I would bring the bowl outside and clean the underside well. If there had been leaks, you will want to make sure it's clean before resetting.
I sometimes take toilets onto the lawn and use the garden hose on them. Water isn't going to hurt it.
I would also replace the Unifit adapter if the seal has come off. It needs to be set with with wax to the flange, making sure there is compression on the sealing.