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Inventories, net - Summary of Inventories, Net of Allowance for Obsolescence (Details) - USD ($)
$ in Thousands
Jun. 29, 2024
Sep. 30, 2023
Jun. 24, 2023
Inventory Disclosure [Abstract]      
Raw materials $ 257,294 $ 270,672 $ 286,869
Work in progress 151,797 166,394 158,406
Finished goods 348,110 384,903 399,555
Supplies 27,574 16,219 20,666
Total inventories, net $ 784,775 $ 838,188 $ 865,496