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Fair Value Measurements - Interest Rate Swap (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Feb. 26, 2022	Feb. 27, 2021	Feb. 26, 2022	Feb. 27, 2021
Derivative [Line Items]
Gain recognized in Other comprehensive loss (effective portion)	$ 10.2	$ 6.7	$ 13.2	$ 7.8
(Loss) reclassified from Accumulated other comprehensive loss into earnings	(1.1)	$ (1.1)	(3.1)	$ (3.3)
September 2016 Interest Rate Swap
Derivative [Line Items]
Notional Amount	150.0		$ 150.0
Effective Fixed Interest Rate			1.949%
June 2017 Interest Rate Swap
Derivative [Line Items]
Notional Amount	75.0		$ 75.0
Effective Fixed Interest Rate			2.387%
January 2022 Interest Rates Swap
Derivative [Line Items]
Notional Amount	$ 575.0		$ 575.0
Effective Fixed Interest Rate			1.689%