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Acquisitions and Divestitures (Narrative) (Details) - USD ($) $ in Thousands				3 Months Ended			12 Months Ended
	Jun. 29, 2021	Dec. 18, 2020	Nov. 28, 2019	Oct. 02, 2021	Jan. 02, 2021	Dec. 28, 2019	Oct. 02, 2021	Oct. 03, 2020	Sep. 28, 2019
Business Acquisitions and Divestitures
Net cash paid to acquire a business							$ 77,600	$ 54,265	$ 0
Disposal Group, Including Discontinued Operation, Description and Timing of Disposal	On June 29, 2021, we announced that we entered into a definitive agreement to sell the assets of our Navigation Aids ("Navaids") business to Thales. Navaids is engaged in the business of designing, developing, manufacturing and marketing ground and ship-based radio frequency navigation beacons and related antennas for military and civilian applications. The business is based in Salt Lake City, Utah and is included in our Aircraft Controls segment. The transaction is subject to regulatory review and customary closing conditions.
Aircraft Controls
Business Acquisitions and Divestitures
Proceeds from divestiture of businesses					$ 2,081
Aircraft Controls | Other Income
Business Acquisitions and Divestitures
Gain (Loss) on Divestiture					$ (683)
Aircraft Controls | Genesys Aerosystems Group, Inc.
Business Acquisitions and Divestitures
Net cash paid to acquire a business		$ 77,600
Industrial Systems
Business Acquisitions and Divestitures
Proceeds from divestiture of businesses				$ 11,285		$ 1,775
Industrial Systems | Other Income
Business Acquisitions and Divestitures
Gain (Loss) on Divestiture				$ (1,536)		$ 169
Industrial Systems | GAT, Inc.
Business Acquisitions and Divestitures
Net cash paid to acquire a business			$ 54,265

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