How to compare fractions, decimals and percentages

Snoot, Fin and Plimble use fractions, decimals and percentages when fueling their saucer.

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

For example

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.

For example

0.04 is the same as 4/100

0.07 is the same as 7/100