0:00:00.375,0:00:04.019
"Per cent" literally means per hundred".

0:00:04.019,0:00:05.246
That's where the word comes from.

0:00:05.246,0:00:10.143
"Cent" from cents or century or any of those words mean one hundred.

0:00:10.143,0:00:14.216
So someone tells you 7 per cent,

0:00:14.216,0:00:16.428
and I'm separating the words so it makes a little more sense.

0:00:16.428,0:00:21.929
He is always saying 7 per 100. This is the same thing as 7 per 100.

0:00:21.929,0:00:27.341
Which is the same thing as a fraction as 7 / 100.

0:00:27.341,0:00:30.545
With that out of the way let see if we can write.

0:00:30.545,0:00:36.208
If we can write 0.601 as a... as a percentage.

0:00:36.208,0:00:40.431
We essentially want to write it as something over 100.

0:00:40.431,0:00:42.589
So you could view it as

0:00:42.589,0:00:44.613
- I just rewrite this part right over here -

0:00:44.613,0:00:50.247
you could write it as 0.601 over 1. This is obviously the same quantity

0:00:50.247,0:00:53.055
You divide anything by 1 you should get that same anything.

0:00:53.055,0:00:59.747
I'm gonna multiply it by... multiply it by 100 over 100.

0:00:59.747,0:01:01.657
Obviously this won't change the value.

0:01:01.657,0:01:03.074
This is just 1 here.

0:01:03.074,0:01:05.081
But what this does it'll give us a fraction

0:01:05.081,0:01:07.531
on term with the denominator being a 100.

0:01:07.531,0:01:10.891
So the denominator if I multiply... if I multiply

0:01:10.891,0:01:12.964
these two characters right over here in the denominator,

0:01:12.964,0:01:16.122
The denominator of our product is going to be 100.

0:01:16.122,0:01:20.749
If I multiply 0.601 times 100 what am I going to get?

0:01:20.749,0:01:24.562
Well every time I'm multiplied by a multiple of 10

0:01:24.562,0:01:26.392
or every time I multiply by 10

0:01:26.392,0:01:28.674
I'm gonna shift the decimal over to the right ones.

0:01:28.674,0:01:32.042
So if I'm multiplied by 10 I get 6.01

0:01:32.042,0:01:35.174
and if I multiply by 10 again or I multiply by 100,

0:01:35.174,0:01:37.313
I'm going to get 60.1

0:01:37.313,0:01:44.329
So 0 point 6 0 1 times a hundred is 60.1

0:01:44.329,0:01:45.375
Let me rewrite that again.

0:01:45.745,0:01:48.363
If were to write... if I were to write,

0:01:48.363,0:01:52.548
0.601 and I wanna multiply it by 100.

0:01:52.548,0:01:55.027
Shift the decimal ones, I multiply by 10

0:01:55.027,0:01:56.920
if I multiply by 10 again,

0:01:56.920,0:01:58.678
or essentially multiply by 100,

0:01:58.678,0:02:00.896
I get 60.1

0:02:00.896,0:02:03.703
So this is times 10, this is times 10 again,

0:02:03.703,0:02:05.625
I was essentially multiplied by 100.

0:02:05.625,0:02:07.645
But now we have it in the form we like,

0:02:07.645,0:02:09.856
we have 60.1 over 100.

0:02:09.856,0:02:11.244
Or you can rewrite this,

0:02:11.244,0:02:18.508
this is the same this as 60.1 per 100... per 100,

0:02:18.508,0:02:24.059
which is the same thing as 60.1 per cent.

0:02:24.059,0:02:26.646
And that we obviously want to write then

0:02:26.646,0:02:28.695
60.1 percent as one word.

0:02:28.695,0:02:31.993
Or 60.1 and we just use the symbol,

0:02:31.993,0:02:34.651
60.1%, we are done.