Restructuring, Impairment, and Other Exit Costs (Narrative) (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]
Restructuring charges, impairment, and other exit costs	$ 2.7	$ 0.9	$ (1.4)	$ 1.9
Asia and Latin America Segment [Member]
Restructuring and Related Cost [Line Items]
Expected net expense of restructuring action	21.0		21.0
Expected cash payments for restructuring	12.0		12.0
Severance [Member] | Asia and Latin America Segment [Member]
Restructuring and Related Cost [Line Items]
Expected net expense of restructuring action	8.0		8.0
Restructuring expenses recognized	7.9
Other costs [Member] | Asia and Latin America Segment [Member]
Restructuring and Related Cost [Line Items]
Expected net expense of restructuring action	10.0		10.0
Restructuring expenses recognized	4.7
Charges associated with restructuring actions previously announced [Member]
Restructuring and Related Cost [Line Items]
Restructuring charges, impairment, and other exit costs	$ (9.9)	$ 0.9	(14.0)	1.9
Cash payments for restructuring			42.8	$ 5.5
Expected completion date of actions	May 28, 2023
Asia & Latin America route-to-market and supply chain optimization [Member]
Restructuring and Related Cost [Line Items]
Expected net expense of restructuring action	$ 3.0		$ 3.0