Property, Plant and Equipment - Schedule of Property, Plant and Equipment (Details) - USD ($) $ in Thousands	Sep. 28, 2024	Sep. 30, 2023
Property, Plant and Equipment [Line Items]
Total property, plant and equipment, gross	$ 1,135,207	$ 1,075,108
Less: accumulated depreciation	(634,095)	(583,072)
Total property, plant and equipment, net	501,112	492,036
Land, buildings and improvements
Property, Plant and Equipment [Line Items]
Total property, plant and equipment, gross	424,453	406,326
Machinery and equipment
Property, Plant and Equipment [Line Items]
Total property, plant and equipment, gross	508,051	468,904
Computer hardware and software
Property, Plant and Equipment [Line Items]
Total property, plant and equipment, gross	178,835	171,003
Capital assets in progress
Property, Plant and Equipment [Line Items]
Total property, plant and equipment, gross	$ 23,868	$ 28,875