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ISEE Middle Level Math : How to find the part from the whole with percentage

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Example Questions

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Example Question #41 : How To Find The Part From The Whole With Percentage

What is $17 \frac{1}{2} \%$ of $17 \frac{1}{2}$ ?

Possible Answers:

100

$30 \frac{5}{8}$

$306 \frac{1}{4}$

$3\frac{1}{16}$

Correct answer:

$3\frac{1}{16}$

Explanation:

$17 \frac{1}{2} \%$ of $17 \frac{1}{2}$ can be rewritten as

$\frac{17 \frac{1}{2} }{100} \times 17 \frac{1}{2}$

$= \frac{35}{2} \times \frac{1}{100} \times \frac{35}{2}$

$= \frac{35 \times 1 \times 35}{2 \times 100 \times 2}$

$= \frac{1,225}{400} = \frac{1,225 \div 25}{400\div 25} = \frac{49}{16} = 3 \frac{1}{16}$

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Example Question #41 : How To Find The Part From The Whole With Percentage

What is 1,800% of 0.00018?

Possible Answers:

10,000

1,000,000

0.0001

0.00324

0.324

Correct answer:

0.00324

Explanation:

1,800% of 0.00018 is equal to

$\frac{1,800}{100} \times 0.00018 = 18 \times 0.00018 = 0.00324$ .

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Example Question #42 : How To Find The Part From The Whole With Percentage

What is 1.11% percent of 1.11?

Possible Answers:

0.012321

100

0.12321

0.0012321

Correct answer:

0.012321

Explanation:

Taking 1.11% percent of a number is the same as multiplying it by 0.0111, so

1.11% percent of 1.11 is equal to

$0.0111 \times 1.11 = 0.012321$ .

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Example Question #44 : How To Find The Part From The Whole With Percentage

If 0.2 is $20\%$ of , what is the value of 5x + 1 ?

Possible Answers:

Correct answer:

Explanation:

If 0.2 is $20\%$ of , that means that x=1 . When we plug 1 into 5x+1 , the result is .

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Example Question #43 : How To Find The Part From The Whole With Percentage

King Middle School has 320 students enrolled in the 7th grade. Sixty percent of the 7th graders at King are girls. How many 7th grade girls are enrolled at King Middle School?

Possible Answers:

150

170

192

200

Correct answer:

192

Explanation:

When given the quantity of the whole, you can determine a part using a percentage by converting the percentage to a decimal and multiplying the whole by that decimal.

$320\times0.60=192$

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Example Question #901 : Numbers And Operations

What is 60% of 300?

Possible Answers:

1800

180

Correct answer:

180

Explanation:

Substitute in the proportion:

$\frac{part}{whole} = \frac{x}{300}$

$\frac{percent}{100} = \frac{60}{100}$

$\frac{x}{300} = \frac{60}{100}$

Cross multiply:

18,000 = 100x

x = 180

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Example Question #902 : Numbers And Operations

What number is 85% of 560?

Possible Answers:

376

476

475

Correct answer:

476

Explanation:

To determine the number that is 85% of 560, convert the percentage to a decimal:

$85\%=\frac{85}{100}=0.85$

Then multiply:

$560 \times 0.85 = 476$

The correct answer is 476

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Example Question #233 : Percentage

What is $30\%$ of 150 ?

Possible Answers:

120

Correct answer:

Explanation:

To find a percentage of a whole, we will first write the percentage as a fraction. We know that all percentages can be written as a number over 100. So,

$30\% = \frac{30}{100}$

Now, we will multiply the fraction by the whole number. We get

$\frac{30}{100} \cdot 150$

Now, we can simplify/multiply.

We write 150 as a fraction over 1.

$\frac{30}{100} \cdot \frac{150}{1}$

We can cancel out the zero in 150 and the zero in 100.

$\frac{30}{10} \cdot \frac{15}{1}$

We can cancel out the zero in 30 and the zero in 10.

$\frac{3}{1} \cdot \frac{15}{1}$

Now, we can multiply.

$\frac{3 \cdot 15}{1 \cdot 1}$

$\frac{45}{1}$

Therefore, $30\%$ of 150 is .

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Example Question #602 : Arithmetic

What is the sale price of a product that costs $\$500$ if the sale is $40\%$ off the original price?

Possible Answers:

$\$300$

$\$700$

$\$540$

$\$200$

$\$800$

Correct answer:

$\$300$

Explanation:

First, find $40\%$ of $\$500$ :

$0.4\cdot \$500=\$200$

Then, subtract this value from the whole:

$\$500-\$200=\$300$

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Example Question #901 : Numbers And Operations

What is $30\%$ of 270 ?

Possible Answers:

100

240

Correct answer:

Explanation:

To find a percentage of a whole, we will multiply the percentage by the whole number. So,

$30\%$ of 270

can be written as

$30\% \cdot 270$

We know that a percentage can be written as a fraction over 100. So,

$\frac{30}{100} \cdot 270$

Now, we can solve.

$\frac{30}{100} \cdot \frac{270}{1}$

We can cancel out the zero in 30 and the zero in 100.

$\frac{3}{10} \cdot \frac{270}{1}$

We can cancel out the zero in 10 and the zero in 270.

$\frac{3}{1} \cdot \frac{27}{1}$

Now, we multiply.

$\frac{3 \cdot 27}{1 \cdot 1}$

$\frac{81}{1}$

Therefore, $30\%$ of 270 is .

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ISEE Middle Level Math : How to find the part from the whole with percentage

Study concepts, example questions & explanations for ISEE Middle Level Math

All ISEE Middle Level Math Resources

Example Questions

Example Question #41 : How To Find The Part From The Whole With Percentage

Example Question #41 : How To Find The Part From The Whole With Percentage

Example Question #42 : How To Find The Part From The Whole With Percentage

Example Question #44 : How To Find The Part From The Whole With Percentage

Example Question #43 : How To Find The Part From The Whole With Percentage

Example Question #901 : Numbers And Operations

Example Question #902 : Numbers And Operations

Example Question #233 : Percentage

Example Question #602 : Arithmetic

Example Question #901 : Numbers And Operations

All ISEE Middle Level Math Resources

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