Percentages -- having trouble understanding how to take a percentage of a number

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Homework Help Overview

The discussion revolves around understanding how to calculate a percentage of a number, specifically focusing on the expression 'a' divided by a% of 'a'. Participants are exploring the concept of percentages and their representation as decimals.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to define what a% means and how to express it mathematically. Questions about the conversion of percentages to decimal form are raised, along with examples like 50% of a number.

Discussion Status

There is an ongoing exploration of how to express a% as a decimal and how it relates to the original number. Some participants are providing guidance on interpreting percentages, while others are questioning their understanding of the calculations involved.

Contextual Notes

Participants express confusion about defining a% and its implications in calculations. There are hints and examples provided, but no consensus has been reached on the correct interpretation or method.

zak100
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Homework Statement



What is 'a' divided by a% of a?

Homework Equations



a div a/a * 100

The Attempt at a Solution


a/1/a/a * 100 = a/100

which is not a correct answer. I can't define a%. In my view a% of a means 100 i.e. a/a * 100.

Some body please guide me.

Zulfi.
 
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zak100 said:

Homework Statement



What is 'a' divided by a% of a?

Homework Equations



a div a/a * 100

The Attempt at a Solution


a/1/a/a * 100 = a/100

which is not a correct answer. I can't define a%. In my view a% of a means 100 i.e. a/a * 100.

Some body please guide me.

Zulfi.
How would you express a% as a decimal number? Hint: what is 50% of something as a decimal number?
 
zak100 said:

Homework Statement



What is 'a' divided by a% of a?

Homework Equations



a div a/a * 100

The Attempt at a Solution


a/1/a/a * 100 = a/100

which is not a correct answer. I can't define a%. In my view a% of a means 100 i.e. a/a * 100.

Some body please guide me.

Zulfi.

For a general value ##x##, what would be ##a\%## of ##x##? What would you get if you then put ##x = a##?
 
Hi,
Thanks for your attention.

a% of x = a/x * 100
if x = a , i would get 100.
<
How would you express a% as a decimal number? Hint: what is 50% of something as a decimal number?
>
I know about 50% as 0.5. I got this knowledge from the forum last time. But i don't know how to express a%, maybe 0.0a?

Zulfi.
 
zak100 said:
Hi,
Thanks for your attention.

a% of x = a/x * 100
if x = a , i would get 100.

Zulfi.

No, you have it wrong. 50% of 50 is one-half of 50, which is 25. 10% of 10 is one-tenth of ten, which is 1.
 
Hi,
<50% of 50 is one-half of 50>
= 0.5 (50)
what about a% of a = (a/100 )* a.
Is the above correct?
Please guide me.
Zulfi.
 
zak100 said:
Hi,
<50% of 50 is one-half of 50>
= 0.5 (50)
what about a% of a = (a/100 )* a.
Is the above correct?
Please guide me.
Zulfi.

Yes, ##a\%## of ##a## is ##(a/100)a = a^2/100##, just as you wrote.
 

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