Kohler Carb Needed - Which One?

I'm working on a Cub Cadet mower that my dad just bought with a Kohler engine.  The carb is trashed; it looks like the previous owner smacked it with a hammer.  Found the part # I need, KH 24-853-02, but it appears to be discontinued.  I'm finding two different part #s that may fit it, KH 24-853-32 and the similar KH 24-853-32-S.  Are these the same carb?  What is the "S" designation?