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Algebra 1 : How to find the part from the whole with percentage

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Example Question #21 : Whole And Part

What number is 25% of 80?

Possible Answers:

Correct answer:

Explanation:

To solve this problem, we set up a proportion. We are looking for the number which is 25% of 80, thus we set up 25/100 = x/80. We set up this proportion so that the "wholes" are on the same side of the fraction. Then we simplify the left side (since 25/100 = 1/4) to make our arithmetic a bit easier. We now have 1/4 = x/80. Cross multiplying, we get 80 = 4x. Dividing both sides by 4, we get x = 20.

25% = 25/100

$\frac{25}{100}=\frac{x}{80}$

$\frac{1}{4}=\frac{x}{80}$

(1)(80) = (4)(x)

$\frac{80}{4}=\frac{4x}{4}$

20=x

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Example Question #1 : How To Find The Part From The Whole With Percentage

14% of 50 is _____?

Possible Answers:

Correct answer:

Explanation:

$14\%=\frac{14}{100}$

Divide numerator and denominator by 2 and you get $\frac{7}{50}$ , so 7 is 14% of 50.

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Example Question #1 : How To Find The Part From The Whole With Percentage

Julie made 500 handbags last year. She gave 15 away and sold 185. What percentage of the 500 handbags crafted does she still have in her inventory?

Possible Answers:

$55\%$

$45\%$

$40\%$

$60\%$

$50\%$

Correct answer:

$60\%$

Explanation:

Inventory = 500-15-185=300

$Percentage=\frac{300}{500}=.6=60\%$

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Example Question #1 : How To Find The Part From The Whole With Percentage

What is 35% of 200?

Possible Answers:

Correct answer:

Explanation:

To find 35% of 200, we just need to multiply

(200)(0.35)

This gives us our answer, 70. Alternatively, we could realize instinctively that 35% of 100 is 35, and then double it to get the same answer.

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Example Question #31 : Whole And Part

What is 64% of 86?

Possible Answers:

112

Correct answer:

Explanation:

First, write 64% as a decimal. Just move the decimal point of 64% two digits to the left and then eliminate the % so that we get 0.64. Thus, 64%=0.64. Then multiply that 0.64 by 86

$0.64\times 86=55$

So 55 is 64% of 86.

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Example Question #1 : How To Find The Part From The Whole With Percentage

Wendy and Bob are cleaning their house at the same speed. Working together, they can clean the house in 8 hours. What percentage of the house can Wendy clean in 4 hours if she is cleaning by herself?

Possible Answers:

25%

Correct answer:

25%

Explanation:

It takes Bob and Wendy 8 hours to clean the entire house, for a total of 16 man-hours. This means that one hour of cleaning by one person will clean $\frac{1}{16}$ of the house, or 6.25%. Thus, Wendy can clean 25% of the house by herself in 4 hours.

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Example Question #1 : How To Find The Part From The Whole With Percentage

What is $34\%$ of 492 , rounded to the nearest tenth?

Possible Answers:

49.2

167.3

93.4

16728

Correct answer:

167.3

Explanation:

Convert 34% to a decimal: 0.34

Multiply 0.34 by 492: 167.28

Round to the nearest tenth: 167.3

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Example Question #1 : How To Find The Part From The Whole With Percentage

Choose the correct answer.

What is $\small 30\%$ of $\small 100$ .

Possible Answers:

$\small 35$

$0\small .70$

$\small 30$

$\small 300$

$0\small .30$

Correct answer:

$\small 30$

Explanation:

To find a part of the whole number, you multiply the percentage in decimal form against the whole number. The first step is to convert the percentage into a decimal, $\small 30\%$ to $0\small .30$ . Then multiply the decimal against the whole number, $0\small .30\times100 = 30$ .

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Example Question #31 : Whole And Part

Select the correct answer.

What is $\small 75\%$ of $\small 200$ .

Possible Answers:

$\small 1500$

$0\small .15\%$

350

$\small 100$

$\small 150$

Correct answer:

$\small 150$

Explanation:

To find the part of the whole, first convert the percentage to a decimal, $\small 75\%$ to $0\small .75$ , then multiply the decimal against the whole number given, $0\small .75\times 200$ , resulting in $\small 150$ . Alternatively, we know that $\small 75\%$ is equal to $\small \frac{3}{4}$ , so we could divide the whole number, $\small 200$ , into four equal parts, which would be $\small 50$ . Since we need $\small \frac{3}{4}$ (three quarters), we multiply $\small 50$ $\small \times4$ , resulting in $\small 150$ .

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Example Question #3 : How To Find The Part From The Whole With Percentage

If $0\small .304$ of the student body is female, what is the percentage of males?

Possible Answers:

$\small 69.6\%$

$\small 30.4\%$

$\small 69.4\%$

$0\small .15\%$

$\small 14$

Correct answer:

$\small 69.6\%$

Explanation:

If $0\small .304$ of the student body is female, this is equivalent to $\small 30.4\%$ . Since $\small 100\%$ is the whole, $\small 100\% - 30.4\% = 69.6\%$ . Thus $\small 69.6\%$ is not female.

Alternatively, if $0\small .304$ is not male, then the rest must be male, so $\small 1 - 0.304 =$ $\small 0.696$ . Then we can convert that decimal to a percentage, $\small 69.4\%$ .

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Algebra 1 : How to find the part from the whole with percentage

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #21 : Whole And Part

Example Question #1 : How To Find The Part From The Whole With Percentage

Example Question #1 : How To Find The Part From The Whole With Percentage

Example Question #1 : How To Find The Part From The Whole With Percentage

Example Question #31 : Whole And Part

Example Question #1 : How To Find The Part From The Whole With Percentage

Example Question #1 : How To Find The Part From The Whole With Percentage

Example Question #1 : How To Find The Part From The Whole With Percentage

Example Question #31 : Whole And Part

Example Question #3 : How To Find The Part From The Whole With Percentage

All Algebra 1 Resources

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