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Segments (Segment Sales by Customer) (Details) - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2023
Oct. 01, 2022
Oct. 02, 2021
Segment Reporting Information [Line Items]      
Net sales $ 3,319,122 $ 3,035,783 $ 2,851,993
Commercial      
Segment Reporting Information [Line Items]      
Net sales 1,767,711 1,513,892 1,371,337
U.S. Government (including OEM)      
Segment Reporting Information [Line Items]      
Net sales 1,301,466 1,279,095 1,250,528
Other      
Segment Reporting Information [Line Items]      
Net sales 249,945 242,796 230,128
Aircraft Controls      
Segment Reporting Information [Line Items]      
Net sales 1,389,147 1,256,461 1,161,238
Aircraft Controls | Commercial      
Segment Reporting Information [Line Items]      
Net sales 689,067 511,085 379,317
Aircraft Controls | U.S. Government (including OEM)      
Segment Reporting Information [Line Items]      
Net sales 518,033 566,855 617,034
Aircraft Controls | Other      
Segment Reporting Information [Line Items]      
Net sales 182,047 178,521 164,887
Space and Defense Controls      
Segment Reporting Information [Line Items]      
Net sales 947,251 872,343 799,235
Space and Defense Controls | Commercial      
Segment Reporting Information [Line Items]      
Net sales 112,777 111,569 126,751
Space and Defense Controls | U.S. Government (including OEM)      
Segment Reporting Information [Line Items]      
Net sales 778,229 704,675 614,984
Space and Defense Controls | Other      
Segment Reporting Information [Line Items]      
Net sales 56,245 56,099 57,500
Industrial Systems      
Segment Reporting Information [Line Items]      
Net sales 982,724 906,979 891,520
Industrial Systems | Commercial      
Segment Reporting Information [Line Items]      
Net sales 965,867 891,238 865,269
Industrial Systems | U.S. Government (including OEM)      
Segment Reporting Information [Line Items]      
Net sales 5,204 7,565 18,510
Industrial Systems | Other      
Segment Reporting Information [Line Items]      
Net sales $ 11,653 $ 8,176 $ 7,741