Property, Plant and Equipment (Schedule of Property, Plant and Equipment) (Details) - USD ($) $ in Thousands	Jun. 01, 2019	Jun. 02, 2018
Property, Plant and Equipment [Line Items]
Property, plant and equipment gross	$ 1,012,214	$ 939,091
Less: accumulated depreciation	555,920	513,707
Property, plant and equipment, less accumulated depreciation	456,294	425,384
Land and improvements
Property, Plant and Equipment [Line Items]
Property, plant and equipment gross	93,046	90,757
Buildings and improvements
Property, Plant and Equipment [Line Items]
Property, plant and equipment gross	370,451	360,030
Machinery and equipment
Property, Plant and Equipment [Line Items]
Property, plant and equipment gross	496,166	478,997
Construction-in-progress
Property, Plant and Equipment [Line Items]
Property, plant and equipment gross	$ 52,551	$ 9,307