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## 6th grade

### Course: 6th grade > Unit 3

Lesson 2: Intro to percents# Meaning of 109%

Percents are parts per hundred. So, how does this work for percents greater than 100% like 109%? Created by Sal Khan and Monterey Institute for Technology and Education.

## Want to join the conversation?

- Was this not 109 out of 200 because you used 2 squares of 100?(254 votes)
- I think I see why you're confused. As Sal points out, "percent" literally means "per hundred," and 109% literally therefore means 109 per hundred or 109/100. What this ratio also means is "part/whole" where the whole equals 100 and the part equals 109. But, in this case the part is actually greater than the whole, meaning you have one whole, 100/100, plus 9 more parts of that whole, or 9/100 (because 100/100 + 9/100 = 109/100).

I think you're confused because the people who created this question included two large squares *just for you to write your answer in.* That means that the whole is not really 200 small squares; they're just giving you 200 small squares for you to show your answer. Therefore when you shade in the 9 small squares in the second large square, you should pretend that the other 91 unshaded small squares don't exist. For example, if you were instead representing 109% with apples, you could place 100 apples in one pile and 9 apples in the other pile.(311 votes)

- Am i the only one who has not been here for 9 years??(10 votes)
- I haven't been here a year even(2 votes)

- so im using graphing paper would i need to use 2 pieces of graphing paper?(4 votes)
- Depends on how many squares are on your graph paper(8 votes)

- well because centi means hundered and thats why it says perCENT(7 votes)
- Wait, so how can this happen in real life? What would be a real-life example?(3 votes)
- If you are a store, you need to make a profit. If you buy something for 100 dollars, you have to sell if for more than it costs, so if you sell it for 109 dollars, it is 109% of the original costs.(7 votes)

- So, if you want to shade 159% then, you will have to take 200% and then shade 159 blocks...Right?(5 votes)
- Yes you need two wholes to shade 159%(2 votes)

- Was this not 109 out of 200 because you used 2 squares of 100(3 votes)
- I see you are confused, so it wouldn´t be 109/200 it would be 109/100. He used two squares because one square stood for 100% and the other stood for 9%.

Hope this helps. :)(3 votes)

- so basically you shade in a hundred (a whole) and the number of squares that are the number that makes it improper in the next square...(4 votes)
- How do you do 12 percent of 144 percent?(3 votes)
- Since 12% = 12/100 and and 144% = 144/100, you could do (12/100)*(144/100) = 0.1728 or 17.28%.(3 votes)

- Why do you need 2 grids if you have 109 percent?(4 votes)
- The first grid represents 100% and is made up of 100 squares. So, you have to shade in those 100 squares to represent 100%. However, to represent 109%, you need additional 9 squares. Therefore, we need a second grid. We shade in 9 squares in the second grid to get 109%.

The other way to look at it is this: First grid is 100/100 squares and the second grid is 9/100 squares. You can add 100/100 and 9/100 to get 109/100 squares.(2 votes)

## Video transcript

Show 109% by shading. So just as a bit of review, 109%
if we were to write it out, would literally be 109
percent, which is the same thing as 109 per-- and I could
write cent again, but that's getting old. Cent means 100, so it literally means 109 per hundred. If you had 100 per 100, you're
dealing with the whole, but now we have more than a whole. We have 109 per 100. We can actually write this as
a ratio, or as a fraction. This is the same thing
as 109 per 100. It's the the same thing
as 109/100. So let's shade that in. So we have a whole here,
so we could consider this square a whole. In the last video, we counted. This is a 10 by 10 square. It is cut up into 100 pieces. So if we want 109 of those
100 pieces, what are we talking about? That means we're going to
shade in all of the 100 right over here. Let me do that in a new color. So we'll shade in all of this. If you just shaded that in,
that would be 100%. That would be 100/100, or
100 per 100, or 100%. I think you're getting the
meaning of all of this. I don't just want you just
memorize this stuff. This really just means 100
out of 100, or a whole. And you can see that this
is the whole square. That's 100 out of
100 right there. The question is saying show
us 109% by shading. We already did 100 per 100, but
we need to do another 9, so let's shade in another 9. So now we have one, two, three,
four, five, six, seven, eight, nine. So this piece right here, you
could almost view that is-- well, that is! That is 9% of an
entire square. This is 100% of an
entire square. If you considered this whole
thing plus this blue area right over here, you are talking
about 109% of one whole square. Hopefully, that made sense.