Percents, Fraction, and Decimals

Percentages refer to fractions of a whole; “that is”, the percentage is how much of the whole thing you have. For instance, “50%”means “½”, “25%” means “¼” etc.

Percent is actually per cent, meaning out of a hundred.

Decimal to Percent

Decimal to Percent conversions are easy; just move the decimal point two places to the right.  For example:

 0.25 = 25%

2.55 = 255%

0.0075 = 0.75%

Note: That 0.75% is less than one percent. It should not be confused with 75%, which is 0.75 as a decimal.

Percent to Decimal

Percent to Decimal conversions are easy; just move the decimal point two places to the left.  For example:

 34% = 0.34

106% = 1.06

0.5% = 0.005

Percent to fraction

Percent to fraction conversions aren’t too bad. Convent the percent to a decimal first, and then to a fraction. For example:

Now simply the fraction:

Most conversions are easy like the above, but some require a little extra care. For example:

Other examples: