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Fair Value Measurements - Interest Rate Swap (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Dec. 03, 2022	Nov. 27, 2021	Dec. 03, 2022	Nov. 27, 2021
Derivative [Line Items]
Gain recognized in Other comprehensive loss (effective portion)	$ 7.2	$ 4.0	$ 21.5	$ 3.0
Gain (Loss) reclassified from Accumulated other comprehensive loss into earnings	2.4	$ (1.2)	2.0	$ (1.9)
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 Rate Swap
Derivative [Line Items]
Notional Amount	$ 575.0		$ 575.0
Effective Fixed Interest Rate			1.689%