On Mon, Nov 28, 2005 at 07:43:54AM CST, Kuestner, Bjoern <Bjoern.Kuestner at drkw.com> wrote: : Eugene wrote: : > : > "1 + 1 = 200%" makes no sense at all. "200%" of what? : : The whole point is to underline that the %-symbol is just another way of : writing "*1/100" or "divide by 100". In fact, that's how the %-symbol : started in the first place. : : http://www.roma.unisa.edu.au/07305/symbols.htm#Percent Nice page on the historical origins, but it does not invalidate my statement that percentages always must include a quantity that is expressed in English as "...of what". : I can see where you are coming from because asking "x% of what" is how : percentages are commonly used almost 100% (c: of the time. That's how it's always used. It cannot be used by itself as a form of pure number that can be swapped into typical algebra. You're treating "%" as some form of factor label for "/ 100". : But at the end of the day, 1% is still nothing else but 1/100. : That's the definition of percentage: A fraction. : You absolutely do not have to use another factor behind a percentage or any : other fraction. : You do not _have to_ specify "of what" any more than if you write "0.01". : : Take it from teachers: : http://webinstituteforteachers.org/99/teams/rationals/glossary.html If it's a pure number, it's a pure number. A percentage is not a pure number. : Take it from Wikipedia: : http://en.wikipedia.org/wiki/Percent : "'one percent', represented by the symbol %, is simply the number 1/100, or : 0.01" Hmmm. That same Wiki article sums up my position: > > Whenever we talk about a percentage, it is important to > specify what it is relative to, i.e. what the total is that > corresponds to 100%. That is to say, "of what". -- Eugene http://www.coxar.pwp.blueyonder.co.uk/