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Fair Value Measurements - Interest Rate Swap (Details) - USD ($) $ in Millions	3 Months Ended
	Sep. 03, 2022	Aug. 28, 2021
Derivative [Line Items]
Gain recognized in Other comprehensive loss (effective portion)	$ 14.3	$ (1.0)
(Loss) reclassified from Accumulated other comprehensive loss into earnings	(0.4)	$ (0.8)
September 2016 Interest Rate Swap
Derivative [Line Items]
Notional Amount	$ 150.0
Effective Fixed Interest Rate	1.949%
June 2017 Interest Rate Swap
Derivative [Line Items]
Notional Amount	$ 75.0
Effective Fixed Interest Rate	2.387%
January 2022 Interest Rate Swap
Derivative [Line Items]
Notional Amount	$ 575.0
Effective Fixed Interest Rate	1.689%

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