nosaj
Bunuel, I keep making silly mistakes in percentages.
When I read m percent, i translated this to m/100 * 100... therefore I put k*m*n.
What is the gap in my understanding that I am missing?
I only shifted to the above BECAUSE in some other questions often if you don't multiply by the extra 100... it is wrong.
Note that "
per cent" from Latin literally means "
per one hundred" or "
out of one hundred", so for example, \(x\%\) is \(\frac{x}{100}\) (\(x\) per one hundred) and say \(5\%\) is \(\frac{5}{100} = 0.05\) (5 out of one hundred). On the other hand, we can write 0.05 as \(0.05*100\% = 5\%\) and say 20 as \(20*100\% = 2000\%\).
Basically, "
%" symbol, or the word "percent", just means "
per 100", or algebraically, "
/100". Thus:
To drop "%" symbol, so to convert the percentage into a ratio, just divide by 100: \(m\% = \frac{m}{100}\). For example, \(10\%=\frac{10}{100}=\frac{1}{10}=0.1\) and \(400\%=\frac{400}{100}=4\).
To get "%" symbol, so to convert the ratio into a percentage, just multiply by 100%: \(n=n*100\%\) (100% is just 100/100 = 1, so we are essentially multiplying by 1). For example, \(0.4=0.4*100\%=40\%\) and \(15=15*100\%=1500\%\).
To sum up: \(x\%\) and \(\frac{x}{100}\) are just two different ways of writing the same thing: as a percentage and as a ratio.
4. Percents and Iterest
For more check:
Hope it helps.