Need a math wiz

[ChiPCGuy]

Ok, this will probably sound like a dumb question, but I have a math problem.

If you have a final result result number, such as $20, and need to know what the original number is (X, I guess, because the original number is unknown) to get $20 by adding 9.5% to "X", then how do you get get there? What is the formula.

Example:

X + 9.5% of X = $20
What is X?

Thanks!

 

[imported_LoKe]

Roughly 18.5, if my math skills haven't failed me again.

EDIT : ******, you want a formula., Sec.

EDIT2 : I'm sure there is a correct way to do this, but this is how I did it :

I substituted x with a random number, until I got the correct solution.

Try, 18 + 0.095(18) = 19.71

But again, there's probably a proper formula.

 

[hypn0tik]

You have it right there.

9.5% as a decimal is 0.095.

So, x + 0.095x = 20
1.095x = 20

x = 20/1.095 = Whatever your calculator says.

 

[tfinch2]

18.2 < X < 18.3

 

[imported_LoKe]

Originally posted by: hypn0tik
You have it right there.

9.5% as a decimal is 0.095.

So, x + 0.095x = 20
1.095x = 20

x = 20/1.095 = Whatever your calculator says.

There we go :thumbsup:

 

[ChiPCGuy]

Thank you guys!!! Especially for the formula, hypn0tik!

 

[hypn0tik]

Originally posted by: ChiPCGuy
Thank you guys!!! Especially for the formula, hypn0tik!

You're welcome.

 

[BudAshes]

is this for your fun with numbers class?

 

[ChiPCGuy]

No, for work. I am calculating a cleaning contract with a 9.5% Management Fee for the US Navy. There are five Naval Marine Reserve Centers in the State of Ohio that will be cleaned by various subcontractors, and there is one Prime that is overseeing the whole thing. I negotiated the final prices with the Navy, which included the 9.5% Management Fee, but need to work backwards to get the individual Reserve Center prices to present to the individual subcontractors so they do not see the Management Fee. Hope that makes sense....