Loud Work Environment -- Need Quieter Over-Ears

My new job has a very open, loud work environment.  My current headphones --Bose® AE2 audio headphones -- don't quite keep enough sound out.  I would like assistance in finding a new, over-ear, especially quiet headphone set.  Preferably under $200, but I'd compromise on price if the amount of sound dampening could be justified.

TL:DR

  • Over-ear
  • Sound reduction / sound dampening / sound isolation / maybe even noise canceling?
  • Under $200
  • Any Brand

Thanks!