Value A and the number as Value B to see the result instantly.
How do I calculate percentage increase or decrease?
Percentage change is calculated with the formula: ((New Value - Old Value) / |Old Value|) x 100. A positive result means an increase and a negative result means a decrease. For example, if a stock goes from $80 to $100, the percentage increase is ((100 - 80) / 80) x 100 = 25%. Enter the old value as A and the new value as B to get the result.
How do I calculate a tip using percentages?
To calculate a tip, enter the tip percentage as Value A and the total bill as Value B, then read the 'A% of B' result. For example, for a 20% tip on a $65 dinner, enter 20 and 65 to get $13.00. Common tip rates are 15% for standard service, 18% for good service, and 20% or more for excellent service.
How do I calculate a discount price?
Enter the discount percentage as Value A and the original price as Value B. The 'A% of B' result tells you the discount amount in dollars. Subtract that from the original price to get the sale price. For example, 30% off a $150 item: 30% of 150 = $45 discount, so the sale price is $150 - $45 = $105.
What is the difference between percentage change and percentage difference?
Percentage change measures the directional shift from one value to another and depends on which value is the starting point -- going from 50 to 100 is a +100% increase, but 100 to 50 is a -50% decrease. Percentage difference measures the relative gap between two values without regard to direction, using the average of both values as the denominator. Use percentage change for before/after comparisons and percentage difference when comparing two independent measurements.

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