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Home/Formula Library/Percentage proportion

Percentage proportion

Relate a percent, a whole, and an amount — solve for any one when two are known.

General

  • Percentage proportion
  • Percent error
  • Ratio and proportion
  • Rounding
  • Exponentiation
  • Nth root
  • Fraction arithmetic
  • Long division
  • Order of operations (PEMDAS)

Formula

amount = (percent / 100) × whole

Explanation

A percentage is a ratio out of 100. Multiply the whole by percent÷100 to get the amount. Rearrange to find percent (amount÷whole×100) or the whole (amount÷(percent÷100)).

Variables

  • percentthe rate out of 100
  • wholethe reference quantity (100%)
  • amountthe portion that corresponds to the percent

When to use

Discounts, tips, tax, test scores, and any “what is X% of Y?” or “X is what percent of Y?” question.

Use this formula

Calculators

  • Percentage Calculator→

Related formulas

  • Percent errorpercent error = |observed − true| / |true| × 100%
  • Ratio and proportionA:B = C:D → A×D = B×C

Articles

  • How percentages work→

Other categories

  • Statistics
  • Cooking & apparel
  • Data & digital
  • Electricity & magnetism
  • Encodings & numbers
  • Date & time
Formula Library→

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