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Fair Value Measurements - Schedule of Interest Rate Swap (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Mar. 01, 2025	Mar. 02, 2024	Mar. 01, 2025	Mar. 02, 2024
Derivative [Line Items]
(Loss) gain recognized in Other comprehensive loss (income) (effective portion)	$ (4.4)	$ (1.1)	$ (22.1)	$ (1.2)
Gain reclassified from Accumulated other comprehensive loss into earnings	5.5	$ 7.9	20.1	$ 23.0
September 2016 Interest Rate Swap
Derivative [Line Items]
Notional Amount	$ 150.0		$ 150.0
Effective Fixed Interest Rate	1.91%		1.91%
June 2017 Interest Rate Swap
Derivative [Line Items]
Notional Amount	$ 75.0		$ 75.0
Effective Fixed Interest Rate	2.348%		2.348%
January 2022 Interest Rate Swap
Derivative [Line Items]
Notional Amount	$ 575.0		$ 575.0
Effective Fixed Interest Rate	1.65%		1.65%
March 2023 Interest Rate Swap
Derivative [Line Items]
Notional Amount	$ 150.0		$ 150.0
Effective Fixed Interest Rate	3.95%		3.95%

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- Definition

Nominal or face amount used to calculate payments on the derivative asset.

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Fixed interest rate related to the interest rate derivative.

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Amount, after tax and reclassification, of gain (loss) from derivative instrument designated and qualifying as cash flow hedge included in assessment of hedge effectiveness.

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