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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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