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Operating Segments (Details) - USD ($) $ in Millions	3 Months Ended												12 Months Ended
	May 29, 2021	Feb. 27, 2021	Nov. 28, 2020	Aug. 29, 2020	May 30, 2020	Feb. 29, 2020	Nov. 30, 2019	Aug. 31, 2019	Jun. 01, 2019	Mar. 02, 2019	Dec. 01, 2018	Sep. 01, 2018	May 29, 2021	May 30, 2020	Jun. 01, 2019
Segment Reporting Information
Net sales	$ 621.5	$ 590.5	$ 626.3	$ 626.8	$ 475.7	$ 665.7	$ 674.2	$ 670.9	$ 671.0	$ 619.0	$ 652.6	$ 624.6	$ 2,465.1	$ 2,486.6	$ 2,567.2
Customer Concentration Risk | Sales Revenue, Net | Largest Single End-User
Segment Reporting Information
Concentration (percent)													5.00%	5.00%	5.00%
Net sales													$ 113.0	$ 122.9	$ 129.6
Customer Concentration Risk | Sales Revenue, Net | Company's Ten Largest Customers
Segment Reporting Information
Concentration (percent)													17.00%	18.00%	18.00%
Unionized Employees Concentration Risk | Workforce Subject to Collective Bargaining Arrangements
Segment Reporting Information
Concentration (percent)													4.00%

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