Accumulated Other Comprehensive Income (Loss) (Changes in AOCIL by Component) (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 03, 2020	Sep. 28, 2019	Sep. 29, 2018
AOCIL Attributable to Parent, Net of Tax [Roll Forward]
Beginning of year - Moog shareholder's equity, Amount	$ 1,322,481	$ 1,224,986
Other comprehensive income (loss)	130,024	(42,685)	$ 11,624
End of year - Moog shareholder's equity, Amount	1,243,083	1,322,481	1,224,986
Accumulated foreign currency translation
AOCIL Attributable to Parent, Net of Tax [Roll Forward]
Beginning of year - Moog shareholder's equity, Amount	(129,399)	(99,415)
Other comprehensive income (loss) before reclassifications	26,898	(26,501)
Amounts reclassified from AOCIL	(493)	(3,483)
Other comprehensive income (loss)	26,405	(29,984)
End of year - Moog shareholder's equity, Amount	(102,994)	(129,399)	(99,415)
Accumulated retirement liability
AOCIL Attributable to Parent, Net of Tax [Roll Forward]
Beginning of year - Moog shareholder's equity, Amount	(285,734)	(272,928)
Other comprehensive income (loss) before reclassifications	(13,659)	(35,606)
Amounts reclassified from AOCIL	115,740	22,800
Other comprehensive income (loss)	102,081	(12,806)
End of year - Moog shareholder's equity, Amount	(183,653)	(285,734)	(272,928)
Accumulated gain (loss) on derivatives
AOCIL Attributable to Parent, Net of Tax [Roll Forward]
Beginning of year - Moog shareholder's equity, Amount	(344)	(449)
Other comprehensive income (loss) before reclassifications	2,245	41
Amounts reclassified from AOCIL	(707)	64
Other comprehensive income (loss)	1,538	105
End of year - Moog shareholder's equity, Amount	1,194	(344)	(449)
Accumulated Other Comprehensive (Loss) Income
AOCIL Attributable to Parent, Net of Tax [Roll Forward]
Beginning of year - Moog shareholder's equity, Amount	(415,477)	(372,792)	(337,369)
Other comprehensive income (loss) before reclassifications	15,484	(62,066)
Amounts reclassified from AOCIL	114,540	19,381
Other comprehensive income (loss)	130,024	(42,685)	11,654
End of year - Moog shareholder's equity, Amount	$ (285,453)	$ (415,477)	$ (372,792)