I sold off my street-bike before Christmas, but kept muffler for race-bike with Tyga full exhaust. Here's how I fitted it. Note the cone-adapter inlet is smaller and won't slide over exhaust tubing (which is larger than factory size by 7,5mm).
I cut off about 8mm from tip of cone.
I made cut not quite enough so cone still doesn't fit over exhaust tubing. Then I reamed out inside of cone with Dremel grinding stone to make inside of tip parallel to give more surface area touching exhaust pipe to seal.
Very tight fit over exhaust. I clamped the muffler body with hanger bracket before I installed springs. Didn't want them pulling muffler on too far. When I have time, I'll weld a stopper ring onto exhaust.
Also note that the Tyga exhaust has bend in pipe just ahead of muffler. This allows the pipe to entre muffler centered and on-axis. Compared to cockeyed connection to factory exhaust which has the bend on muffler instead.