I need to replace the carburetor on my Cub Cadet 123 (engine K301AS). The existing carb is a Walbro WHG and has a number engraved on it but it is hard to read (either 47-053-08 or 77-053-08). I have tried to cross reference this and I have concluded that the correct replacement is a Kohler carb either KOH4785320S or KOH4785322s. But I'm not sure which. Can anybody advise me which is indeed the right carb for my Kohler K301AS engine?