Segment Information - Reconciliation of Segment Profit to Earnings (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Nov. 28, 2021	Nov. 29, 2020	Nov. 28, 2021	Nov. 29, 2020
Segment Reporting [Abstract]
Segment profit	$ 426.4	$ 296.6	$ 909.0	$ 569.1
Less general and administrative expenses	(91.4)	(89.9)	(204.2)	(218.2)
Less depreciation and amortization	(92.1)	(86.0)	(181.1)	(173.6)
Less interest, net	(16.7)	(14.6)	(32.3)	(31.2)
Other (income) expense, net	(0.3)	(0.4)	(0.5)	(7.9)
Earnings before income taxes	$ 225.9	$ 105.7	$ 490.9	$ 138.2