Income Taxes - Schedule of Effective Income Tax Rate Reconciliation (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 03, 2025	Sep. 27, 2024	Sep. 29, 2023
Income Tax Expense (Benefit), Effective Income Tax Rate Reconciliation, Amount [Abstract]
Statutory Rate	$ (24)	$ 26	$ 72
State income tax, net of the federal benefit	(9)	(2)	7
Non-controlling interests	(2)	0	(2)
Goodwill impairment	0	0	(39)
Transaction costs	0	(1)	0
Stock-based compensation	0	(4)	0
Nontaxable or nondeductible items	(3)	1	0
Divestitures	(21)	0	0
Tax differential on foreign operations	(1)	(1)	(4)
Tax credits	5	5	2
Valuation allowance	(7)	16	(17)
Unrecognized tax benefits	5	0	0
Other	1	0	0
(Provision) benefit for income taxes	$ (56)	$ 40	$ 19
Effective Income Tax Rate Reconciliation, Percent [Abstract]
Statutory Rate	21.00%	21.00%	21.00%
State income tax, net of the federal benefit	7.80%	(2.00%)	2.20%
Non-controlling interests	1.70%	(0.20%)	(0.50%)
Goodwill impairment	0.00%	0.00%	(11.50%)
Transaction costs	0.00%	(0.80%)	0.00%
Stock-based compensation	0.00%	(3.00%)	0.00%
Nontaxable or nondeductible items	2.60%	0.40%	(0.10%)
Divestitures	18.20%	0.00%	0.00%
Tax differential on foreign operations	0.90%	(0.50%)	(1.00%)
Tax credits	(4.30%)	4.60%	0.60%
Valuation allowance	6.10%	13.00%	(5.10%)
Unrecognized tax benefits	(4.40%)	0.00%	0.00%
Other	(0.90%)	0.00%	0.00%
(Provision) benefit for income taxes	48.70%	32.50%	5.60%