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Converting Between Percents, Decimals, and Fractions                       Page 2 of 3

Changing  Decimals to Percents

Remember, a percent means "per 100."  For example, 35% means 35 out of 100. This can be written as the fraction 35/100.  We can go the other way around and rewrite the fraction as a percent.  If we have 28/100, that means 28 out of 100, which is the same as 28%.  

​If we can get the decimal written as a fraction with 100 as the denominator, the top number will be the percent.
How to convert a decimal to a percent.

You can rewrite the decimal as a fraction first if you want to change it to a percent. You might have to multiply or divide the numerator by a power of 10 if your decimal doesn't end at the hundredths place.
How to change a decimal to a percent by rewriting as a fraction with a denominator of 100.

​There's nothing wrong with this method, but there is a faster way.  Did you notice a shortcut?  .12 = 12% and .371 = 37.1%.  What do you notice about the decimal point?  It just moves 2 places over to the right!


You can use this shortcut each time to change the decimal to a percent.  Just move the decimal over two places to the right.  
How do you change a decimal into a percent? Long way and shortcut method to converting decimals to percentages.




Here are a few additional examples that use the shortcut method. 
How to change a decimal to a percent by moving the decimal 2 places to the right.
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