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Reportable Segments - Schedule of Reportable Segments Information (Details) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
Jul. 01, 2023
Jul. 02, 2022
Jul. 01, 2023
Jul. 02, 2022
Oct. 01, 2022
Net sales $ 1,021,610 $ 981,341 $ 3,186,358 $ 2,687,520  
Operating income: 28,204 49,561 142,487 115,871  
Total assets 3,418,943   3,418,943   $ 3,393,225
Other income (expense):          
Interest expense (8,231) (3,923) (23,412) (10,314)  
Interest income 598 318 2,291 851  
Miscellaneous, net (3,194) (2,678) (6,750) (5,047)  
Income before income taxes 17,377 43,278 114,616 101,361  
Elimination of inter-segment sales          
Net sales (26,283) (31,713) (79,344) (86,207)  
Corporate and other costs          
Operating income: (58,342) (37,298) (136,615) (103,541)  
Corporate and eliminations          
Total assets 34,385   34,385   132,177
AMER | Operating Segments          
Net sales 371,358 342,572 1,168,826 931,123  
Operating income: 15,927 16,976 59,109 26,535  
Total assets 1,169,505   1,169,505   1,150,605
APAC | Operating Segments          
Net sales 572,150 586,305 1,801,324 1,611,862  
Operating income: 69,836 67,286 217,970 188,834  
Total assets 1,785,748   1,785,748   1,807,542
EMEA | Operating Segments          
Net sales 104,385 84,177 295,552 230,742  
Operating income: 783 $ 2,597 2,023 $ 4,043  
Total assets $ 429,305   $ 429,305   $ 302,901