[Script Info] Title: [Events] Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text Dialogue: 0,0:00:00.38,0:00:04.02,Default,,0000,0000,0000,,"Per cent" literally means per hundred". Dialogue: 0,0:00:04.02,0:00:05.25,Default,,0000,0000,0000,,That's where the word comes from. Dialogue: 0,0:00:05.25,0:00:10.14,Default,,0000,0000,0000,,"Cent" from cents or century or any of those words mean one hundred. Dialogue: 0,0:00:10.14,0:00:14.22,Default,,0000,0000,0000,,So someone tells you 7 per cent, Dialogue: 0,0:00:14.22,0:00:16.43,Default,,0000,0000,0000,,and I'm separating the words so it makes a little more sense. Dialogue: 0,0:00:16.43,0:00:21.93,Default,,0000,0000,0000,,He is always saying 7 per 100. This is the same thing as 7 per 100. Dialogue: 0,0:00:21.93,0:00:27.34,Default,,0000,0000,0000,,Which is the same thing as a fraction as 7 / 100. Dialogue: 0,0:00:27.34,0:00:30.54,Default,,0000,0000,0000,,With that out of the way let see if we can write. Dialogue: 0,0:00:30.54,0:00:36.21,Default,,0000,0000,0000,,If we can write 0.601 as a... as a percentage. Dialogue: 0,0:00:36.21,0:00:40.43,Default,,0000,0000,0000,,We essentially want to write it as something over 100. Dialogue: 0,0:00:40.43,0:00:42.59,Default,,0000,0000,0000,,So you could view it as Dialogue: 0,0:00:42.59,0:00:44.61,Default,,0000,0000,0000,,- I just rewrite this part right over here - Dialogue: 0,0:00:44.61,0:00:50.25,Default,,0000,0000,0000,,you could write it as 0.601 over 1. This is obviously the same quantity Dialogue: 0,0:00:50.25,0:00:53.06,Default,,0000,0000,0000,,You divide anything by 1 you should get that same anything. Dialogue: 0,0:00:53.06,0:00:59.75,Default,,0000,0000,0000,,I'm gonna multiply it by... multiply it by 100 over 100. Dialogue: 0,0:00:59.75,0:01:01.66,Default,,0000,0000,0000,,Obviously this won't change the value. Dialogue: 0,0:01:01.66,0:01:03.07,Default,,0000,0000,0000,,This is just 1 here. Dialogue: 0,0:01:03.07,0:01:05.08,Default,,0000,0000,0000,,But what this does it'll give us a fraction Dialogue: 0,0:01:05.08,0:01:07.53,Default,,0000,0000,0000,,on term with the denominator being a 100. Dialogue: 0,0:01:07.53,0:01:10.89,Default,,0000,0000,0000,,So the denominator if I multiply... if I multiply Dialogue: 0,0:01:10.89,0:01:12.96,Default,,0000,0000,0000,,these two characters right over here in the denominator, Dialogue: 0,0:01:12.96,0:01:16.12,Default,,0000,0000,0000,,The denominator of our product is going to be 100. Dialogue: 0,0:01:16.12,0:01:20.75,Default,,0000,0000,0000,,If I multiply 0.601 times 100 what am I going to get? Dialogue: 0,0:01:20.75,0:01:24.56,Default,,0000,0000,0000,,Well every time I'm multiplied by a multiple of 10 Dialogue: 0,0:01:24.56,0:01:26.39,Default,,0000,0000,0000,,or every time I multiply by 10 Dialogue: 0,0:01:26.39,0:01:28.67,Default,,0000,0000,0000,,I'm gonna shift the decimal over to the right ones. Dialogue: 0,0:01:28.67,0:01:32.04,Default,,0000,0000,0000,,So if I'm multiplied by 10 I get 6.01 Dialogue: 0,0:01:32.04,0:01:35.17,Default,,0000,0000,0000,,and if I multiply by 10 again or I multiply by 100, Dialogue: 0,0:01:35.17,0:01:37.31,Default,,0000,0000,0000,,I'm going to get 60.1 Dialogue: 0,0:01:37.31,0:01:44.33,Default,,0000,0000,0000,,So 0 point 6 0 1 times a hundred is 60.1 Dialogue: 0,0:01:44.33,0:01:45.38,Default,,0000,0000,0000,,Let me rewrite that again. Dialogue: 0,0:01:45.74,0:01:48.36,Default,,0000,0000,0000,,If were to write... if I were to write, Dialogue: 0,0:01:48.36,0:01:52.55,Default,,0000,0000,0000,,0.601 and I wanna multiply it by 100. Dialogue: 0,0:01:52.55,0:01:55.03,Default,,0000,0000,0000,,Shift the decimal ones, I multiply by 10 Dialogue: 0,0:01:55.03,0:01:56.92,Default,,0000,0000,0000,,if I multiply by 10 again, Dialogue: 0,0:01:56.92,0:01:58.68,Default,,0000,0000,0000,,or essentially multiply by 100, Dialogue: 0,0:01:58.68,0:02:00.90,Default,,0000,0000,0000,,I get 60.1 Dialogue: 0,0:02:00.90,0:02:03.70,Default,,0000,0000,0000,,So this is times 10, this is times 10 again, Dialogue: 0,0:02:03.70,0:02:05.62,Default,,0000,0000,0000,,I was essentially multiplied by 100. Dialogue: 0,0:02:05.62,0:02:07.64,Default,,0000,0000,0000,,But now we have it in the form we like, Dialogue: 0,0:02:07.64,0:02:09.86,Default,,0000,0000,0000,,we have 60.1 over 100. Dialogue: 0,0:02:09.86,0:02:11.24,Default,,0000,0000,0000,,Or you can rewrite this, Dialogue: 0,0:02:11.24,0:02:18.51,Default,,0000,0000,0000,,this is the same this as 60.1 per 100... per 100, Dialogue: 0,0:02:18.51,0:02:24.06,Default,,0000,0000,0000,,which is the same thing as 60.1 per cent. Dialogue: 0,0:02:24.06,0:02:26.65,Default,,0000,0000,0000,,And that we obviously want to write then Dialogue: 0,0:02:26.65,0:02:28.70,Default,,0000,0000,0000,,60.1 percent as one word. Dialogue: 0,0:02:28.70,0:02:31.99,Default,,0000,0000,0000,,Or 60.1 and we just use the symbol, Dialogue: 0,0:02:31.99,0:02:34.65,Default,,0000,0000,0000,,60.1%, we are done.