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Segments (Sales by Revenue Recognition Method) (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
Transferred over Time      
Segment Reporting Information [Line Items]      
Net sales 1,931,831 1,807,930 1,870,624
Transferred at Point in Time      
Segment Reporting Information [Line Items]      
Net sales 1,103,952 1,044,063 1,013,930
Aircraft Controls      
Segment Reporting Information [Line Items]      
Net sales 1,256,461 1,161,238 1,205,750
Aircraft Controls | Transferred over Time      
Segment Reporting Information [Line Items]      
Net sales 1,003,432 939,251 1,018,190
Aircraft Controls | Transferred at Point in Time      
Segment Reporting Information [Line Items]      
Net sales 253,029 221,987 187,560
Space and Defense Controls      
Segment Reporting Information [Line Items]      
Net sales 872,343 799,235 770,114
Space and Defense Controls | Transferred over Time      
Segment Reporting Information [Line Items]      
Net sales 806,994 746,613 700,068
Space and Defense Controls | Transferred at Point in Time      
Segment Reporting Information [Line Items]      
Net sales 65,349 52,622 70,046
Industrial Systems      
Segment Reporting Information [Line Items]      
Net sales 906,979 891,520 908,690
Industrial Systems | Transferred over Time      
Segment Reporting Information [Line Items]      
Net sales 121,405 122,066 152,366
Industrial Systems | Transferred at Point in Time      
Segment Reporting Information [Line Items]      
Net sales $ 785,574 $ 769,454 $ 756,324