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One Amount as a Percentage of Another Amount>
One Amount as a Percentage of Another AmountOne Amount as a Percentage of Another Amount
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Question 1 of 5
1. Question
What percentage (%)(%) of 247247 is 8383?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.Known value=83Known value=83Total value=247Total value=247Percentage of total value=100%Percentage of total value=100%Percentage of known value=?Percentage of known value=?Proportion MethodProportion MethodTo 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 rr.8324783247 == r100r100 247×r247×r == 83×10083×100 Cross multiply 247r247r == 83008300 247r247r÷247÷247 == 8300÷2478300÷247 Divide both sides by 247247 rr == 33.633.6 Rounded to one decimal place Hence, 8383 is 33.6%_33.6%−−−−− of 247247.33.6%33.6%Fraction MethodFraction MethodTo find the missing value, simply multiply the fraction of the known values by 100100.The fraction can be written as the known value ((8383)) over the total value ((247247)).83247×10083247×100 = 83247×1001 Convert values to fraction form = 8300247 = 33.6 Rounded to one decimal place Hence, 83 is 33.6%_ of 247.33.6% -
Question 2 of 5
2. Question
What percentage (%) of 600 kg is 18 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.Known value=18 kgTotal value=600 kgPercentage of total value=100%Percentage of known value=?Proportion MethodTo 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 rr100 = 18600 600×r = 18×100 Cross multiply 600r = 1800 600r÷600 = 1800÷600 Divide both sides by 600 r = 1800600 Simplify r = 3 Hence, 18 kg is 3%_ of 600 kg.3%1% MethodFirst, find the 1% of the total value (600) by dividing the total amount by 100.1% = 600÷100 = 6 Hence, 1% of the original amount is 6 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 181% = 6 1%×3 = 6×3 Multiply both sides by 3 3% = 18 Hence, 18 kg is 3%_ of 600 kg.3% -
Question 3 of 5
3. Question
What is 5 kg of fish as a percentage (%) of 250 kg of fish?- (2) %
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First, summarise the data for easier understanding of the problem.Given weight=5 kgTotal weight=250 kgPercentage of total value=100%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).5250×100 = 5250×1001 Convert values to fraction form = 500250 = 2 Hence, 5 kg is 2%_ of 250 kg.2% -
Question 4 of 5
4. Question
What percentage (%) of $150 is $12?- (8) %
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Chapters- Chapters
First, summarise the data and draw a diagram for easier understanding of the problemGiven amount=$12Total amount=$150Percentage of total value=100%Percentage of given amount=?Proportion MethodTo 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 r12150 = r100 150×r = 12×100 Cross multiply 150r = 1200 150r÷150 = 1200÷150 Divide both sides by 150 r = 12015 Simplify r = 8 Hence, $12 is 8%_ of $150.8%Fraction MethodTo 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).12150×100 = 12150×1001 Convert values to fraction form = 1200150 = 12015 Simplify = 8 Hence, $12 is 8%_ of $150.8% -
Question 5 of 5
5. Question
If you spend 20% of your savings to buy a $1200 laptop, how much is your total savings?- $ (6000)
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- English
Chapters- Chapters
First, use a rectangle and list down the values: percentages on the left side and amounts on the right side.Known value=1200Percentage of known value=20%Percentage of total value=100%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 x20100 = 1200x 20×x = 1200×100 Cross multiply 20x = 120,000 20x÷20 = 120,000÷20 Divide both sides by 20 x = 12,0002 Simplify x = 6000 Hence, the total savings is $6000_$6000
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- Increase and Decrease an Amount by a Percent – Word Problems 1
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