Need help with price calculation

I have a Retail Price of $165 and give a discount of 66.67% to get a Wholesale Price of $55.

The question is...

How do I calculate the Retail Price

if I am just given the Wholesale Price of $55 and know that the Retail Price x with a discount of 66.67% = $55 (rounded up)

Thanks

Re: Need help with price calculation

In words 'from the retail price subtract two thirds of the retail price to get the wholesale price of $55'

In math symbols

$\displaystyle x - \frac{2x}{3} = 55 $

Now solve for x (the retail price)

:)

Re: Need help with price calculation

Thanks agentmulder,

but I need the result to be the retail price =x not the wholesale price =55

I need a calculation that I can use in Excel where -- Example numbers in ()

x is retail price (165)

y is a discount percentage (66%)

z is wholesale price (55)

Re: Need help with price calculation

$\displaystyle x - \frac{xy}{100} = z $

or

$\displaystyle x(1 -\frac{y}{100}) = z $

or

$\displaystyle x = \frac{100z}{100 - y} $

Is it the last one you need? We get that by solving for x in the top one.

:)

Re: Need help with price calculation

The last one is it. Thank you VERY MUCH agentmulder.