Income Taxes - Schedule of Temporary Differences Comprising the Net Deferred Income Tax Liability (Details) - USD ($) $ in Thousands	Sep. 28, 2025	Sep. 29, 2024
Deferred Tax Assets:
State taxes	$ 2,973	$ 3,916
Reserves and contingent liabilities	7,620	0
Accounts receivable including the allowance for doubtful accounts	6,674	5,315
Accrued liabilities	51,924	64,929
Lease liabilities, operating leases	57,769	51,841
Stock-based compensation	1,772	1,923
Unbilled revenue	13,524	9,273
Loss and other carry-forwards	30,201	48,256
Property and equipment	8	0
Capitalized research and development	54,969	37,417
Capped call transactions	7,841	10,311
Valuation allowance	(17,791)	(16,841)
Total deferred tax assets	217,484	216,340
Deferred Tax Liabilities:
Prepaid expense	(1,775)	(3,065)
Reserves and contingent liabilities	0	(153)
Right-of-use assets, operating leases	(55,736)	(51,841)
Intangibles	(74,883)	(81,623)
Undistributed earnings	(3,647)	(2,708)
Property and equipment	0	(1,583)
Total deferred tax liabilities	(136,041)	(140,973)
Net deferred tax assets	81,443	75,367
Deferred tax assets	106,238	105,529
Deferred tax liabilities	(24,795)	(30,162)
Continuing Operations
Deferred Tax Liabilities:
Deferred tax assets	106,238	105,529
Deferred tax liabilities	(21,333)	(30,162)
Discontinued Operations
Deferred Tax Liabilities:
Deferred tax assets	0	0
Deferred tax liabilities	$ (3,462)	$ 0