How to Convert Percentages, Decimals, and Fractions

October 12, 2022 Off By Zak Morris

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, “%”, or sometimes as “pct.” For example, 35% is equal to the decimal 0.35, or the fraction 35/100. To calculate a percentage, multiply the decimal by 100, or divide the fraction by its denominator and multiply by 100:

35% = 0.35 × 100 = 35/100 × 100 = 3.5 × 10

Converting from a Percentage To convert from a percentage to a decimal, divide by 100:

35% = 35/100 = 0.35

To convert from a percentage to a fraction, divide by 100 and reduce the fraction:

35% = 35/100 = 7/20 (reduced)

Converting from a Decimal To convert from a decimal to a percentage, multiply by 100:

0.35 = 0.35 × 100 = 35%

To convert from a decimal to a fraction, remove the decimal point and place it over the number’s power of ten, then reduce:

0.35 = 3.5 × 10-1 (move decimal point two places to the left) = 7/20 (reduced)

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About the author

I am Zak Morris, a 16-year-old entrepreneur from the UK. I started my website, Tutorial Agency, on the 14th of January, 2017. Tutorial Agency is a website where students and adults alike can find online tutorials for a variety of subjects. I came up with the idea for the website after struggling to find useful online tutorials myself. I wanted to create a platform where people could easily find and listen, read and watch tutorials.