Percentages

[WroteForLuck]

'Of the 180 cars which took part in a rally, 45 of them were green. What percentage of them were not green?'

please help me if you can i need to be able to do this without a calculator and i cannot do it for the life of me! i dont just need the answer but the workings also.

[mightylegend]

75 %

[mightylegend]

50 % of 180 is 90

50% of 90 is 45

that makes 180 minus 25% equalling 180 minus 45 .

therefore the remaining 135 is equal to 75%



d t h ?�

[WroteForLuck]

i need to know how you got that answer..?

[gen2]

Three stages to doing ths

1) Write your information as a fraction.
eg 9 out of 12 apples = 9/12

2) Multiply the fraction by 100 to convert to a percentage.
eg (100 x 9)/12

3) Simplify the fraction by dividing top and bottom by common factors.

my example should give you 75%

[MarMatMal]

180-45=135. 135/180 x 100 = 75

So 75% were not green

Note 45 is a quarter of 180

[WroteForLuck]

what would happen if it was 53 green cars? what would be your calculation then?

[mightylegend]

180 minus 53 = 127 / 180 x 100 = 70.55 % ?

[Ethel]

180 divided by 45 = 4 units. We know one of these units is green, therefore 3 units aren't.

100 divided by 4 units = 25
25 x 3 units = 75%

[WroteForLuck]

ahhh i get it now! nice one. thanks a lot for that.

[catmando]

Don't worry - I, and several others, have been helping a mutual colleague with her percentages for at least 18 years and she still hasn't got the hang of them. She is a lovely person and a great friend but definitely not of the numerical persuasion. Working out quarterly staff turnover percentages remains an arcane mystery.

[WroteForLuck]

im just getting confused real easy. for this question 'Of the 40 guests at a party, 32 of them were women. What percentage were women?' to get the answer i subracted 32 from 40 which gave me 8 then i multiplied the 8 by 10 to get me the 80% is this wrong?

[The Reporter]

You have 40 guests, 32 of whom are women. Therefore (40-32) = 8 are men.

To work out the percentage of women, you need to divide 32 by 40 (the total) and multiply it by 100 (percentage = per hundred)... ie 80%

To work out the percentage of men, divide 8 by 40, then multiply by 100, ie 20%.

In your original question:-
180 cars in total, 45 are green. Therefore (180-45) = 135 are NOT green.

45/180 x 100 = 25% are green
135/180 x 100 = 75% are NOT green

[mibn2cweus]

Question Author
�im just getting confused real easy. for this question 'Of the 40 guests at a party, 32 of them were women. What percentage were women?' to get the answer i subracted 32 from 40 which gave me 8 then i multiplied the 8 by 10 to get me the 80% is this wrong?�


WroteForLuck, That's fine assuming all the women in this problem are blondes, not always the case.

Multiplying by "10" (where did you come up with that?) only "works" because 8 is coincidently 10% of 80.

To insure consistent results for any and all particular variables, stick to the proven method (as shown in the previous post/s)

Percentage refers to a specific ratio's relationship to parts per hundred. Relating ratios to parts of 100 provides the mind with a consistent reference; 1/2, 7/14, 27/54, 18.3/36.6, are all versions of 50% (50 out of 100).

Three out of four, 3/4, 10.5/14, 669/892, are all versions of 75%. Using a common reference makes comparison between ratios more available to direct perception, reducing the potential for confusion.

For those who must work a lot with ratios and percentages, adhering to ones chosen proven method soon becomes habit. For others there is the calculator in which the method is carved in (silicon) stone.

[itask]

Percentages are a representation of a number as a part of 100 and can be found everywhere. Be it in the family, on the street corner, or in your bank account, percentages are utilized to define different measurements. For example, if you fall off the curb and only sustain minor injuries, your injury may be classified as 2% body injury.
If you want to learn more on Percentage : https://percentagecalculatorfree.com/