Percent of an Amount 2

Years

Year 11

Percentages

Percent of an Amount

Percent of an Amount 2

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Question 1 of 4

What is

22 %

$22%$ of

600 L

$600 \text(L)$ ?

(132) $L$ $\text(L)$

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A percentage describes an amount’s relation to a whole. Dividing it by

100

$100$ converts it into a fraction.

Method One

To get the percentage of an amount, simply solve for their product. Use fractions for easier computation.

	$22 % \times 600$ $22%times600$

$=$ $=$	$\frac{22}{100} \times \frac{600}{1}$ $22/100times600/1$	Convert to fraction form

$=$ $=$	$\frac{13200}{100}$

$=$ $=$	$\frac{132}{1}$	Simplify

$=$ $=$	$132$ $132$

Hence,

22 %

$22%$ of

600 litres

$600 \text(litres)$ is $\underline{132\;\text{L}}$

132

$132$

L

$\text(L)$

Method Two

First, convert the percentage into a decimal by dividing the percentage value by

100

$100$ .

Since the decimal is being divided by

100

$100$ , simply move the decimal point $2$ $2$ places to the left.

Finally, multiply the decimal value by the whole amount.

$Percentage$ $\text(Percentage)$	$=$ $=$	$0.22 \times 600$ $0.22times600$
	$=$ $=$	$132$ $132$

Hence,

22 %

$22%$ of

600 litres

$600 \text(litres)$ is $\underline{132\;\text{L}}$

132

$132$

L

$\text(L)$

Question 2 of 4

2. Question
What is $14 %$ $14%$ of $97$ $97$ ?

Round your answer to two decimal places
- (13.58)
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A percentage describes an amount’s relation to a whole. Dividing it by $100$ $100$ converts it into a fraction.

Method One

To get the percentage of an amount, simply solve for their product. Use fractions for easier computation.

$14 % \times 97$ $14%times97$

$=$ $=$ $\frac{14}{100} \times \frac{97}{1}$ $14/100times97/1$ Convert to fraction form

$=$ $=$ $\frac{1358}{100}$

Since the value is being divided by $100$ $100$ , simply move the decimal point $2$ $2$ places to the left.

Hence, $14 %$ $14%$ of $97$ $97$ is $\underline{13.58}$

$13.58$ $13.58$

Method Two

First, convert the percentage into a decimal by dividing the percentage value by $100$ $100$ .

Since the decimal is being divided by $100$ $100$ , simply move the decimal point $2$ $2$ places to the left.

Finally, multiply the decimal value by the whole amount.

$Percentage$ $\text(Percentage)$ $=$ $=$ $0.14 \times 97$ $0.14times97$

$=$ $=$ $13.58$ $13.58$

Hence, $14 %$ $14%$ of $97$ $97$ is $\underline{13.58}$

$13.58$ $13.58$

Question 3 of 4

What is

12 %

$12%$ of

50

$50$ apples?

(6) $apples$ $\text(apples)$

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A percentage describes an amount’s relation to a whole. Dividing it by

100

$100$ converts it into a fraction.

To get the percentage of an amount, simply solve for their product. Use fractions for easier computation.

	$12 % \times 50$ $12%times50$

$=$ $=$	$\frac{12}{100} \times \frac{50}{1}$ $12/100times50/1$	Convert to fraction form

$=$ $=$	$\frac{12}{10} \times \frac{5}{1}$ $12/10times5/1$	Simplify

$=$ $=$	$\frac{60}{10}$

$=$ $=$	$\frac{6}{1}$	Simplify

$=$ $=$	$6$ $6$

Hence,

12 %

$12%$ of

50

$50$ apples is $\underline{6\;\text{apples}}$

6

$6$

apples

$\text(apples)$

Question 4 of 4

4. Question
What is $350 %$ $350%$ of $9$ $9$ kilograms?
- (31.5) $kilograms$ $\text(kilograms)$
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A percentage describes an amount’s relation to a whole. Dividing it by $100$ $100$ converts it into a fraction.

To get the percentage of an amount, simply solve for their product. Use fractions for easier computation.

$350 % \times 9$ $350%times9$

$=$ $=$ $\frac{350}{100} \times \frac{9}{1}$ $350/100times9/1$ Convert to fraction form

$=$ $=$ $\frac{35}{10} \times \frac{9}{1}$ $35/10times9/1$ Simplify

$=$ $=$ $\frac{315}{10}$

Since the value is being divided by $10$ $10$ , simply move the decimal point $1$ $1$ place to the left.

Hence, $350 %$ $350%$ of $9$ $9$ kilograms is $\underline{31.5\;\text{kilograms}}$

$31.5$ $31.5$ $kilograms$ $\text(kilograms)$

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Quiz summary

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1. Question

Hint

Correct!

2. Question

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Excellent!

3. Question

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Well Done!

4. Question

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Well Done!

Quizzes

	$14 % \times 97$ $14%times97$

$=$ $=$	$\frac{14}{100} \times \frac{97}{1}$ $14/100times97/1$	Convert to fraction form

$=$ $=$	$\frac{1358}{100}$

$Percentage$ $\text(Percentage)$	$=$ $=$	$0.14 \times 97$ $0.14times97$
	$=$ $=$	$13.58$ $13.58$

	$350 % \times 9$ $350%times9$

$=$ $=$	$\frac{350}{100} \times \frac{9}{1}$ $350/100times9/1$	Convert to fraction form

$=$ $=$	$\frac{35}{10} \times \frac{9}{1}$ $35/10times9/1$	Simplify

$=$ $=$	$\frac{315}{10}$