WEBVTT

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"Per cent" literally means per hundred".

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That's where the word comes from.

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"Cent" from cents or century or any of those words mean one hundred.

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So someone tells you 7 per cent,

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and I'm separating the words so it makes a little more sense.

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He is always saying 7 per 100. This is the same thing as 7 per 100.

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Which is the same thing as a fraction as 7 / 100.

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With that out of the way let see if we can write.

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If we can write 0.601 as a... as a percentage.

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We essentially want to write it as something over 100.

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So you could view it as

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- I just rewrite this part right over here -

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you could write it as 0.601 over 1. This is obviously the same quantity

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You divide anything by 1 you should get that same anything.

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I'm gonna multiply it by... multiply it by 100 over 100.

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Obviously this won't change the value.

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This is just 1 here.

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But what this does it'll give us a fraction

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on term with the denominator being a 100.

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So the denominator if I multiply... if I multiply

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these two characters right over here in the denominator,

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The denominator of our product is going to be 100.

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If I multiply 0.601 times 100 what am I going to get?

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Well every time I'm multiplied by a multiple of 10

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or every time I multiply by 10

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I'm gonna shift the decimal over to the right ones.

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So if I'm multiplied by 10 I get 6.01

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and if I multiply by 10 again or I multiply by 100,

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I'm going to get 60.1

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So 0 point 6 0 1 times a hundred is 60.1

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Let me rewrite that again.

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If were to write... if I were to write,

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0.601 and I wanna multiply it by 100.

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Shift the decimal ones, I multiply by 10

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if I multiply by 10 again,

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or essentially multiply by 100,

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I get 60.1

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So this is times 10, this is times 10 again,

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I was essentially multiplied by 100.

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But now we have it in the form we like,

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we have 60.1 over 100.

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Or you can rewrite this,

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this is the same this as 60.1 per 100... per 100,

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which is the same thing as 60.1 per cent.

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And that we obviously want to write then

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60.1 percent as one word.

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Or 60.1 and we just use the symbol,

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60.1%, we are done.