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let's give ourselves a little bit of practice with percentages so let's ask ourselves what what percent percent of I don't know let's say what percent of sixteen is four and I encourage you to pause this video and to try it out yourself so when you're saying what percent of 16 is 4 percent is another way of saying what fraction of 16 is 4 and what we just need to write it as a percent as per 100 so if you said what fraction of 4 is a what fraction of 16 is 4 you would say well look this is the same thing as 4 sixteenths which is the same thing as equal this is the same thing as 1/4 but this is saying what fraction 4 is a 16 you table 4 is 1/4 of 16 but it still doesn't answer our question what percent what percent so in order to write this as a percent we literally have to write it as something over a hundred percent literally means per sent the word cent you know from cents and century it relates to the number 100 so it's per 100 so you could say well this is going to be equal to question mark over 100 the part of 100 and there's a bunch of ways that you could think about this you could say well look if in the denominator to go from 4 to 100 I have to multiply by 25 in the numerator to go from I need to also multiply by 25 in order to have an equivalent fraction so I'm also going to multiply by 25 so 1/4 is the same thing as 25 over 100 and another way of saying 25 over 100 is this is 25 per hundred or 25 percent so this is equal to 25 percent now there's another couple of other ways you could have thought about it you could have said you could have said well 4 over 16 this is literally 4 divided by 16 well let me just do the division and convert to a decimal which is very easily easy to convert to a percentage so let's try to actually do this division right over here so we're going to literally divide 4 by 16 now 16 goes into 4 0 times 0 times 16 is 0 you subtract and you get a 4 and we're not satisfied just having this remainder we want to keep adding zeros to figure out what to to get a decimal answer right over here so let's put a decimal right over here we're going into the tenths place and let's throw some zeros right over here the decimal will make sure we keep track of the fact that we are now in the tents and then the hundredths and in the thousands place if we have to go that far but let's bring another 0 down 16 goes into 40 goes into 40 2 times 2 times 16 is 32 you subtract you get 8 and you could bring down another 0 and we have 16 goes into 80 let's see 16 goes into 80 5 times 5 times 16 is 80 you subtract you have no remainder and you're done four sixteenths is the same thing as 0.25 now 0.25 is the same thing as 25 hundredths or this is the same thing as 25 over 100 which is the same thing as 25%