ncolburn Posts: 2, Reputation: 1 New Member #1 Jan 28, 2011, 08:58 AM
11 is what percent of 29?
What percent of 29 is 11?
 ncolburn Posts: 2, Reputation: 1 New Member #2 Jan 28, 2011, 09:05 AM
What percentage of 29 is 11?
 Unknown008 Posts: 8,076, Reputation: 723 Uber Member #3 Jan 28, 2011, 09:19 AM

Do you agree with me that 29 is 100%?
 Unknown008 Posts: 8,076, Reputation: 723 Uber Member #4 Jan 28, 2011, 09:32 AM

 Appzalien Posts: 540, Reputation: 57 Senior Member #5 Jan 28, 2011, 10:00 AM
I learned a little trick a while ago when trying to figure out the actual percentage rate of buying a car that says 0% interest. If you take the larger number and divide it into the smaller, you will always get a decimal number since dividing large into small goes less than one time. Once you have a decimal you actually have a percentage as well when you consider the highest number to be 100%, the smaller number will be a smaller percentage of that. So in your case 11 divided by 29 ends up 0.3793 or 0.38 rounded up. So 11 is 38% of 29.
 Appzalien Posts: 540, Reputation: 57 Senior Member #6 Jan 28, 2011, 10:09 AM
29 divided by 11 is 2.6363 and repeats the decimal 63, rounded up it is 2.64 so 29 is 264% larger than 11. But as mentioned before, it is 100% in the equation, just a 29 dollars would be 100% of the money in your pocket and 11 dollars what you take out of that 100%.
 ballengerb1 Posts: 27,379, Reputation: 2280 Home Repair & Remodeling Expert #7 Jan 28, 2011, 10:13 AM

I think we'd be much better of to just let unknown handle this one because it looks like you got this reversed
 Unknown008 Posts: 8,076, Reputation: 723 Uber Member #8 Jan 28, 2011, 10:20 AM

Actually, I don't know what Appzalien is talking about here, but he did gave the answer in another thread here, and this is the problem with multiple threads about the same question; confusion.

While I am happy to see your enthusiasm to help others Appzalien, you have to know also that giving answers to homework questions is not something accepted by the rules of the forum.

The OP (Original Poster) has to have his/her input before actually getting the answer if he/she still can't solve the problem. Otherwise, through guidance, the OP should be able to solve the problem by himself/herself.
 jcaron2 Posts: 986, Reputation: 204 Senior Member #9 Jan 28, 2011, 10:21 PM
Here's one more "trick" when it comes to doing these kinds of problems:

When translating from a word-problem to an algebraic equation, you just need to translate correctly. You can think of this as an "English-to-Algebra" dictionary. :)

"What" or "what number" becomes "x"
"Percent" or "Percentage" or "%" becomes "/100" (that means divided by 100)
"of" becomes "*" (that's a multiplication symbol, a.k.a. "times")
"is" or "is equal to" becomes "="

What x
percentage /100
of *
29 29
is =
11? 11

$\frac{x}{100} \cdot 29 = 11$

$x \cdot 29 = 1100$

[math]x = \frac{1100}{29} = 37.93

So the answer is 37.93%, just like Appzalien said.

Keep in mind, that this English-to-Algebra translation will work for any of these types of word problems.

What percent of 12 is 5?
What is 34% of 13?
11 is 15% of what number?
45 is what percent of 92?
etc.
 Unknown008 Posts: 8,076, Reputation: 723 Uber Member #10 Jan 29, 2011, 12:20 AM

Well, since everybody's throwing in the method and answer, the simplest and most elementary one, I think would be using proportions.

29 -> 100%
1 -> 100%/29
11 -> (100%/29) x 11 = 37.93103448% = 37.9%

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