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Operating Segments - Schedule of Revenue by Customer Geographic Area (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
Revenues from External Customers and Long-Lived Assets
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
Long-lived assets	366.3				474.3				399.8				366.3	474.3	399.8
United States
Revenues from External Customers and Long-Lived Assets
Net sales													1,795.8	1,865.8	1,737.9
Long-lived assets	306.7				422.1				349.3				306.7	422.1	349.3
International
Revenues from External Customers and Long-Lived Assets
Net sales													690.8	701.4	643.3
Long-lived assets	$ 59.6				$ 52.2				$ 50.5				$ 59.6	$ 52.2	$ 50.5

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