This thing of fps is a bit crazy really. Physically, the brain can only process an image stream from the eye up to 75-140 fps (depending on the eye, optic nerve and brain). Higher than that rate the brain cannot compute frame by frame changes. It might be able to pick up tiny changes in the stream, but not large chunks of the image changing. Anything above 24 fps the brain sees as a constant stream, and less than that has a visible flicker. However, the brain is also smart enough to fill in the flicker to make it appear a continuous stream.
Then you compound that by bringing in your monitor refresh rate. In general, most monitors these days are 60 Hz, that is 60 frames per second refresh. Having fps higher than your monitor refresh risks image tearing, that is where the GPU is changing the frame multiple times per monitor refresh. Having 200 fps is pointless on a 60 Hz monitor, in fact you'll find you get lots of image tearing as a result.
So the bottom line is, you want fps to be at or slightly higher than monitor refresh. So on your standard 60 Hz monitor 65 fps is perfect. In high action fast movement situations like competitive FPS you want both high fps and high refresh rate. It makes for a much smoother and more responsive experience. But in strategy titles where this type of response isn't necessary, anything between 30-60 is adequate. Perfect is just over 60 fps. Anything under 30 fps will visually stutter though.