Restructuring, Impairment, and Other Exit Costs (Restructuring by Project) (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Feb. 27, 2022	Feb. 28, 2021	Feb. 27, 2022	Feb. 28, 2021
Restructuring and Related Cost [Line Items]
Total restructuring charges (recoveries)	$ 9.3	$ 11.7	$ 7.9	$ 13.6
International manufacturing and logistics operations [Member]
Restructuring and Related Cost [Line Items]
Total restructuring charges (recoveries)	1.7	0.0	14.3	0.0
Charges (recoveries) associated with restructuring actions previously announced [Member]
Restructuring and Related Cost [Line Items]
Total restructuring charges (recoveries)	$ 7.6	$ 11.7	$ (6.4)	$ 13.6