the center 'nut' is captured in the plate so that it can move around a bit allowing for less than perfect alignment of the holes to get the screw going.
Unlike a nut plate where the threads are cut from the plate itself, with a floating nut plate the self-aligning "nut" is captured in a cage to allow some movement. This allows for attachment of structures despite relative misallignment one with another. They also cost more.
GAHCO or Bonaero will have all of the varieties (one lug, small lugs, corner lugs, etc.) of floating nutplates you require. They are more expensive, but are pretty nice to work with.