Goodwill and Other Intangible Assets - Other Intangible Assets (Details) - USD ($) $ in Thousands	Dec. 28, 2025	Sep. 29, 2025	Dec. 29, 2024	Sep. 30, 2024	Oct. 02, 2023
Schedule of Other Intangible Assets [Line Items]
Intangible assets subject to amortization, gross	$ 35,795		$ 35,152
Intangible assets subject to amortization, accumulated amortization	(35,113)		(31,556)
Intangible assets subject to amortization, net	204		3,118
Indefinite-lived intangible assets and intangible assets subject to amortization, accumulated impairment	(11,559)		(11,559)
Total intangible assets, gross	97,557		91,388
Total intangible assets, net	50,885		48,273
Trademarks and Trade Names
Schedule of Other Intangible Assets [Line Items]
Indefinite-lived intangible assets, gross	61,762		56,236
Indefinite-lived intangible assets and intangible assets subject to amortization, accumulated impairment	(11,081)		(11,081)
Indefinite-lived intangible assets, net	50,681		45,155
WACC (percentage)		11.00%		11.50%	12.50%
Technology
Schedule of Other Intangible Assets [Line Items]
Intangible assets subject to amortization, gross	35,046		34,429
Intangible assets subject to amortization, accumulated amortization	(35,046)		(31,522)
Intangible assets subject to amortization, net	0		2,907
Other Intangible Assets
Schedule of Other Intangible Assets [Line Items]
Intangible assets subject to amortization, gross	749		723
Intangible assets subject to amortization, accumulated amortization	(67)		(34)
Intangible assets subject to amortization, net	204		211
Indefinite-lived intangible assets and intangible assets subject to amortization, accumulated impairment	$ (478)		$ (478)