Income Taxes - Schedule of Temporary Differences Comprising the Net Deferred Income Tax Liability (Details) - USD ($) $ in Thousands	Sep. 29, 2024	Oct. 01, 2023
Deferred Tax Assets:
State taxes	$ 3,916	$ 2,686
Reserves and contingent liabilities	0	2,849
Accounts receivable including the allowance for doubtful accounts	5,315	5,323
Accrued liabilities	64,929	64,155
Lease liabilities, operating leases	51,841	53,437
Stock-based compensation	1,923	1,900
Unbilled revenue	9,273	3,090
Loss and other carry-forwards	48,256	67,673
Property and equipment	0	552
Capitalized research and development	37,417	17,778
Capped call transactions	10,311	12,696
Valuation allowance	(16,841)	(16,559)
Total deferred tax assets	216,340	215,580
Deferred Tax Liabilities:
Prepaid expense	(3,065)	(2,702)
Reserves and contingent liabilities	(153)	0
Right-of-use assets, operating leases	(51,841)	(53,437)
Intangibles	(81,623)	(83,242)
Undistributed earnings	(2,708)	(1,453)
Property and equipment	(1,583)	0
Total deferred tax liabilities	(140,973)	(140,834)
Net deferred tax assets	$ 75,367	$ 74,746