# Percentage Calculator: Free Online Instant Calculation

Ian C. Langtree Content Writer/Editor for Disabled World
Published: 2013/12/12 - Updated: 2023/09/04
Publication Type: Conversion / Calculation
Contents: Summary - Main - Related Publications

Synopsis: Free online instant calculator for finding a percentage of a number as well as reverse percentage calculations. The percent value is computed by multiplying the numeric value of the ratio by 100. To calculate a percentage of a percentage, convert both percentages to fractions of 100, or to decimals, and multiply them.

Percentage

In mathematics, a percentage is a number or ratio expressed as a fraction of 100. The percentage is often denoted using the percent sign, %, or the abbreviation "pct." The word "percent" comes from "percent," which is short for "per centum," which means per hundred. In British English, the percent is sometimes written as two words "per cent" (although percentage and percentile are written as one word).

## Main Digest

The percent value is computed by multiplying the numeric value of the ratio by 100. For example, to find 50 apples as a percentage of 1250 apples, first, compute the ratio 50/1250 = 0.04, then multiply by 100 to obtain 4%. The percent value can also be found by multiplying first, so in this example, the 50 would be multiplied by 100 to give 5,000, and this result would be divided by 1250 to give 4%.

To calculate a percentage of a percentage, convert both percentages to fractions of 100 or decimals and multiply them. For example, 50% of 40% is calculated; (50/100) x (40/100) = 0.50 x 0.40 = 0.20 = 20/100 = 20%.

NOTE: It is incorrect to divide by 100 and use the percent sign simultaneously. E.g. 25% = 25/100 = 0.25, not 25% / 100, which actually is (25/100) / 100 = 0.0025. A term such as (100/100)% would also be incorrect; this would be read as 1 percent even if the intent was to say 100%. Other Examples:

• 1 percent (1%) = 1 part per 100 = 1/100 = 0.01 (a portion less than a whole)
• 100 percent (100%) = 100 parts per 100 = 100/100 = 1 (a portion equal to a whole)
• 110 percent (110%) = 110 parts per 100 = 110/100 = 1.1 (a portion greater than a whole)
 is what percent of Answer: %

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