Segments (Segment Sales by Customer) (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 02, 2021	Oct. 03, 2020	Sep. 28, 2019
Segment Reporting Information [Line Items]
Net sales	$ 2,851,993	$ 2,884,554	$ 2,904,663
Commercial
Segment Reporting Information [Line Items]
Net sales	1,371,337	1,495,589	1,693,423
U.S. Government (including OEM)
Segment Reporting Information [Line Items]
Net sales	1,250,528	1,187,322	1,017,905
Other
Segment Reporting Information [Line Items]
Net sales	230,128	201,643	193,335
Aircraft Controls
Segment Reporting Information [Line Items]
Net sales	1,161,238	1,205,750	1,302,972
Aircraft Controls | Commercial
Segment Reporting Information [Line Items]
Net sales	379,317	484,726	680,846
Aircraft Controls | U.S. Government (including OEM)
Segment Reporting Information [Line Items]
Net sales	617,034	593,093	484,203
Aircraft Controls | Other
Segment Reporting Information [Line Items]
Net sales	164,887	127,931	137,923
Space and Defense Controls
Segment Reporting Information [Line Items]
Net sales	799,235	770,114	683,468
Space and Defense Controls | Commercial
Segment Reporting Information [Line Items]
Net sales	126,751	133,715	124,445
Space and Defense Controls | U.S. Government (including OEM)
Segment Reporting Information [Line Items]
Net sales	614,984	571,045	513,250
Space and Defense Controls | Other
Segment Reporting Information [Line Items]
Net sales	57,500	65,354	45,773
Industrial Systems
Segment Reporting Information [Line Items]
Net sales	891,520	908,690	918,223
Industrial Systems | Commercial
Segment Reporting Information [Line Items]
Net sales	865,269	877,148	888,132
Industrial Systems | U.S. Government (including OEM)
Segment Reporting Information [Line Items]
Net sales	18,510	23,184	20,452
Industrial Systems | Other
Segment Reporting Information [Line Items]
Net sales	$ 7,741	$ 8,358	$ 9,639