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Segments (Sales by Market Type) (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
Aircraft Controls      
Segment Reporting Information [Line Items]      
Net sales 1,389,147 1,256,461 1,161,238
Aircraft Controls | Military      
Segment Reporting Information [Line Items]      
Net sales 700,080 745,376 781,921
Aircraft Controls | Commercial      
Segment Reporting Information [Line Items]      
Net sales 689,067 511,085 379,317
Space and Defense Controls      
Segment Reporting Information [Line Items]      
Net sales 947,251 872,343 799,235
Space and Defense Controls | Space      
Segment Reporting Information [Line Items]      
Net sales 407,153 337,773 332,946
Space and Defense Controls | Defense      
Segment Reporting Information [Line Items]      
Net sales 540,098 534,570 466,289
Industrial Systems      
Segment Reporting Information [Line Items]      
Net sales 982,724 906,979 891,520
Industrial Systems | Energy      
Segment Reporting Information [Line Items]      
Net sales 123,864 125,574 120,173
Industrial Systems | Industrial Automation      
Segment Reporting Information [Line Items]      
Net sales 485,502 435,074 427,076
Industrial Systems | Simulation and Test      
Segment Reporting Information [Line Items]      
Net sales 124,980 99,815 89,459
Industrial Systems | Medical      
Segment Reporting Information [Line Items]      
Net sales $ 248,378 $ 246,516 $ 254,812