One Amount as a Percentage of Another Amount

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Question 1 of 5

What percentage

$(%)$ of

$247$ is

$83$ ?

Round your answer to one decimal place

(33.6) $%$

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To understand the problem better, draw a line diagram and list down the values as shown below.

$\text(Known value)=83$

$\text(Total value)=247$

$\text(Percentage of total value)=100%$

$\text(Percentage of known value)=?$

$\text(Proportion Method)$

To find the missing value, cross-multiply the fraction of the percentages by the fraction of the given and total value.

Let the percentage of the amount be $r$ .

$\frac{\color{#00880A}{83}}{\color{#9a00c7}{247}}$	$=$	$\frac{\color{#007DDC}{r}}{\color{#e85e00}{100}}$

$247timesr$	$=$	$83times100$	Cross multiply
$247r$	$=$	$8300$
$247r$ $divide247$	$=$	$8300\color{#CC0000}{\div247}$	Divide both sides by $247$

$r$	$=$	$33.6$	Rounded to one decimal place

Hence,

$83$ is $\underline{\color{#007DDC}{33.6\%}}$ of

$247$ .

$33.6%$

$\text(Fraction Method)$

To find the missing value, simply multiply the fraction of the known values by

$100$ .

The fraction can be written as the known value

$($ $83$

$)$ over the total value

$($ $247$

$)$ .

	$\frac{\color{#00880A}{83}}{\color{#9a00c7}{247}}\times100$

$=$	$83/247times100/1$	Convert values to fraction form
$=$	$\frac{8300}{247}$

$=$	$33.6$	Rounded to one decimal place

Hence,

$83$ is $\underline{\color{#007DDC}{33.6\%}}$ of

$247$ .

$33.6%$

Question 2 of 5

What percentage

$(%)$ of

$600 \text(kg)$ is

$18 \text(kg)$ ?

(3) $%$

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First, use a rectangle and list down the values: percentages on the left side and amounts on the right side.

$\text(Known value)=18 \text(kg)$

$\text(Total value)=600 \text(kg)$

$\text(Percentage of total value)=100%$

$\text(Percentage of known value)=?$

$\text(Proportion Method)$

To find the missing value, cross-multiply the fraction of the percentages by the fraction of the given and total value.

Let the percentage on the amount be $r$

$\frac{\color{#007DDC}{r}}{\color{#e85e00}{100}}$	$=$	$\frac{\color{#00880A}{18}}{\color{#9a00c7}{600}}$

$600timesr$	$=$	$18times100$	Cross multiply
$600r$	$=$	$1800$
$600r$ $divide600$	$=$	$1800\color{#CC0000}{\div600}$	Divide both sides by $600$

$r$	$=$	$\frac{1800}{600}$	Simplify

$r$	$=$	$3$

Hence,

$18 \text(kg)$ is $\underline{\color{#007DDC}{3\%}}$ of

$600 \text(kg)$ .

$3%$

$1% \text(Method)$

First, find the

$1%$ of the total value

$($ $600$

$)$ by dividing the total amount by

$100$ .

$1%$	$=$	$600$ $divide100$
	$=$	$6$

Hence,

$1%$ of the original amount is

$6 \text(kg)$ .

To find the percentage of the given amount, multiply the

$1%$ value, which is

$6$ , by a value to get it to $18$ .

Multiplying

$6$ by

$3$ will make it $18$

$1%$	$=$	$6$
$1%$ $times3$	$=$	$6$ $times3$	Multiply both sides by $3$
$3%$	$=$	$18$

Hence,

$18 \text(kg)$ is $\underline{\color{#007DDC}{3\%}}$ of

$600 \text(kg)$ .

$3%$

Question 3 of 5

3. Question
What is $5 \text(kg)$ of fish as a percentage $(%)$ of $250 \text(kg)$ of fish?
- (2) $%$
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First, summarise the data for easier understanding of the problem.

$\text(Given weight)=5 \text(kg)$

$\text(Total weight)=250 \text(kg)$

$\text(Percentage of total value)=100%$

$\text(Percentage of given weight)=?$

To find the missing value, simply multiply the fraction of the known values by $100$ .

The fraction can be written as the given weight $($ $5$ $)$ over the total value $($ $250$ $)$ .

$\frac{\color{#00880A}{5}}{\color{#9a00c7}{250}}\times100$

$=$ $5/250times100/1$ Convert values to fraction form

$=$ $\frac{500}{250}$

$=$ $2$

Hence, $5 \text(kg)$ is $\underline{\color{#007DDC}{2\%}}$ of $250 \text(kg)$ .

$2%$

Question 4 of 5

What percentage

$(%)$ of

$$150$ is

$$12$ ?

(8) $%$

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First, summarise the data and draw a diagram for easier understanding of the problem

$\text(Given amount)=$12$

$\text(Total amount)=$150$

$\text(Percentage of total value)=100%$

$\text(Percentage of given amount)=?$

$\text(Proportion Method)$

To find the missing value, cross-multiply the fraction of the percentages by the fraction of the given and total value.

Let the percentage of the amount be $r$

$\frac{\color{#00880A}{12}}{\color{#9a00c7}{150}}$	$=$	$\frac{\color{#007DDC}{r}}{\color{#e85e00}{100}}$

$150timesr$	$=$	$12times100$	Cross multiply
$150r$	$=$	$1200$
$150r$ $divide150$	$=$	$1200\color{#CC0000}{\div150}$	Divide both sides by $150$

$r$	$=$	$\frac{120}{15}$	Simplify

$r$	$=$	$8$

Hence,

$$12$ is $\underline{\color{#007DDC}{8\%}}$ of

$$150$ .

$8%$

$\text(Fraction Method)$

To find the missing value, simply multiply the fraction of the known values by

$100$ .

The fraction can be written as the known value

$($ $12$

$)$ over the total value

$($ $150$

$)$ .

	$\frac{\color{#00880A}{12}}{\color{#9a00c7}{150}}\times100$

$=$	$12/150times100/1$	Convert values to fraction form
$=$	$\frac{1200}{150}$

$=$	$\frac{120}{15}$	Simplify

$=$	$8$

Hence,

$$12$ is $\underline{\color{#007DDC}{8\%}}$ of

$$150$ .

$8%$

Question 5 of 5

If you spend

$20%$ of your savings to buy a

$$1200$ laptop, how much is your total savings?

$$$ (6000)

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First, use a rectangle and list down the values: percentages on the left side and amounts on the right side.

$\text(Known value)=1200$

$\text(Percentage of known value)=20%$

$\text(Percentage of total value)=100%$

$\text(Total value)=?$

To find the missing value, cross-multiply the fraction of the percentages by the fraction of the given and total value.

Let the original amount be $x$

$\frac{\color{#007DDC}{20}}{\color{#e85e00}{100}}$	$=$	$\frac{\color{#00880A}{1200}}{\color{#9a00c7}{x}}$

$20timesx$	$=$	$1200times100$	Cross multiply
$20x$	$=$	$120{,}000$
$20x$ $divide20$	$=$	$120{,}000\color{#CC0000}{\div20}$	Divide both sides by $20$

$x$	$=$	$\frac{12{,}000}{2}$	Simplify

$x$	$=$	$6000$

Hence, the total savings is $\underline{\color{#9a00c7}{$6000}}$

$$6000$

One Amount as a Percentage of Another Amount

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	$\frac{\color{#00880A}{5}}{\color{#9a00c7}{250}}\times100$

$=$	$5/250times100/1$	Convert values to fraction form
$=$	$\frac{500}{250}$

$=$	$2$