"Wet" is a transitive property; here's why.

How do you tell if something is wet? You take something dry (not wet) and touch it to the supposedly wet thing. Is the dry thing now wet? If so, the thing you touched with it was also wet.

Now, apply that same logic to water. If I take a dry towel and touch water with it, the towel will be wet. Therefore, the thing I touched with the towel (the water) is also wet (but now slightly less wet because of the towel).