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Fair Value Measurements - Additional Information (Details) - USD ($)	3 Months Ended		9 Months Ended
	Mar. 04, 2023	Feb. 26, 2022	Mar. 04, 2023	Feb. 26, 2022
Derivative [Line Items]
Gain (loss) recognized in earnings for hedge ineffectiveness	$ 0	$ 0	$ 0	$ 0
Derivative instruments, loss expected to be reclassified from accumulated other comprehensive income			28,300,000
Derivative instruments, loss expected to be reclassified from accumulated other comprehensive income, net of tax			21,200,000
March 2023 Interest Rate Swap
Derivative [Line Items]
Notional amount	$ 150,000,000.0		$ 150,000,000.0
Interest rate (percent)			3.95%
March 2023 Interest Rate Swap | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate
Derivative [Line Items]
Interest rate (percent)			3.95%
Debt instrument, basis spread on variable rate (percent)			0.11448%

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