A molding profile assembly has a first and second molding profile. The first molding profile, whose upper surface is to form the upper surface of the molding profile assembly, has a groove formed into an under-surface of a first arm and a groove formed into a foot perpendicular to the arm. The second molding profile has first and second tabs which fit snugly into the first and second grooves of the first molding profile, respectively, interlocking the first and second molding profiles together. The molding profiles do not require scraping, stripping or other permanent alteration in order to be assembled together.