Good barrel and good ammo. I'm being technical here. Float and trigger have nothing to do with the accuracy. BUT one helps vibrations and sling, or bipod tensions, the trigger helps you SHOOT better not make the gun more accurate. Yes there are nits in this post.
You will enjoy the trigger. Might make you want to get an even better one. You never know. ( I have quite a few RRA varmints and NM that are good enough for my work)
