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Income Taxes - Effective Income Tax Rate Reconciliation (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 02, 2021	Oct. 03, 2020	Sep. 28, 2019
Income Tax Disclosure [Abstract]
Federal tax benefit (expense) at statutory rate	$ 415	$ (2,203)	$ (6,223)
State taxes, net	552	1,508	(611)
Change in uncertain tax positions	(635)	0	0
Share-based compensation	(135)	188	(320)
Permanent items	(20)	(33)	(59)
Valuation allowance	0	(977)	(1,043)
Tax credits	450	390	470
Return to accrual adjustments	476	(260)	115
Investor tax on non-consolidated affiliate income	(28)	(185)	14
Tax rate adjustments	0	0	(32)
Other	116	53	116
Income tax benefit (expense)	$ 1,191	$ (1,519)	$ (7,573)

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