WEBVTT

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Percent literally means per 100.

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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 means 100.

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So if someone tells
you 7 per cent--

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and I'm separating the word so
it makes a little more sense--

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they're really saying 7 per 100.

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This is the same
thing as 7 per 100,

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which is the same thing as a
fraction as 7 per 7 per 100.

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With that out of
the way, let's see

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if we can write 0.601
as a percentage.

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Well, we essentially want to
write it as something over 100.

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So you could view
it as-- I'll just

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rewrite this part
right over here.

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You could write it
as 0.601 over 1.

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This is obviously
the same quantity.

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If you divide
anything by 1, you're

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still going to get
that same anything.

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And I'm going to 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 is it'll
give us a fraction in term

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with the denominator being 100.

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So the denominator, if I
multiply these two characters

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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 0.0601 times
100, what am I going to get?

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Well, every time I multiply
it by a multiple of 10

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or every time I
multiply it by 10,

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I'm going to shift the decimal
over to the right once.

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So if I multiply it
by 10, I'd get 6.01.

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And if I multiply
it by a 10 again

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or if I multiply it by
100, I'm going to get 60.1.

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So 0.601 times 100 is 60.1.

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Let me rewrite that again.

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If I were to write 0.601, and
I want to multiply it by 100,

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shift the decimal once,
I multiply it by 10.

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If I multiply it by 10 again, or
essentially multiply it by 100,

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I get 60.1.

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So this is times 10.

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This is times 10 again.

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I've essentially
multiplied it 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 could rewrite this.

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This is the same
thing as 60.1 per 100,

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which is the same
thing as 60.1 percent.

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And we'd obviously want to write
it then as 60.1 percent, as one

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word, or 60.1, and we'll
just use the symbol-- 60.1%.

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We are done.