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Segments (Segment Sales by Customer) (Details) - USD ($)
$ in Thousands
 12 Months Ended
Oct. 01, 2022
Oct. 02, 2021
Oct. 03, 2020
Segment Reporting Information [Line Items]      
Net sales $ 3,035,783 $ 2,851,993 $ 2,884,554
Commercial      
Segment Reporting Information [Line Items]      
Net sales 1,513,892 1,371,337 1,495,589
U.S. Government (including OEM)      
Segment Reporting Information [Line Items]      
Net sales 1,279,095 1,250,528 1,187,322
Other      
Segment Reporting Information [Line Items]      
Net sales 242,796 230,128 201,643
Aircraft Controls      
Segment Reporting Information [Line Items]      
Net sales 1,256,461 1,161,238 1,205,750
Aircraft Controls | Commercial      
Segment Reporting Information [Line Items]      
Net sales 511,085 379,317 484,726
Aircraft Controls | U.S. Government (including OEM)      
Segment Reporting Information [Line Items]      
Net sales 566,855 617,034 593,093
Aircraft Controls | Other      
Segment Reporting Information [Line Items]      
Net sales 178,521 164,887 127,931
Space and Defense Controls      
Segment Reporting Information [Line Items]      
Net sales 872,343 799,235 770,114
Space and Defense Controls | Commercial      
Segment Reporting Information [Line Items]      
Net sales 111,569 126,751 133,715
Space and Defense Controls | U.S. Government (including OEM)      
Segment Reporting Information [Line Items]      
Net sales 704,675 614,984 571,045
Space and Defense Controls | Other      
Segment Reporting Information [Line Items]      
Net sales 56,099 57,500 65,354
Industrial Systems      
Segment Reporting Information [Line Items]      
Net sales 906,979 891,520 908,690
Industrial Systems | Commercial      
Segment Reporting Information [Line Items]      
Net sales 891,238 865,269 877,148
Industrial Systems | U.S. Government (including OEM)      
Segment Reporting Information [Line Items]      
Net sales 7,565 18,510 23,184
Industrial Systems | Other      
Segment Reporting Information [Line Items]      
Net sales $ 8,176 $ 7,741 $ 8,358