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Current time:0:00Total duration:2:36

Video transcript

percent literally means per hundred that's where the word comes from sent from sense or century or any of those words mean 100 so if someone tells you seven per cent and I'm separating the word so it makes a little more sense they're always saying seven per hundred this is the same thing as seven per hundred which is the same thing as a fraction as seven / 7 / hundred with that out of the way let's see if we can write if we can write zero point six zero one as a as a percentage well we essentially want to write it as something over 100 so you could view it as I'll just rewrite this part right over here you could write it as zero point six zero one over one this is obviously the same quantity you divide anything by one you're still going to get that same anything and I'm going to multiply it by I'm going to multiply it by 100 over 100 obviously this won't change the value this is just one here but what this does is it'll give us a fraction in term with the denominator being a hundred so the denominator if I multiply if I multiply these two characters right over here in the denominator the denominator of our product is going to be 100 if I multiply point zero six zero one times 100 what am I going to get well every time I multiply it by a multiple of ten or every time I multiply it by ten I'm going to shift the decimal over to the right once so if I multiply it by ten I'd get six point zero one and if I multiply it by ten again or if I multiply it by 100 I'm going to get sixty point one so 6.0.6000.16386 t point one so this is times ten this is times ten again I'm essentially multiplied it by 100 but now we have it in the form we like we have 60 point one over 100 or you can rewrite this this is the same thing as 60 point one / / hundred per hundred which is the same thing as 60 point one per cent and we'd obviously want to write then as 60.1% as one word or sixty point one and we'll just use the symbol 60.1% we are done