Ok, I wasn't sure if that was your engine or not. That looks very similar to the carb on my new quad as well.
At the bottom, where the hose goes in, that metal piece should be held on with three Phillips head screws. Take them out, then you will have the float bowl separated from the carb. The float will stay on the carb, but that is the area that needs to be cleaned. I would suggest doing it over a towel or something, so any little parts don't bounce off into oblivion.
Go slowly, and be patient, but there really isn't much to it, as you'll see when you get it open.