PROPERTY, PLANT AND EQUIPMENT - Schedule of Property, Plant and Equipment (Details) - USD ($) $ in Thousands	Jun. 28, 2024	Sep. 30, 2023
Property, Plant and Equipment [Line Items]
Property, plant and equipment, at cost	$ 1,092,041	$ 994,698
Accumulated depreciation	(476,628)	(435,657)
Property, plant and equipment, net	615,413	559,041
Land
Property, Plant and Equipment [Line Items]
Property, plant and equipment, at cost	29,154	29,082
Buildings and related improvements
Property, Plant and Equipment [Line Items]
Property, plant and equipment, at cost	190,892	182,760
Machinery and equipment
Property, Plant and Equipment [Line Items]
Property, plant and equipment, at cost	568,508	513,563
Leasehold improvements
Property, Plant and Equipment [Line Items]
Property, plant and equipment, at cost	21,314	15,910
Software
Property, Plant and Equipment [Line Items]
Property, plant and equipment, at cost	51,547	47,072
Construction in progress
Property, Plant and Equipment [Line Items]
Property, plant and equipment, at cost	$ 230,626	$ 206,311