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Fair Value - Schedule of Gain/(Loss) Recorded, Net of Income Taxes, in Other Comprehensive Loss (Details) - USD ($) $ in Millions	12 Months Ended
	Jun. 01, 2024	Jun. 03, 2023	May 28, 2022
Interest Rate Swap Agreement
Derivative Instruments, Gain (Loss) [Line Items]
Interest rate swap	$ (27.1)	$ 4.7	$ 41.4

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Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

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-Topic 815
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 4E
-Publisher FASB
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Amount after tax, before reclassification adjustments, of other comprehensive income (loss), attributable to parent.

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-Name Accounting Standards Codification
-Topic 220
-SubTopic 10
-Section 45
-Paragraph 14A
-Publisher FASB
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