WEBVTT 00:00:00.580 --> 00:00:06.610 Let's see if we can write 1.501 as a percentage. 00:00:06.610 --> 00:00:09.030 Now we really just want to write this quantity 00:00:09.030 --> 00:00:11.050 as something over 100. 00:00:11.050 --> 00:00:12.880 So what we can do is we can say that this 00:00:12.880 --> 00:00:16.480 is the same thing as 1.501 over 1. 00:00:16.480 --> 00:00:17.940 We haven't changed its value. 00:00:17.940 --> 00:00:22.504 And let's multiply it times 100/100. 00:00:22.504 --> 00:00:24.920 When we do this product-- and I haven't changed the value. 00:00:24.920 --> 00:00:26.770 This is just multiplying something times 1. 00:00:26.770 --> 00:00:28.770 But when we do it, we're going to change the way 00:00:28.770 --> 00:00:29.895 that we're representing it. 00:00:29.895 --> 00:00:33.570 The denominator now is going to be 1 times 100. 00:00:33.570 --> 00:00:35.000 So that's pretty straightforward. 00:00:35.000 --> 00:00:36.980 That's just going to be 100. 00:00:36.980 --> 00:00:38.740 And then the numerator, we're going 00:00:38.740 --> 00:00:42.730 to want to multiply 1.501 times 100. 00:00:42.730 --> 00:00:45.460 And so if we multiply this times 10, 00:00:45.460 --> 00:00:47.250 we would move the decimal one over. 00:00:47.250 --> 00:00:48.750 We want to multiply it by 100, so we 00:00:48.750 --> 00:00:50.600 want to multiply by 10 again. 00:00:50.600 --> 00:00:52.970 So we're going to move the decimal over to the right 00:00:52.970 --> 00:00:53.470 twice. 00:00:53.470 --> 00:00:56.000 We're multiplying it by 10 twice, 00:00:56.000 --> 00:00:57.907 or you're multiplying it by 100. 00:00:57.907 --> 00:00:58.990 This is multiplying by 10. 00:00:58.990 --> 00:01:00.310 This is multiplying by 100. 00:01:00.310 --> 00:01:02.310 So this is where the decimal's going to sit now. 00:01:02.310 --> 00:01:07.060 So we're going to get 150.1. 00:01:07.060 --> 00:01:12.340 And so we've rewritten the 1.501 as 150.1 over 100, 00:01:12.340 --> 00:01:14.731 or 150.1 per 100. 00:01:14.731 --> 00:01:15.480 Let me write that. 00:01:15.480 --> 00:01:22.530 150.1 per 100, which is the same thing 00:01:22.530 --> 00:01:32.980 as 150.1 per cent, which is the same thing as 150.1%. 00:01:32.980 --> 00:01:33.687 And we're done. 00:01:33.687 --> 00:01:35.770 And, essentially, all you're doing-- if you really 00:01:35.770 --> 00:01:38.740 want to simplify the process-- we're multiplying this 00:01:38.740 --> 00:01:41.380 by 100 to get 150.1. 00:01:41.380 --> 00:01:43.575 And then we're saying, that is the percentage. 00:01:43.575 --> 00:01:45.950 So you want to make sure that you write the percent there 00:01:45.950 --> 00:01:48.150 or the percent symbol.