OK, so doing the math..........
We were doing a ground speed of 763MPH
We were at FL33 (lower than usual for this flight too)
Mach 1.0 at FL33 is ~670MPH (depending on temperature)
777-300ER's cruise at .84 Mach
So airspeed 'probably would have been' ~563mph (670x.84)
Thus tailwind must have been ~200MPH (763-563)