All about Percents Worksheet



All about Percents Worksheet

***Percent just means – out of every 100***

Percents you should know…

a. ½ b. ¼ c. 1/5 d. 1/10 e. 1/3

Try these mentally

a. What is 45% of 200? b. What is 125% of 300?

c. What is 18% of 150? d. What is 99% of 400?

Try it!

a. If you answered 36 out of 45 correct on a test and this trend continued, what was your percent grade? How many would you expect to answer correctly if the test was out of 100 questions? How many questions would you expect would be incorrect?

b. If 7 out of 15 people in the class are girls, what percentage are boys?

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Try it! Change each percent into a decimal

a. 9% b. 65% c. 445% d. 1.45% e. 0.061%

Try it! Change each into a percent.

a. 0.05 b. 0.9 c. 0.03 d. 2.57 e. 3.63 f. 6

Try it! Change each percent into a fraction.

a. 58% b. 30% c. 80% **d. [pic]%

Try it! Change each fraction into a percent.

a. [pic] b. [pic] c. [pic] d. [pic]

Try it! Find the percent increase or decrease.

a. From 92 to 9.7 b. From 63 to 98 c. From 84 to 4

d. From 54 m to 154 m **e. From 2 hours to 18 minutes

Try it!

a. Cost of a microscope: $269.95; Markup: 45%; Tax: 5%

b. Cost of an oil change: $19.95; Markup: 85%; Discount: 48%

c. Original price of a microphone: $49.99; discount: 50%; Tax: 5%

d. Cost of a pen: $1.95; Markup: 70%; Discount: 40%’ Tax 5%:

Try It!

a. What percent of 33.5 is 21?

b. 28% of 63 is what?

c. 1 is what percent of 52.6?

d. 4% of 73 is what?

e. 1124 minutes is 76% of what?

f. 16 inches is 35% of what?

g. What is 170% of 97 tons?

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To change from a percent into a decimal

1. Move the decimal two places to the left

or

2. Divide the percent by 100.

Example: Change 30% into a decimal.

30/100 = 0.30 = 0.3

To change from a decimal to a percent

1. Move the decimal two places to the right

or

2. Multiply by 100

Example: Change 0.006 into a percent.

0.006(100) = 0.6%

To change a percent to a fraction

Put the number over 100 and reduce.

Example: Change 70% into a fraction

[pic]

To change a fraction to a percent

Turn the fraction into a decimal. And then multiply by 100.

Example: Change [pic] into a percent.

[pic] = 0.125 and 0.125(100) = 12.5%

To find the percent change

Divide the now by the previous and subtract 1 (which is 100%)

Example: Find the percent increase or decrease from 75 to 45.

[pic] 0.6 – 1 = -0.4

There was a 40% decrease.

A Markup increases the price of an item. This occurs after the store buys an item from somewhere and then increases the price when they sell it to make a profit.

A discount will decrease the price of an item through a sale of some sort.

A tax will increase the price of an item after it has been marked up or discounted.

To find the final cost

Apply each markup, discount, and/or tax 1 at a time by either adding or subtracting the percentage from 100% and then multiplying it by the price.

Example: Find the final cost if original price of a lizard: $39.99; Discount: 40%; Tax: 6%

$39.99(0.6)=$23.99(1.06)= $25.43 or $39.99(0.6)(1.06) = $25.43

Is-Of Problems

1. Think of percents as meaning part out of a whole

% (as a decimal)[pic]

2. Decide if the answer is larger or smaller than the numbers given. Then multiply or divide the number accordingly. Multiplying by something less than a whole will make the answer smaller. Dividing by something less than a whole will make the answer larger.

Example

a. What percent of 29 is 3?

(3 is the part, 29 is the whole; the answer should be a percent less than 100)

% [pic] = 0.103448 [pic]

b. 41% of 78 is what?

(41 is the percent, 78 is the whole; the answer is smaller, so we multiply)

.41 = [pic] => x = .41(78) => x = 31.98

c. 58% of what is 63.4?

(58 is the percent, 63.4 is the part; the answer is the whole which is larger, so we divide)

[pic] => [pic] => [pic]

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