Rearranging recurrance relation into logistic form

Hi, this is probably simple for most but I'm a little puzzled.

Say I have a recurrence system

P_0=50

P_n+1 - P_n=(0.45 + 0.005P_n)P_n (n=0,1,2,3....)

and I want to put it in logistic form

rP_n(1 - P_n/E)

where r and E are positive parameters

Both examples I have are of the form (a - bP_n)P_n which means I get the 1 -, but now my logistic form is going to be 1 +, does this matter??

Apologies if this is the wrong forum but it seemed quite general.

Also sorry if this is a boneheaded question.