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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.
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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.
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