BORROWINGS - Narrative (Details)					12 Months Ended
	May 01, 2025 USD ($)	Apr. 30, 2025	Feb. 22, 2024 USD ($)	Sep. 29, 2023 USD ($)	Oct. 03, 2025 USD ($)	Sep. 27, 2024 USD ($)	Sep. 29, 2023 USD ($)	Aug. 02, 2024 USD ($)
Debt Instrument [Line Items]
Transfer for separation and distribution				$ 1,457,000,000
Original issue discount					$ 1,398,000	$ 1,603,000
Debt outstanding					1,168,500,000	1,162,500,000
Interest on outstanding principal debt					$ 93,600,000	$ 96,800,000	$ 0
Accounts receivable from securitization								$ 250,000,000
Senior secured revolving facility, due September 2028 | Credit facility
Debt Instrument [Line Items]
Covenant prepayment restriction sale of assets percent					100.00%
Covenant prepayment restriction sale of assets maximum					$ 30,000,000
Covenant prepayment restriction adjusted EBITDA percent					7.50%
Covenant prepayment restriction casualty proceeds percent					100.00%
Covenant prepayment restriction casualty proceeds not reinvested trigger					$ 10,000,000
Covenant prepayment restriction debt proceeds percent					100.00%
Covenant interest coverage ratio					2.00
Fees paid	$ 1,600,000
Senior secured revolving facility, due September 2028 | Credit facility | Domestic
Debt Instrument [Line Items]
Collateral pledged percent of subsidiary equity					100.00%
Senior secured revolving facility, due September 2028 | Credit facility | Foreign
Debt Instrument [Line Items]
Collateral pledged percent of subsidiary equity					65.00%
Senior secured revolving facility, due September 2028 | Credit facility | Fiscal quarter ending July 3, 2026
Debt Instrument [Line Items]
Net leverage ratio threshold	4.50
Senior secured revolving facility, due September 2028 | Credit facility | Maximum
Debt Instrument [Line Items]
Accounts receivable from securitization	$ 250,000,000
Secured Debt | Credit facility
Debt Instrument [Line Items]
Weighted-average interest rate					6.79%	7.65%
Secured Debt | Term Loan A-1 | Credit facility
Debt Instrument [Line Items]
Debt amount				800,000,000			800,000,000
Non-cash write-off						$ 3,900,000
Secured Debt | Term Loan A-2 | Credit facility
Debt Instrument [Line Items]
Debt amount				700,000,000			700,000,000
Debt outstanding					$ 477,500,000	$ 497,500,000
Variable rate					2.33%	2.25%
Repaid principal					$ 20,000,000	$ 202,500,000
Secured Debt | Term Loan A-2 | Credit facility | Variable Rate Component One
Debt Instrument [Line Items]
Variable rate			0.10%
Secured Debt | Term Loan A-2 | Credit facility | Minimum | Variable Rate Component Two
Debt Instrument [Line Items]
Variable rate			1.50%
Secured Debt | Term Loan A-2 | Credit facility | Maximum | Variable Rate Component Two
Debt Instrument [Line Items]
Variable rate			2.50%
Secured Debt | Senior secured revolving facility, due September 2028 | Credit facility
Debt Instrument [Line Items]
Debt issuance costs				11,100,000			11,100,000
Secured Debt | Term Loan B-1 | Credit facility
Debt Instrument [Line Items]
Debt amount			$ 800,000,000
Debt issuance costs			11,100,000
Quarterly principal payments			2,000,000
Original issue discount			$ 2,000,000
Debt outstanding					$ 665,000,000	$ 665,000,000
Variable rate					2.25%	2.25%
Repaid principal						$ 135,000,000
Mandatory prepayment, excess cash flow					50.00%
Secured Debt | Term Loan B-1 | Credit facility | Fiscal quarter ending prior to July 3, 2026
Debt Instrument [Line Items]
Mandatory prepayment, excess cash flow					25.00%
Net leverage ratio					3.75
Secured Debt | Term Loan B-1 | Credit facility | Fiscal quarter ending July 3, 2026
Debt Instrument [Line Items]
Mandatory prepayment, excess cash flow					0.00%
Net leverage ratio					3.25
Secured Debt | Term Loan B-1 | Credit facility | Minimum
Debt Instrument [Line Items]
Variable rate			2.00%
Secured Debt | Term Loan B-1 | Credit facility | Maximum
Debt Instrument [Line Items]
Variable rate			2.25%
Revolving Credit Facility | Senior secured revolving facility, due September 2028 | Credit facility
Debt Instrument [Line Items]
Maximum borrowing capacity				300,000,000			300,000,000
Debt issuance costs				2,600,000			$ 2,600,000
Debt outstanding					$ 26,000,000	$ 0
Available for borrowing					268,200,000
Net leverage covenant ratio		4.50
Bad debt expense adjustment to EBITDA	$ 15,000,000
Revolving Credit Facility | Senior secured revolving facility, due September 2028 | Credit facility | Fiscal quarter ending prior to July 3, 2026
Debt Instrument [Line Items]
Net leverage covenant ratio	5.25
Revolving Credit Facility | Senior secured revolving facility, due September 2028 | Credit facility | Fiscal quarter ending July 3, 2026
Debt Instrument [Line Items]
Net leverage covenant ratio	5.00
Revolving Credit Facility | Senior secured revolving facility, due September 2028 | Credit facility | Fiscal quarter ending October 2, 2026
Debt Instrument [Line Items]
Net leverage covenant ratio	4.75
Revolving Credit Facility | Senior secured revolving facility, due September 2028 | Credit facility | First quarter of fiscal 2027
Debt Instrument [Line Items]
Net leverage covenant ratio	4.50
Revolving Credit Facility | Senior secured revolving facility, due September 2028 | Credit facility | Minimum
Debt Instrument [Line Items]
Commitment fee							0.20%
Revolving Credit Facility | Senior secured revolving facility, due September 2028 | Credit facility | Maximum
Debt Instrument [Line Items]
Commitment fee							0.30%
Revolving Credit Facility | Senior secured revolving facility, due September 2028 | Credit facility | Subsidiaries
Debt Instrument [Line Items]
Maximum borrowing capacity				100,000,000			$ 100,000,000
Bridge Loan | Senior secured revolving facility, due September 2028 | Credit facility
Debt Instrument [Line Items]
Maximum borrowing capacity				50,000,000			50,000,000
Letter of Credit | Senior secured revolving facility, due September 2028 | Credit facility
Debt Instrument [Line Items]
Maximum borrowing capacity				$ 30,000,000			$ 30,000,000
Debt outstanding					$ 5,800,000