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Fair Value Measurements - Interest Rate Swap (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Dec. 02, 2023	Dec. 03, 2022	Dec. 02, 2023	Dec. 03, 2022
Derivative [Line Items]
(Loss) Gain recognized in Other comprehensive loss (effective portion)	$ (7.9)	$ 7.2	$ (0.1)	$ 21.5
Gain reclassified from Accumulated other comprehensive loss into earnings	7.7	$ 2.4	15.1	$ 2.0
September 2016 Interest Rate Swap
Derivative [Line Items]
Notional Amount	150.0		$ 150.0
Effective Fixed Interest Rate			1.91%
June 2017 Interest Rate Swap
Derivative [Line Items]
Notional Amount	75.0		$ 75.0
Effective Fixed Interest Rate			2.348%
January 2022 Interest Rate Swap
Derivative [Line Items]
Notional Amount	575.0		$ 575.0
Effective Fixed Interest Rate			1.65%
March 2023 Interest Rate Swap
Derivative [Line Items]
Notional Amount	$ 150.0		$ 150.0
Effective Fixed Interest Rate			3.95%