Type of answer: 10% of 20% of 30%

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Homework Help Overview

The discussion revolves around calculating 10% of 20% of 30%, with participants exploring whether the final answer should be expressed as a percentage or a decimal. The subject area pertains to basic percentage calculations.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the method of calculating percentages and question whether the result should be presented in percentage form or as a decimal. There is also an exploration of the distinction between calculating percentages of whole numbers versus percentages of percentages.

Discussion Status

Some participants have provided guidance on interpreting the results, suggesting that the answer may be more meaningful as a percentage. There is an ongoing exploration of the implications of expressing the answer in different forms, but no consensus has been reached.

Contextual Notes

Participants are navigating the nuances of percentage calculations and the conventions of expressing results, with some confusion about the conversion between decimal and percentage forms. The original poster seeks clarity on these points.

zak100
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Homework Statement


What is10% of 20% of 30%?

Hi,
I have a confusion:
If we are asked to find 20% of 50, then it would be:
20/100 * 50, (Note answer won’t be in percentage) [/B]

Now 10% of 20% of 30% should be:

10/100 * 20/100 * 30/100

=0.006
The above answer should not be in percentage. Am I right or not??




Homework Equations


same as the equation of finding percentage

The Attempt at a Solution


see above.

Some body please guide me whether the answer of 10% of 20% of 30% would be in percentage or not. In order to convert it into percentage we have to multiply by 100??Yes/No??.
Zulfi.
 
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I would answer in percentage.
 
zak100 said:

Homework Statement


What is10% of 20% of 30%?
[/B]
Hi,
I have a confusion:
If we are asked to find 20% of 50, then it would be:
20/100 * 50, (Note answer won’t be in percentage)

Now 10% of 20% of 30% should be:

10/100 * 20/100 * 30/100

=0.006
The above answer should not be in percentage. Am I right or not??

Homework Equations


same as the equation of finding percentage

The Attempt at a Solution


see above.

Some body please guide me whether the answer of 10% of 20% of 30% would be in percentage or not. In order to convert it into percentage we have to multiply by 100??Yes/No??.
Zulfi.
Zulfi,

I expect that it makes sense to give the answer as a percent.

While 20% of 50 is 10, and not 10%, it does make sense to say that 20% of 50% is 10% .
 
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Hi,
Thanks for providing this distinction between the two.

Zulfi.
 
Yes, in order to get back to percent, you need to multiply by 100. You can "almost" think of percent like units, if it helps. But it really is a rate (which operates on other quantities), not an actual unit. But it may help you to keep track of what to do.

So think of percent as "per hundred" (like there are 100 cents in a dollar, 100 years in a century, etc.) So 20% becomes 20*(1/100) = 0.2 which is the number that you use to multiply other numbers by. So if you have 0.006 and want to get to percent, try this:
0.006 = x*(1/100), and solve for x. Multiply both by 100 and get 100*0.006 = x, and 0.6 = x, since x is 0.6 it is 0.6%
 

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