Percentage Calculator

Our Percentage Calculator quickly calculates percentages, percentage increases, decreases, differences, and ratios. It is useful for finance, academics, shopping discounts, and everyday calculations.

Find the value that equals a given percentage of a number.

e.g. 25 for 25%
The base number
Result
50
%
Formula
25% × 200 = 50
Breakdown
Percentage
25%
Base value
200
Result
50
Remaining
150

Quick Reference

  • X% of YDiscount, tip, tax calculations
  • % ChangePrice changes, growth rates
  • % DifferenceComparing two independent values
  • X of Y = ?%Score out of total, market share
  • IncreaseMarkup, salary raise, price hike
  • DecreaseSale price, reduction, markdown

Common Formulas

  • X% of Y: (X ÷ 100) × Y
  • % Change: ((New − Old) ÷ |Old|) × 100
  • % Difference: |A − B| ÷ ((A + B) ÷ 2) × 100
  • Part of Whole: (Part ÷ Whole) × 100
  • After increase: Value × (1 + Rate ÷ 100)
  • After decrease: Value × (1 − Rate ÷ 100)
All Math Calculators
Math · Percentages & Ratios

Percentage Calculator: Calculate Percentages

A comprehensive guide to percentage calculations and applications

Percentages are everywhere in daily life—from discounts and tips to grades and statistics. Understanding percentage calculations is essential for financial literacy, academic success, and making informed decisions in countless situations.

A Percentage Calculator performs various percentage operations including finding percentages of numbers, calculating percentage increases/decreases, and determining what percentage one number is of another. This tool is invaluable for students, shoppers, business owners, and anyone working with proportional relationships.

Mastering percentage calculations helps you understand proportions, compare quantities, and make sense of statistical data in everyday contexts.

Common Percentage Formulas

Percentage of a Number:
X% of Y = (X/100) × Y

Percentage Increase:
((New - Old) / Old) × 100%

Percentage Decrease:
((Old - New) / Old) × 100%

What Percentage is X of Y:
(X / Y) × 100%

Frequently Asked Questions

How do I calculate a percentage of a number?

Multiply the number by the percentage expressed as a decimal. For example, 20% of 50 = 50 × 0.20 = 10.

What's the difference between percentage increase and percentage decrease?

Percentage increase measures growth from an original value. Percentage decrease measures reduction from an original value. Both are calculated relative to the original value.

How do I convert a fraction to a percentage?

Divide the numerator by the denominator, then multiply by 100. For example, 3/4 = 0.75 × 100 = 75%.

Can percentages be greater than 100%?

Yes, percentages can exceed 100% when a quantity is more than the reference value. For example, 200% represents double the original amount.

Conclusion

Use the Percentage Calculator for quick, accurate percentage calculations. Mastering percentages is essential for financial literacy and everyday mathematics.

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