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

[zak100]

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.

 

[SteamKing]

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?

 

[Ray Vickson]

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 $x = a$?

 

[zak100]

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.

 

[Ray Vickson]

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.

 

[zak100]

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.

 

[Ray Vickson]

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.