3/2 as a Percent

How to convert 3/2 to a percent

1. Divide the top number by the bottom number: 3 ÷ 2 = 1.5.
2. Multiply by 100: 1.5 × 100 = 150%.

Shortcut: 2 goes into 100 exactly 50 times, so multiply the top and bottom by 50. 3/2 = 150/100 = 150%.

Where you will see 3/2

3/2 is one and a half, so it equals 150%. Something that is 3/2 the size of another is 50% bigger.

Time-and-a-half overtime pay is 3/2 of the normal hourly rate: $20 an hour becomes $30.

How 3/2 compares with nearby fractions

3/2 (150%) is a little more than 5/4 (125%) and a little less than 2 (200%). This is handy for estimating: if you remember the nearby benchmark, you can check that your answer is in the right range before you rely on it.

Check it in reverse

To go from the percent back to the fraction, write 150% over 100 and simplify. 150% = 150/100, which reduces back to 3/2.

3/2 of common amounts

Knowing that 3/2 is 150% lets you take that share of any number:

• 3/2 of 20 = 30
• 3/2 of 50 = 75
• 3/2 of 80 = 120
• 3/2 of 200 = 300

All the halves as percents

Other fractions as percents

• 6/7
• 1/8
• 1/6
• 4/5
• 3/5
• 5/8
• 5/4
• 5 1/5
• 2/5
• 1/5
• 1/3
• 4 3/4
• 4 1/4
• 3/8
• 1/4
• 5/7