Debt - Narrative (Details) - USD ($)	6 Months Ended
	Apr. 03, 2026	Oct. 03, 2025	Aug. 31, 2024
Interest Rate Swap
Line of Credit Facility [Line Items]
Derivative, notional amount	$ 1,500,000,000
Term Loan | Secured Debt
Line of Credit Facility [Line Items]
Periodic payment, principal	9,000,000
Term Loan | Credit Agreement | Revolving Credit Facility
Line of Credit Facility [Line Items]
Line of credit facility, maximum borrowing capacity	850,000,000
Term Loan | Credit Agreement | Letter of Credit
Line of Credit Facility [Line Items]
Line of credit facility, maximum borrowing capacity	200,000,000
Term Loan | Credit Agreement | Bridge Loan
Line of Credit Facility [Line Items]
Line of credit facility, maximum borrowing capacity	100,000,000
Term Loan | New Credit Facility
Line of Credit Facility [Line Items]
Line of credit facility, remaining borrowing capacity	769,000,000	$ 766,000,000
Term Loan | New Credit Facility | Letter of Credit
Line of Credit Facility [Line Items]
Line of credit facility, remaining borrowing capacity	$ 81,000,000	$ 84,000,000
Senior notes
Line of Credit Facility [Line Items]
Debt instrument, face amount			$ 1,000,000,000
Debt instrument, interest rate, stated percentage			7.25%