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KS3

Numbers

Question

How would you give 57p as a percentage of £1.20?

3 years ago

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124 Replies

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8282 views

P

Penelope Ryan


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124 Answers

Alexander Profile Picture
Alexander Verified Sherpa Tutor ✓

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Hi Miss Ryan!

Lets begin by remembering what a percentage is? A percentage can be a portion of an amount. If we have 100% of an amount then we have the full amount. For example if we have 100% of a chocolate bar then all the chocolate is ours. If we have 50% of a bar then we have half the chocolate bar because 50 is half of 100. We can use this equation to help solve the question 

Here are a number of steps I would use to find the percentage:

  1. Multiply £1.20 by 100 - giving us the amount in pence - 120p is what we get.
  2. 57/120 will give us a decimal which can be changed to percentage in a next step.
  3. We will multiply 57/120 by 100 which will give us 47.5%


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U
Umair Asghar

£1.20 = 120p


57p/120p = 19/40


19/40 = 0.475


0.475 x 100 = 47.5


==47.5%

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Z
Zoe Cohen

First you need to write the 57p so it is in the same form as the £1.20. Therefore the 57p would be written as 0.57.

Then you need to write 0.57/1.20 (0.57 divided by 1.20) to work out what 0.57 is as a proportion of 1.20. The answer to this is 0.475.

Finally, you multiply 0.475 by 100 to give the final percentage. 0.475 x 100 = 47.5.

So, 57p as a percentage of £1.20 is 47.5%.


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Amit G Profile Picture
Amit G Verified Sherpa Tutor ✓

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(57/120) x 100 = 47.5%

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Michael F Profile Picture
Michael F Verified Sherpa Tutor ✓

MATHS TEACHER AND EXAMINER with 15+ years experience

convert the £1.20 into pence, so both items are pence. Then either do long division and divide 120 into 57 or on a calculator do 57/120 and then x 100 to make it a %

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Hanh L Profile Picture
Hanh L Verified Sherpa Tutor ✓

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Answer: 47.5%


Explanation:

First of all, you need to change either of the numbers to the same unit, you can either do this by converting:


57p to £0.57

or

£1.20 to 120p.


Now we can divide the smaller number by the bigger number to receive an answer of 0.475.

Following this, we need to convert this decimal into a percentage and we can do this by multiplying by 100 and thus we get an answer of 47.5%

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K
Kushal

Do 57/1.20 which is 47.5%

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S
Samreen Manaf

£1.20= 120p

hence 57p = 47.5% of £1.20 as 57/120 X100= 47.5%

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A
Aniket Gupta

So starting with a basic rule. For calculating percentage, both the quantities need to be in the same units. This rule actually follows from fractions, of which percentages are just an extension.

So converting both in pence units, we have 57p already and £1.20 as 120p, since 1 pound has 100 pence to it.

% = (57/120) x 100

= 0.475 x 100 = 47.5%

So, 57p is 47.5% of £1.20


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M
Muhammad Umar

The conversion process begins with turning 57p and 1.20 pounds into the shared unit of pence. Then the percentage formula (part/whole) 100 allows finding the answer which is 47.5%. The calculation requires a four-step procedure starting with the conversion of both amounts into pence then applying (part ÷ whole) × 100 formula. The part section has a value of 57p whereas the whole value amounts to 120p in this instance. The percentage of 47.5% results from dividing 57 by 120 and then multiplying the quotient by 100. Therefore, 57p is 47.5% of £1.20.

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Thomas Profile Picture
Thomas Verified Sherpa Tutor ✓

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Hi, I would set this out:


1.20 = 100% , therefore 1% = 0.012


I would then do: 0.57/0.012 = 47.5%





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V
Varun Sethia

57p

divided by

120p


= 47.5%

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J
Jake

For this you would do it as any other percentage question. You would do 57/120 x100 and would get an answer of 47.5%

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M
Mahfoth Komush

To find how much 57p is as a percentage of £1.20, we will see how much 57p is valued in comparison to £1.20, so we will need to write this as a fraction. First, we need to make sure both numbers have the same currency or "units", so we will convert £1.20 to 120p as £1 contains 100 pence and £0.20 is 20 pence.


This is how it looks, 57/120. To convert from fractions to percentages, we can use a division method or use a calculator to divide this, we then get 0.475. To convert this to a percentage, we multiply the number by 100. The final answer is 47.5%.

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R
Rosamund Flynn

Firstly, change the £1.20 to pence (120p).

Find 57p as a percentage of 120p by dividing 57 by 120 then multiply by 100.

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