1
00:00:00,860 --> 00:00:03,996
Percent literally means per 100.

2
00:00:03,996 --> 00:00:05,370
That's where the
word comes from.

3
00:00:05,370 --> 00:00:10,540
Cent from cents or century or
any of those words means 100.

4
00:00:10,540 --> 00:00:13,859
So if someone tells
you 7 per cent--

5
00:00:13,859 --> 00:00:16,400
and I'm separating the word so
it makes a little more sense--

6
00:00:16,400 --> 00:00:18,680
they're really saying 7 per 100.

7
00:00:18,680 --> 00:00:22,260
This is the same
thing as 7 per 100,

8
00:00:22,260 --> 00:00:27,640
which is the same thing as a
fraction as 7 per 7 per 100.

9
00:00:27,640 --> 00:00:29,170
With that out of
the way, let's see

10
00:00:29,170 --> 00:00:36,810
if we can write 0.601
as a percentage.

11
00:00:36,810 --> 00:00:40,930
Well, we essentially want to
write it as something over 100.

12
00:00:40,930 --> 00:00:42,730
So you could view
it as-- I'll just

13
00:00:42,730 --> 00:00:44,800
rewrite this part
right over here.

14
00:00:44,800 --> 00:00:48,600
You could write it
as 0.601 over 1.

15
00:00:48,600 --> 00:00:50,152
This is obviously
the same quantity.

16
00:00:50,152 --> 00:00:51,610
If you divide
anything by 1, you're

17
00:00:51,610 --> 00:00:53,370
still going to get
that same anything.

18
00:00:53,370 --> 00:01:00,105
And I'm going to multiply
it by 100 over 100.

19
00:01:00,105 --> 00:01:01,730
Obviously, this won't
change the value.

20
00:01:01,730 --> 00:01:03,310
This is just 1 here.

21
00:01:03,310 --> 00:01:06,000
But what this does is it'll
give us a fraction in term

22
00:01:06,000 --> 00:01:07,800
with the denominator being 100.

23
00:01:07,800 --> 00:01:11,790
So the denominator, if I
multiply these two characters

24
00:01:11,790 --> 00:01:13,530
right over here in
the denominator,

25
00:01:13,530 --> 00:01:16,480
the denominator of our
product is going to be 100.

26
00:01:16,480 --> 00:01:21,370
If I multiply 0.0601 times
100, what am I going to get?

27
00:01:21,370 --> 00:01:24,570
Well, every time I multiply
it by a multiple of 10

28
00:01:24,570 --> 00:01:26,130
or every time I
multiply it by 10,

29
00:01:26,130 --> 00:01:28,850
I'm going to shift the decimal
over to the right once.

30
00:01:28,850 --> 00:01:32,560
So if I multiply it
by 10, I'd get 6.01.

31
00:01:32,560 --> 00:01:34,070
And if I multiply
it by a 10 again

32
00:01:34,070 --> 00:01:37,830
or if I multiply it by
100, I'm going to get 60.1.

33
00:01:37,830 --> 00:01:44,700
So 0.601 times 100 is 60.1.

34
00:01:44,700 --> 00:01:46,240
Let me rewrite that again.

35
00:01:46,240 --> 00:01:52,930
If I were to write 0.601, and
I want to multiply it by 100,

36
00:01:52,930 --> 00:01:55,250
shift the decimal once,
I multiply it by 10.

37
00:01:55,250 --> 00:01:59,020
If I multiply it by 10 again, or
essentially multiply it by 100,

38
00:01:59,020 --> 00:02:01,130
I get 60.1.

39
00:02:01,130 --> 00:02:02,600
So this is times 10.

40
00:02:02,600 --> 00:02:03,880
This is times 10 again.

41
00:02:03,880 --> 00:02:05,970
I've essentially
multiplied it by 100.

42
00:02:05,970 --> 00:02:07,880
But now we have it
in the form we like.

43
00:02:07,880 --> 00:02:09,919
We have 60.1 over 100.

44
00:02:09,919 --> 00:02:11,550
Or you could rewrite this.

45
00:02:11,550 --> 00:02:18,500
This is the same
thing as 60.1 per 100,

46
00:02:18,500 --> 00:02:24,860
which is the same
thing as 60.1 percent.

47
00:02:24,860 --> 00:02:28,460
And we'd obviously want to write
it then as 60.1 percent, as one

48
00:02:28,460 --> 00:02:33,930
word, or 60.1, and we'll
just use the symbol-- 60.1%.

49
00:02:33,930 --> 00:02:35,940
We are done.