Several possible sources of the water come to mind.
1. Rain water as in a leaking roof.
2. Rain water run off as rain water in gutters and down spouts.
3. Ground water run off as in both rain that fell on the ground and rain water from the gutter and down spout system.
4. Under ground water as in an under ground spring under the garage floor.
5. Busted or ruptured pipe.
Since you say there are no pipes in or under the garage, I think you can eliminate that as a real possibility.
Since a garage floor is usually at pretty much grade level, unless you live in a hole like I do, I think you could eliminate under ground water. While water from an under ground spring might only appear after a rain, it would probably appear a little while after the rain started and would continue for some time after the rain has stopped.
Ground water run off, both the rain that fell directly on the ground, and the run off from the gutters and down spouts should be visible and you should see it running into the garage.
A leaking roof should be visible or the damage to the ceiling from a leaking roof should be visible.
That leaves gutters and down spouts. It's really hard to envision your guttering system since you say the garage is detached from the house and separated by a path. Assuming the garage has gutters and down spouts. Also assuming that the house gutters are not attach to the garage gutters, but then maybe they are.. You should be aware that stopped up gutters can overflow the back side of the gutter and cause water to run inside the structure. If the inside walls of the garage are finished (like drywalled) that water can flow down the inside of the wall and exit at the floor. Normally you should see damage to the inside wall surface if this happens repeatedly. All depends on how the inside walls are finished. If a plastic moisture barrier was used, or if the foiled faced insulation was used, you might not see damage to the inside surface.
Since you said;
I have noticed that there is overflow from high guttering
I would say you probably have stopped guttering or down spouts there. Therefore, I would also say check you garage gutters and down spouts. Take special care to insure that the down spouts are clear.