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Operating Segments (Details) - USD ($) $ in Millions	3 Months Ended												12 Months Ended
	May 30, 2020	Feb. 29, 2020	Nov. 30, 2019	Aug. 31, 2019	Jun. 01, 2019	Mar. 02, 2019	Dec. 01, 2018	Sep. 01, 2018	Jun. 02, 2018	Mar. 03, 2018	Dec. 02, 2017	Sep. 02, 2017	May 30, 2020	Jun. 01, 2019	Jun. 02, 2018
Segment Reporting Information
Net sales	$ 475.7	$ 665.7	$ 674.2	$ 670.9	$ 671.0	$ 619.0	$ 652.6	$ 624.6	$ 618.0	$ 578.4	$ 604.6	$ 580.3	$ 2,486.6	$ 2,567.2	$ 2,381.2
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%	5.00%
Net sales													$ 122.9	$ 129.6	$ 109.8
Unionized Employees Concentration Risk | Workforce Subject to Collective Bargaining Arrangements
Segment Reporting Information
Concentration Risk, Percentage													3.00%

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