How to compare fractions, decimals and percentages
What are percentages?
Per means "out of", cent means "100".
You might have seen "cent" as part of "centimetre". A centrimetre is one hundredth of a metre.
Percent means "out of 100" and percentages are shown with the symbol %
So when you see something written as % that means it is a number out of 100.
For example 30% is 30 out of 100.
Percentages and fractions.
Percentages are a bit like fractions with the number of percent on top and 100 underneath.
So 30% is the same as 30/100.
You can sometimes make fractions easier to work with by dividing top and bottom by the same amount.
30 and 100 both divide by 10, so 30/100 = 3/10
What about decimals?
Decimals (or decimal fractions) are written using numbers and a dot. Numbers to the left of the dot are whole numbers.
In 3.0 the 3 just means 3.
Numbers to the right of the dot are parts of a number.
The number one space after the dot is that many tenths of one, so these are like tenths
0.2 is the same as 2/10
0.5 is the same as 5/10
The number two spaces after the dot is that many hundredths of one.
0.04 is the same as 4/100
0.07 is the same as 7/100