Pension and Other Postretirement Benefit Plans - Schedule of Contribution to Multiemployer Pension Plans (Details) - Pension Plan - USD ($) $ in Thousands	12 Months Ended
	Sep. 29, 2023	Sep. 30, 2022	Oct. 01, 2021
Multiemployer Plans [Line Items]
Contributions to multiemployer pension plans	$ 5,922	$ 12,586	$ 13,029
Europe
Multiemployer Plans [Line Items]
Contributions to multiemployer pension plans	1,530	1,548	1,713
U.S. Plans
Multiemployer Plans [Line Items]
Contributions to multiemployer pension plans	$ 4,392	$ 11,038	$ 11,316