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Fair Value Measurements - Interest Rate Swap (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Nov. 27, 2021	Nov. 28, 2020	Nov. 27, 2021	Nov. 28, 2020
Derivative [Line Items]
Gain recognized in Other comprehensive loss (effective portion)	$ 4.0	$ 0.9	$ 3.0	$ 1.2
(Loss) reclassified from Accumulated other comprehensive loss into earnings	(1.2)	$ (1.1)	(1.9)	$ (2.2)
Accumulated Net Gain (Loss) from Cash Flow Hedges Attributable to Parent
Derivative [Line Items]
(Loss) reclassified from Accumulated other comprehensive loss into earnings			(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%