Will upgrading graphic cards increase performance regardless of processors?

[megamanxtreme]

Maybe I asked the question wrong.

Example: Based on a Guru3D benchmark, the Nvidia GTX 780 has about 27 more Frames per Second over the GTX 760(Which I have) on Tomb Raider.
I have the FX-6300 processor, but the test was performed with a Core i7 3960 Extreme (Sandy Bridge-E) @ 4.6 GHz on all six cores .
If that benchmark is correct and my processor has the same tendency, and the minimum based on my settings was 24, will my new minimum will be 51FPS if I upgrade to the GTX 780?
As for max, I have V-Sync on, so 60 it is.

Benchmark on Tomb Raider with settings of: DX11, Ultra Quality mode, FX AA enabled, 16x AF enabled, Hair Quality Normal (TressFX disabled), Tessellation On, SSAO Ultra. Resolution used on this benchmark is 2560X1600.
(I, on the other hand, will be using those same settings, but with TressFX on. Also, I will be using the resolution of 1920X1080.)

 

[Danbuscus25]

well, an fx 6300 may bottleneck a 780, so upgrading from 760 to 780 may only give you ~5-~15 more fps, but overclocking the 6300 will fix that up no problem make sure you have a good cooler though.

 

[megamanxtreme]

well, an fx 6300 may bottleneck a 780, so upgrading from 760 to 780 may only give you ~5-~15 more fps, but overclocking the 6300 will fix that up no problem make sure you have a good cooler though.

I use Stock Clocks and reference cooler. Maybe, if and when a new CPU comes out from AMD, I will upgrade, either upgrade the CPU or both the mobo and CPU(Assuming that a new CPU from AMD might be in need of a new mobo).
Thank you for the advice.