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Inventories, net - Summary of Inventories, Net of Allowance for Obsolescence (Details) - USD ($)
$ in Thousands
Mar. 30, 2024
Sep. 30, 2023
Mar. 25, 2023
Inventory Disclosure [Abstract]      
Raw materials $ 267,032 $ 270,672 $ 295,071
Work in progress 180,877 166,394 190,526
Finished goods 447,595 384,903 454,464
Supplies 18,848 16,219 26,839
Total inventories, net $ 914,352 $ 838,188 $ 966,900