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Segments (Sales by Revenue Recognition Method) (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
Transferred over Time      
Segment Reporting Information [Line Items]      
Net sales 2,119,673 1,931,831 1,807,930
Transferred at Point in Time      
Segment Reporting Information [Line Items]      
Net sales 1,199,449 1,103,952 1,044,063
Aircraft Controls      
Segment Reporting Information [Line Items]      
Net sales 1,389,147 1,256,461 1,161,238
Aircraft Controls | Transferred over Time      
Segment Reporting Information [Line Items]      
Net sales 1,098,608 1,003,432 939,251
Aircraft Controls | Transferred at Point in Time      
Segment Reporting Information [Line Items]      
Net sales 290,539 253,029 221,987
Space and Defense Controls      
Segment Reporting Information [Line Items]      
Net sales 947,251 872,343 799,235
Space and Defense Controls | Transferred over Time      
Segment Reporting Information [Line Items]      
Net sales 883,727 806,994 746,613
Space and Defense Controls | Transferred at Point in Time      
Segment Reporting Information [Line Items]      
Net sales 63,524 65,349 52,622
Industrial Systems      
Segment Reporting Information [Line Items]      
Net sales 982,724 906,979 891,520
Industrial Systems | Transferred over Time      
Segment Reporting Information [Line Items]      
Net sales 137,338 121,405 122,066
Industrial Systems | Transferred at Point in Time      
Segment Reporting Information [Line Items]      
Net sales $ 845,386 $ 785,574 $ 769,454