Income Taxes - Narrative (Details) - USD ($) $ in Thousands		3 Months Ended	12 Months Ended
	Jun. 30, 2025	Dec. 29, 2024	Sep. 28, 2025	Sep. 29, 2024	Oct. 01, 2023	Oct. 02, 2022
Operating Loss Carryforwards [Line Items]
Effective tax rate			34.30%	28.10%	31.80%
Impairment of goodwill	$ 0		$ 92,416	$ 0	$ 0
Nondeductible expense, impairment losses, amount			58,300
Legal fees		$ 115,000	115,000	0	0
Nondeductible expense, legal contingency charge, amount			31,300
Non-operating income tax expense				4,200	20,600
Reduction in tax expense (benefit), share-based payment arrangement, amount			$ 1,600	$ 4,500	$ 4,600
Effective tax rates, excluding valuation allowance release, non-deductible goodwill impairment charge, transaction costs, and excess tax benefits on share-based payments			27.40%	28.10%	27.80%
Valuation allowance			$ 17,791	$ 16,841
Unrecognized tax benefits			40,859	41,440	$ 53,619	$ 8,908
Accrual of additional interest and penalties			3,400	3,800	4,600
Reduction in accrued interest and penalties				3,200	2,000
Amount of interest and penalties accrued			12,000	$ 8,600	$ 8,000
State
Operating Loss Carryforwards [Line Items]
Net operating loss carryforwards			25,300
Net operating loss carry forwards which expire at various dates			24,700
Net operating loss carry forwards which have no expiration date			600
Foreign
Operating Loss Carryforwards [Line Items]
Net operating loss carryforwards			71,100
Net operating loss carry forwards which expire at various dates			12,700
Net operating loss carry forwards which have no expiration date			58,400
Capital loss carryforwards			40,400
Interest restriction allowances			$ 4,400