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Finding the part in a percent problem - September 15th 2016, 04:45 PM

Can you help me with this math problem?
If the whole is 100, and the percent is 22%, what is the part?
   
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Re: Finding the part in a percent problem - September 15th 2016, 05:15 PM

I haven't done maths in a while, but I think this is right. Please correct me someone if I'm wrong!

Divide 100 by 100 (to get 1%) which gives you 1, then times it by 22 (to get 22%) which gives you 22, the part


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Re: Finding the part in a percent problem - September 15th 2016, 05:33 PM

I learned percentages as %/100= is(part)/of(whole) then cross multiply or cancel if the numbers divide into each other.

So, in this case 22 (%)/100= X/100

100/100 cancels to 122= 22


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Re: Finding the part in a percent problem - September 15th 2016, 05:40 PM

I think you both are right. I like the second option better, it seems easier.
   
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Re: Finding the part in a percent problem - September 15th 2016, 06:20 PM

I was thinking more along the line of 22/100 (22 over 100) which is totally different from 22 being 22% of 100. 22/100 = .22
   
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Re: Finding the part in a percent problem - September 15th 2016, 07:55 PM

I would have done it as Kate did it. Keep in mind though that 22%=22/100 and NOT 22%/100 or any other variation. I'm not saying anyone here did that, but it is a common mistake
   
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Re: Finding the part in a percent problem - September 15th 2016, 09:01 PM

I only learned cross multiplication for this type of problem, which I write differently on paper than I would on a computer. I always put the percent over 100 on the left, and then the part over the whole on the right. So for this it would look like 22%/100% and then x/100 I would then multiply 22x100 and get 2200 and the problem would then be written as 2200=100x, and then divide by 100 to get 22. Now, that isn't all necessary for this particular problem but is for most.



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Re: Finding the part in a percent problem - September 15th 2016, 09:11 PM

Glad they could help you out Rachel!
I know I learned it that way in school (is/of = part/whole) but I could not remember when you asked me about it earlier.
This is a simplistic type of this problem however keep in mind you will need to "show your work" for longer problems most likely (you can contact your teacher for specifics about this or any problems in the future).

With how you do your math, be sure to ask about how you will do more complex problems vertically. That is a challenge on a computer and I would totally help but I've only done those types of problems in braille on paper and seen them in the Nemeth tutorial.
If the teacher will accept horizontal representation, that may be easier in some ways but complicated in others because the alignment would be off so you would have to remember the order instead of being able to look back at it.


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Re: Finding the part in a percent problem - September 16th 2016, 12:29 AM

This is how I solve it. Convert 22% into a fraction, i.e, 22/100

Then, multiply the whole by the fraction. --> 100 x (22/100)

The number is 22!

You can use the same process for different types of questions, if the whole is another number.

Another way:

Convert the percent into a decimal. 22% = 0.22
Multiply the whole with the decimal. --> 100 x 0.22

Part is 22.

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Re: Finding the part in a percent problem - September 17th 2016, 04:20 PM

Quote:
Originally Posted by in_recovery View Post
Can you help me with this math problem?
If the whole is 100, and the percent is 22%, what is the part?
Sometimes rephrasing math questions can be more useful. If it helps you think more clearer, I read this question as, "What is 22% of 100, the part?" If you know math grammar, 'of' typically means to multiply. Thus, since 22% is 22/100 or .22 you can simply multiply .22 * 100 (.22 of 100). i.e. your part is 22% of the 100.


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