Hi there,
I did some digging and it seems that Battlefield is very CPU Intensive (https://forums.battlefield.com/en-us/discussion/22787/game-is-cpu-intensive).
From that link you can see the guys get better FPS the better the CPU gets.
Also here is a guy with a similar GPU like yours (I run a i7 3960X and get between 40 and 50 % usage. And with my 980 on a 1080 screen i get 120 fps vsync on and smooth as a baby's bottom.)
So I would assume you should be fine with atleast 60+ fps - very dificult to tell without someone having a Benchmark with your setup.
Edit:
https://www.youtube.com/watch?v=af2NJXbstCE (watch from around 9:30) found this guy using same CPU but weaker GPU.
I would stick with my original observation of 60+ fps...