You should probably use framerate-independent movement, because then you wouldn't have to care about the FPS.
What you are probably doing right now is in every frame you say position += velocity;
, where position
is in units of distance (whatever they may be--pixels, meters, etc.), and velocity
is in units of distance per frame.
However, what you should probably do is have velocity
instead be in units of distance per time instead of distance per time. Then what you would do is position += velocity * frameTime;
, where frameTime
is 1/FPS
, and is in units of time (seconds, to be specific).
Now, no matter what the framerate is, your character will move the same distance in the same amount of time.