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

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SUMMARY

The discussion centers on calculating the value of 'a' divided by a% of 'a'. Participants clarify that a% of 'a' can be expressed mathematically as (a/100) * a, resulting in a^2/100. The confusion arises from defining a%, with one participant mistakenly equating it to 100. The correct interpretation is that a% represents a fraction of 'a', specifically a/100. This leads to the conclusion that the expression simplifies to a/(a^2/100), which can be further analyzed for specific values of 'a'.

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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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