Restructuring and Non-recurring Charges Schedule of Restructuring Accrual Activity (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 28, 2024	Sep. 30, 2023	Oct. 01, 2022	Oct. 02, 2021
Restructuring Cost and Reserve [Line Items]
Restructuring Reserve	$ 2,605	$ 622	$ 112	$ 71
Restructuring and other charges, net	20,257	23,094	2,021
Amounts utilized	(18,274)	(22,584)	(1,980)
Termination and Severance Costs
Restructuring Cost and Reserve [Line Items]
Restructuring Reserve	1,496	622	112	71
Restructuring and other charges, net	14,130	8,865	1,766
Amounts utilized	(13,256)	(8,355)	(1,725)
Fixed Asset and Operating ROU Asset Impairment
Restructuring Cost and Reserve [Line Items]
Restructuring Reserve	1,109	0	0	0
Restructuring and other charges, net	8,377	0	255
Amounts utilized	(7,268)	0	(255)
Arbitration Charge
Restructuring Cost and Reserve [Line Items]
Restructuring Reserve	0	0	0	$ 0
Restructuring and other charges, net	(2,250)	14,229	0
Amounts utilized	$ 2,250	$ (14,229)	$ 0