common sense tells me that when I have two numbers x and y and I know one is a % of the other(in other words one is a fraction of the other) , then the answer is always x/y * 100 or y/x* 100 ......
Unfortunately, my common sense is fallible. Consequently, I'd rather rely on a more foolproof method, so that I don't misinterpret the question.
Let me follow your reasoning for a sec...you are not being consistent in the us of the word "is" and "of"
No offense, but I believe that by following the rules I'm actually the one being more consistent.
in case one: what % "of 10" "is 6"
you correctly did (% = z/100) * "of 10" = "is 6"
notice you implied "of 10" is the whole and "is 6" is the part
No, I implied that 'of
' meant 'times
' and 'is
' meant '=
case 2: what % "is 6" "of 10"
you did (% = z/100) = "of 10" * "is 6" ...how does 6 of 10 translate to 6*10
'6 of 10' translates to '6 x 10' when 'of
' means 'times
It basically comes down to how we interpret the usage of 'of
' in this context. I'd never heard/seen this type of usage before, hence the query. I actually thought it was a trick question rather than a simple one.
Now, in no way am I advocating that the word 'of
'. If I had added the word 'out
' to the question I would have interpreted it differently:What percent is x out of y?
In this case, I'm happy to concede that the question translates to z
/100 = x
, because I recognise that 'out of
' means 'divided by
'. Take for example the following phrase:
of 10 people drink milk every day'.
We wouldn't say '5 of 10 people drink milk every day'. Having said that, I doubt a question would use the words 'out of
' in the first place. The question would most likely just use '/
' symbol or express 'x/y
' as a fraction using a graphic.
Either way, Ron admitted that this question was poorly worded, so I'm happy to leave it at that.