For the smoothest gaming experience, your FPS should ideally match or exceed your monitor's refresh rate. If your graphics card is rendering 100 FPS but your monitor only has a 60Hz refresh rate, you're only seeing 60 of those 100 frames. The extra frames are essentially wasted, and you might experience screen tearing (where parts of multiple frames are displayed simultaneously).
Conversely, if your FPS is consistently lower than your refresh rate (e.g., 30 FPS on a 60Hz monitor), your monitor will display the same frame multiple times, leading to a choppy or stuttering visual experience. Technologies like V-Sync, G-Sync, and FreeSync aim to synchronize FPS and refresh rate to eliminate tearing and stuttering.