[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.86,0:00:03.100,Default,,0000,0000,0000,,Percent literally means per 100.
Dialogue: 0,0:00:03.100,0:00:05.37,Default,,0000,0000,0000,,That's where the\Nword comes from.
Dialogue: 0,0:00:05.37,0:00:10.54,Default,,0000,0000,0000,,Cent from cents or century or\Nany of those words means 100.
Dialogue: 0,0:00:10.54,0:00:13.86,Default,,0000,0000,0000,,So if someone tells\Nyou 7 per cent--
Dialogue: 0,0:00:13.86,0:00:16.40,Default,,0000,0000,0000,,and I'm separating the word so\Nit makes a little more sense--
Dialogue: 0,0:00:16.40,0:00:18.68,Default,,0000,0000,0000,,they're really saying 7 per 100.
Dialogue: 0,0:00:18.68,0:00:22.26,Default,,0000,0000,0000,,This is the same\Nthing as 7 per 100,
Dialogue: 0,0:00:22.26,0:00:27.64,Default,,0000,0000,0000,,which is the same thing as a\Nfraction as 7 per 7 per 100.
Dialogue: 0,0:00:27.64,0:00:29.17,Default,,0000,0000,0000,,With that out of\Nthe way, let's see
Dialogue: 0,0:00:29.17,0:00:36.81,Default,,0000,0000,0000,,if we can write 0.601\Nas a percentage.
Dialogue: 0,0:00:36.81,0:00:40.93,Default,,0000,0000,0000,,Well, we essentially want to\Nwrite it as something over 100.
Dialogue: 0,0:00:40.93,0:00:42.73,Default,,0000,0000,0000,,So you could view\Nit as-- I'll just
Dialogue: 0,0:00:42.73,0:00:44.80,Default,,0000,0000,0000,,rewrite this part\Nright over here.
Dialogue: 0,0:00:44.80,0:00:48.60,Default,,0000,0000,0000,,You could write it\Nas 0.601 over 1.
Dialogue: 0,0:00:48.60,0:00:50.15,Default,,0000,0000,0000,,This is obviously\Nthe same quantity.
Dialogue: 0,0:00:50.15,0:00:51.61,Default,,0000,0000,0000,,If you divide\Nanything by 1, you're
Dialogue: 0,0:00:51.61,0:00:53.37,Default,,0000,0000,0000,,still going to get\Nthat same anything.
Dialogue: 0,0:00:53.37,0:01:00.10,Default,,0000,0000,0000,,And I'm going to multiply\Nit by 100 over 100.
Dialogue: 0,0:01:00.10,0:01:01.73,Default,,0000,0000,0000,,Obviously, this won't\Nchange the value.
Dialogue: 0,0:01:01.73,0:01:03.31,Default,,0000,0000,0000,,This is just 1 here.
Dialogue: 0,0:01:03.31,0:01:06.00,Default,,0000,0000,0000,,But what this does is it'll\Ngive us a fraction in term
Dialogue: 0,0:01:06.00,0:01:07.80,Default,,0000,0000,0000,,with the denominator being 100.
Dialogue: 0,0:01:07.80,0:01:11.79,Default,,0000,0000,0000,,So the denominator, if I\Nmultiply these two characters
Dialogue: 0,0:01:11.79,0:01:13.53,Default,,0000,0000,0000,,right over here in\Nthe denominator,
Dialogue: 0,0:01:13.53,0:01:16.48,Default,,0000,0000,0000,,the denominator of our\Nproduct is going to be 100.
Dialogue: 0,0:01:16.48,0:01:21.37,Default,,0000,0000,0000,,If I multiply 0.0601 times\N100, what am I going to get?
Dialogue: 0,0:01:21.37,0:01:24.57,Default,,0000,0000,0000,,Well, every time I multiply\Nit by a multiple of 10
Dialogue: 0,0:01:24.57,0:01:26.13,Default,,0000,0000,0000,,or every time I\Nmultiply it by 10,
Dialogue: 0,0:01:26.13,0:01:28.85,Default,,0000,0000,0000,,I'm going to shift the decimal\Nover to the right once.
Dialogue: 0,0:01:28.85,0:01:32.56,Default,,0000,0000,0000,,So if I multiply it\Nby 10, I'd get 6.01.
Dialogue: 0,0:01:32.56,0:01:34.07,Default,,0000,0000,0000,,And if I multiply\Nit by a 10 again
Dialogue: 0,0:01:34.07,0:01:37.83,Default,,0000,0000,0000,,or if I multiply it by\N100, I'm going to get 60.1.
Dialogue: 0,0:01:37.83,0:01:44.70,Default,,0000,0000,0000,,So 0.601 times 100 is 60.1.
Dialogue: 0,0:01:44.70,0:01:46.24,Default,,0000,0000,0000,,Let me rewrite that again.
Dialogue: 0,0:01:46.24,0:01:52.93,Default,,0000,0000,0000,,If I were to write 0.601, and\NI want to multiply it by 100,
Dialogue: 0,0:01:52.93,0:01:55.25,Default,,0000,0000,0000,,shift the decimal once,\NI multiply it by 10.
Dialogue: 0,0:01:55.25,0:01:59.02,Default,,0000,0000,0000,,If I multiply it by 10 again, or\Nessentially multiply it by 100,
Dialogue: 0,0:01:59.02,0:02:01.13,Default,,0000,0000,0000,,I get 60.1.
Dialogue: 0,0:02:01.13,0:02:02.60,Default,,0000,0000,0000,,So this is times 10.
Dialogue: 0,0:02:02.60,0:02:03.88,Default,,0000,0000,0000,,This is times 10 again.
Dialogue: 0,0:02:03.88,0:02:05.97,Default,,0000,0000,0000,,I've essentially\Nmultiplied it by 100.
Dialogue: 0,0:02:05.97,0:02:07.88,Default,,0000,0000,0000,,But now we have it\Nin the form we like.
Dialogue: 0,0:02:07.88,0:02:09.92,Default,,0000,0000,0000,,We have 60.1 over 100.
Dialogue: 0,0:02:09.92,0:02:11.55,Default,,0000,0000,0000,,Or you could rewrite this.
Dialogue: 0,0:02:11.55,0:02:18.50,Default,,0000,0000,0000,,This is the same\Nthing as 60.1 per 100,
Dialogue: 0,0:02:18.50,0:02:24.86,Default,,0000,0000,0000,,which is the same\Nthing as 60.1 percent.
Dialogue: 0,0:02:24.86,0:02:28.46,Default,,0000,0000,0000,,And we'd obviously want to write\Nit then as 60.1 percent, as one
Dialogue: 0,0:02:28.46,0:02:33.93,Default,,0000,0000,0000,,word, or 60.1, and we'll\Njust use the symbol-- 60.1%.
Dialogue: 0,0:02:33.93,0:02:35.94,Default,,0000,0000,0000,,We are done.