How can I convert a ratio to number given total quantity?-CodePudding

Dealing with put/call ratio Is there a formula to convert a ratio 0.46 with a quantity of 978,551 to it's two sections? I know those two numbers are 670,053 and 308,498 but can not for the life of me seem to find any answer through Google.

Didn't know where to post this in the network.

Thanks, Philip

CodePudding user response：

let x = total quantity ( here 978,551)

let y = ratio ( here 0.46)

first quantity = (x*y)/(1 y)

second quantity = (x)/(1 y)

CodePudding user response：

Let first quantity a and second be b. We know total number say x and ratio say y. By maths, a b=x and a/b=y. From second equation a=by. Putting it in first one, b(1 y)=x, b=x/(1 y) and a=by, a=xy/(1 y)

Finally, first number= total/(1 ratio) Second number=total*ratio/(1 ratio)