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Understanding Percents
Fractions, Decimals and Percents
% less than 1 or greater than 100
% of a #
Finding the Whole
100

What is the missing value.

What is 6/10 as a percent?

60%

Because 6/10=60/100

100

How do you write 0.65 as a percent?

65%

Because 0.65 is = to 65/100 which is out of 100

100

0.4/100%=

0.4/100%= 4/1000

Because 0.4%= 0.4/100 and you need to multiply it by 10 to get rid of the decimal point.

100

What is 50% of 80?

40

Because 50% is half. 

100

10% of what number is 20?

10/100= 20/n?

n=200

Because 10n= 2000. (Divide both sides by 10 to solve for n)

200

what is 4/100 as a percent?

4% 

Because the denominator is already out of 100 so the numerator becomes the % 

200

Write 0.09 as a percent.

9%

Because in 0.09, the 9 is in the hundredths place so it's = to 9/100

200

What is 225% as a simplified fraction?

 9/5 or 1 4/5

Because 225%= 225/100 (numerator and denominator are both divisible by 25)

200

What is 20% of $75?

$15

Because 20%=0.20

.20 x 75= 15

200

25% of what number is 45?

25/100= 45/n?

n= 180


Because 25n= 4500 (divide both sides by 25 to solve for n)

300

What is 2/5 as a percent?

40%

Because 2/5=4/10=40/100

300

Write 20/40 as a percent.

50%

Because 20/40 simplifies to 1/2.

300

What is 645% as a decimal?

6.45

300

What is 16 out of 40 as a percent?

40%

16/40 simplifies to 4/10 which is equal to 40/100

or 

16 divided by 40 = 0.4= 0.40= 40%

300

 40% of what number is 16?


40/100= 16/n

40n= 1600

n= 40

400

What is 8/25 as a percent?

32% 

Because 8/25= 32/100 

400

Write 17/50 as a percent.

34%

400
Write 85/10,000 as a decimal. 

0.0085

400

What is 56% of 250

140

Because 0.56 x 250= 140

400
300% of what number is 180?

300/100= 180/n

300n= 18000

n= 60

500

Write 45% as a fraction in simplest form.

9/20

Because 45 and 100 both share a common factor of 5, so when you divide 45/100 by 5 on top and bottom you get 9/20.

500

If you have 15 pillows, and 5 of them are red, 3 of them are green, 4 are blue and 3 are orange. 

How many are NOT orange? 

Write it as a fraction in simplest form and as a decimal.

4/5 and 0.8 or 0.80

500

Write 3/5% as a decimal.

0.006


Because 3/5%= 6/10%= 0.6/100= 6/1000= 0.006

500

A new bike costs $60. You have a 15% off coupon. What will the new price of the bike be after you take off the discount?


$51.00

Because 

15% of 60

0.15 x 60= $9.00

$60.00 - $9.00= $51.00

500

Frank was selling cups of lemonade with his friends. He sold 80% of his total cups. He sold a total of 24 cups. How many total cups did he start with?

80/100= 24/n

80n= 2400

n= 30

Frank started with a total of 30 cups.