Comparing Percents, Fractions, & Decimals Examples

Which is larger: 0.722 or 73%?

Pop 'em both into the same form to compare. We'll use decimals this time.

0.722 = 0.722

73% = 0.73

As usual, just pull that decimal point two spots to the left to turn 73% into 0.73. So which is bigger?

0.73 is larger than 0.722, so 73% is the big cheese here.

Order the following from least to greatest:

, 0.3, , 28%

In this problem, we can choose which form to convert to. For this one, we like decimals:

Now that all the numbers are on equal footing, so to speak (i.e. they're all in decimals), we can put these in order:

0.25, 0.28, 0.30, 0.333...

or

75% of all statistics are made up on the spot. If  of the articles in today's paper had statistics, what percent of the total articles had statistics that were made up?

Heads up: we need to be sure to phrase our answer as a percent, 'cause that's what the problem asked for.

We need to find  .

If we write each as a decimal:

0.75 × 0.6 = 0.45

We need to phrase our answer as a percent, so 0.45 = 45%.