Main content

### Course: 6th grade > Unit 3

Lesson 2: Intro to percents# Meaning of 109%

In this lesson, we learn how to represent 109% using shading. We discover that 109% is equivalent to 109 per 100, or 109/100 as a fraction. By shading a complete 10x10 square and an additional 9 squares, we visually demonstrate 109% of a whole square. Created by Sal Khan and Monterey Institute for Technology and Education.

## Want to join the conversation?

- Am i the only one who has not been here for 9 years??(20 votes)
- been here 17 years(10 votes)

- well because centi means hundered and thats why it says perCENT(12 votes)
- So if the percent is greater than 100, the value is more than one?(6 votes)
- Yes. 1 is equal to 100%. So, any percentage over 100% is greater than 1.(6 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. :)(10 votes)

- so im using graphing paper would i need to use 2 pieces of graphing paper?(4 votes)
- How do you do 12 percent of 144 percent?(4 votes)
- Since 12% = 12/100 and and 144% = 144/100, you could do (12/100)*(144/100) = 0.1728 or 17.28%.(5 votes)

- At1:27, he shades in 100% right? But did he...

if the grid is a coordinate plane, on (10,5)that square isn't shaded in. Not even a little speck. So wouldn't it be 99%. I'll leave you to think about that........(4 votes)- Sal must have made a mistake when shading, he meant to shade in 109 squares.(1 vote)

- what percent would it be if you combine both of the hundred blocks?(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...(5 votes)
- Not to offend anyone

But are the people who answer our questions just bots or REALLY devoted Khan Academy members?(3 votes)- I'm a real person. I help just 'cause...well...'cause I can, lol. I'm a tutor and just wanted to help others learn math.(4 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.