Equity Method Investments and Joint Ventures (Net Investment Balance and Income Loss) (Details) - Other assets - USD ($) $ in Thousands	Dec. 30, 2023	Sep. 30, 2023
Schedule of Equity Method Investments [Line Items]
Equity Method Investments	$ 3,093	$ 2,807
Moog Aircraft Services Asia
Schedule of Equity Method Investments [Line Items]
Equity Method Investments	1,511	1,302
NOVI LLC
Schedule of Equity Method Investments [Line Items]
Equity Method Investments	325	325
Suffolk Technologies Fund 1, L.P.
Schedule of Equity Method Investments [Line Items]
Equity Method Investments	$ 1,257	$ 1,180