Segment Information - Reconciliation of Segment Gross Profit (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 01, 2022	Oct. 02, 2021	Oct. 03, 2020
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Segment gross profit	$ 36,546	$ 72,141	$ 96,200
Selling, general and administrative expenses	(77,246)	(65,619)	(74,206)
Interest expense	(14,675)	(9,682)	(12,252)
Interest income	9	4	11
Other income, net	2,947	1,776	738
Loss on debt modification	(632)	(598)	0
(Loss) income before income taxes	(53,051)	(1,978)	10,491
Operating Segments
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Segment gross profit	36,546	72,141	96,200
Segment Reconciling Items
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Selling, general and administrative expenses	(77,246)	(65,619)	(74,206)
Interest expense	(14,675)	(9,682)	(12,252)
Interest income	9	4	11
Other income, net	2,947	1,776	738
Loss on debt modification	$ (632)	$ (598)	$ 0