Operating Segments (Details) - USD ($) $ in Millions	3 Months Ended												12 Months Ended
	Jun. 02, 2018	Mar. 03, 2018	Dec. 02, 2017	Sep. 02, 2017	Jun. 03, 2017	Mar. 04, 2017	Dec. 03, 2016	Sep. 03, 2016	May 28, 2016	Feb. 27, 2016	Nov. 28, 2015	Aug. 29, 2015	Jun. 02, 2018	Jun. 03, 2017	May 28, 2016
Segment Reporting Information
Net sales	$ 618.0	$ 578.4	$ 604.6	$ 580.3	$ 577.2	$ 524.9	$ 577.5	$ 598.6	$ 582.6	$ 536.5	$ 580.4	$ 565.4	$ 2,381.2	$ 2,278.2	$ 2,264.9
Distributor Concentration Risk | Sales Revenue, Net
Segment Reporting Information
Concentration Risk, Percentage													4.00%
Customer Concentration Risk | Sales Revenue, Net
Segment Reporting Information
Concentration Risk, Percentage													5.00%	5.00%	4.00%
Net sales													$ 110.0	$ 102.0	$ 96.0
Unionized Employees Concentration Risk | Workforce Subject to Collective Bargaining Arrangements
Segment Reporting Information
Concentration Risk, Percentage													5.00%