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DEBT AND FINANCING OBLIGATIONS - Narrative (Details) - USD ($) $ in Millions		3 Months Ended
	Sep. 27, 2024	Aug. 25, 2024	Aug. 27, 2023
Debt Instrument [Line Items]
Available amount under committed revolving credit facilities		$ 1,004.0
Interest paid		$ 56.7	$ 56.9
Term Five Loan Facility Due 2031 \| Secured Debt \| Subsequent Event
Debt Instrument [Line Items]
Term loan facility	$ 500.0
Term Five Loan Facility Due 2031 \| Secured Debt \| Revolving Credit Facility \| Subsequent Event
Debt Instrument [Line Items]
Repayments of debt	$ 275.0
Term Five Loan Facility Due 2031 \| Secured Debt \| Minimum \| Base Rate \| Subsequent Event
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate	0.85%
Term Five Loan Facility Due 2031 \| Secured Debt \| Minimum \| Secured Overnight Financing Rate And Fixed Rate \| Subsequent Event
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate	1.85%
Term Five Loan Facility Due 2031 \| Secured Debt \| Maximum \| Base Rate \| Subsequent Event
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate	1.85%
Term Five Loan Facility Due 2031 \| Secured Debt \| Maximum \| Secured Overnight Financing Rate And Fixed Rate \| Subsequent Event
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate	2.85%