Restructuring, Impairment, and Other Exit Costs (Schedule of restructuring and impairment charges and project-related costs) (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
Restructuring, impairment, and other exit costs [Member]
Restructuring and Related Cost [Line Items]
Total restructuring charges (recoveries)	2.3	0.4	(2.0)	0.9
Cost of Sales [Member]
Restructuring and Related Cost [Line Items]
Total restructuring charges (recoveries)	$ 0.4	$ 0.5	$ 0.6	$ 1.0