Income Taxes - Narrative (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 29, 2024	Oct. 01, 2023	Oct. 02, 2022	Oct. 03, 2021
Operating Loss Carryforwards [Line Items]
Effective tax rate	28.10%	31.80%	24.50%
Non-operating income tax expense	$ 4,200	$ 20,600
Deferred tax liabilities for undistributed foreign earnings	2,708	1,453
Reduction in income tax expense due to excess tax benefits on share-based payments	$ 4,500	$ 4,600	$ 10,300
Effective tax rates, excluding valuation allowance release, non-deductible goodwill impairment charge, transaction costs, and excess tax benefits on share-based payments	28.10%	27.80%	27.50%
Valuation allowance	$ 16,841	$ 16,559
Unrecognized tax benefits	41,440	53,619	$ 8,908	$ 12,899
Accrual of additional interest and penalties	3,800	4,600	500
Reduction in accrued interest and penalties	3,200	2,000	400
Amount of interest and penalties accrued	8,600	$ 8,000	$ 5,300
State
Operating Loss Carryforwards [Line Items]
Net operating loss carry forwards which expire at various dates	26,600
Foreign
Operating Loss Carryforwards [Line Items]
Net operating loss carry forwards which have no expiration date	108,900
Net operating loss carry forwards which expire at various dates	15,000
Net operating loss carryforwards	123,900
Capital loss carryforwards	41,400
Interest restriction allowances	7,500
Research and development credits	$ 4,200