Segments (Segment Sales by Customer) (Details) - USD ($) $ in Thousands	3 Months Ended								12 Months Ended
	Oct. 03, 2020	Jun. 27, 2020	Mar. 28, 2020	Dec. 28, 2019	Sep. 28, 2019	Jun. 29, 2019	Mar. 30, 2019	Dec. 29, 2018	Oct. 03, 2020	Sep. 28, 2019	Sep. 29, 2018
Segment Reporting Information [Line Items]
Net sales	$ 706,895	$ 657,539	$ 765,277	$ 754,843	$ 765,207	$ 740,969	$ 718,811	$ 679,676	$ 2,884,554	$ 2,904,663	$ 2,709,468
Aircraft Controls
Segment Reporting Information [Line Items]
Net sales									1,205,750	1,302,972	1,193,505
Space and Defense Controls
Segment Reporting Information [Line Items]
Net sales									770,114	683,468	580,877
Industrial Systems
Segment Reporting Information [Line Items]
Net sales									908,690	918,223	935,086
Commercial
Segment Reporting Information [Line Items]
Net sales									1,495,589	1,693,423	1,643,042
Commercial | Aircraft Controls
Segment Reporting Information [Line Items]
Net sales									484,726	680,846	621,619
Commercial | Space and Defense Controls
Segment Reporting Information [Line Items]
Net sales									133,715	124,445	116,984
Commercial | Industrial Systems
Segment Reporting Information [Line Items]
Net sales									877,148	888,132	904,439
U.S. Government (including OEM)
Segment Reporting Information [Line Items]
Net sales									1,187,322	1,017,905	897,882
U.S. Government (including OEM) | Aircraft Controls
Segment Reporting Information [Line Items]
Net sales									593,093	484,203	447,148
U.S. Government (including OEM) | Space and Defense Controls
Segment Reporting Information [Line Items]
Net sales									571,045	513,250	424,848
U.S. Government (including OEM) | Industrial Systems
Segment Reporting Information [Line Items]
Net sales									23,184	20,452	25,886
Other
Segment Reporting Information [Line Items]
Net sales									201,643	193,335	168,544
Other | Aircraft Controls
Segment Reporting Information [Line Items]
Net sales									127,931	137,923	124,738
Other | Space and Defense Controls
Segment Reporting Information [Line Items]
Net sales									65,354	45,773	39,045
Other | Industrial Systems
Segment Reporting Information [Line Items]
Net sales									$ 8,358	$ 9,639	$ 4,761