Restructuring, Impairment, and Other Exit Costs (Restructuring by Project) (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Nov. 28, 2021	Nov. 29, 2020	Nov. 28, 2021	Nov. 29, 2020
Restructuring and Related Cost [Line Items]
Total restructuring charges (recoveries)	$ 2.7	$ 0.9	$ (1.4)	$ 1.9
Asia and Latin America manufacturing and logistics operations [Member]
Restructuring and Related Cost [Line Items]
Total restructuring charges (recoveries)	12.6	0.0	12.6	0.0
(Recoveries) charges associated with restructuring actions previously announced [Member]
Restructuring and Related Cost [Line Items]
Total restructuring charges (recoveries)	$ (9.9)	$ 0.9	$ (14.0)	$ 1.9