Property, Plant and Equipment - Schedule of Property, Plant and Equipment (Details) - USD ($) $ in Thousands	Oct. 01, 2022	Oct. 02, 2021
Property, Plant and Equipment [Line Items]
Total property, plant and equipment, gross	$ 1,000,947	$ 952,780
Less: accumulated depreciation	(556,242)	(557,686)
Total property, plant and equipment, net	444,705	395,094
Land, buildings and improvements
Property, Plant and Equipment [Line Items]
Total property, plant and equipment, gross	386,623	336,939
Machinery and equipment
Property, Plant and Equipment [Line Items]
Total property, plant and equipment, gross	421,717	420,172
Computer hardware and software
Property, Plant and Equipment [Line Items]
Total property, plant and equipment, gross	164,420	167,584
Capital assets in progress
Property, Plant and Equipment [Line Items]
Total property, plant and equipment, gross	$ 28,187	$ 28,085