Restructuring, Impairment, and Other Exit Costs (Schedule of restructuring and impairment charges and project-related costs) (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
Restructuring, impairment, and other exit costs [Member]
Restructuring and Related Cost [Line Items]
Total restructuring charges (recoveries)	7.1	11.0	5.1	11.9
Cost of Sales [Member]
Restructuring and Related Cost [Line Items]
Total restructuring charges (recoveries)	$ 2.2	$ 0.7	$ 2.8	$ 1.7