Quarterly Data - Unaudited (Details) - USD ($) $ / shares in Units, $ 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
Quarterly Financial Data [Abstract]
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
Gross profit	172,401	151,984	208,054	211,257	207,010	211,919	197,401	199,502	743,696	815,832	774,091
Net earnings (loss) attributable to Moog	$ (77,977)	$ (12,590)	$ 49,745	$ 50,027	$ 44,555	$ 46,165	$ 41,059	$ 42,769	$ 9,205	$ 174,548	$ 95,240
Net earnings (loss) per share attributable to Moog, Basic	$ (2.40)	$ (0.39)	$ 1.49	$ 1.45	$ 1.28	$ 1.32	$ 1.18	$ 1.23	$ 0.28	$ 5.01	$ 2.67
Net earnings (loss) per share attributable to Moog, Diluted	$ (2.40)	$ (0.39)	$ 1.48	$ 1.44	$ 1.27	$ 1.31	$ 1.17	$ 1.22	$ 0.28	$ 4.96	$ 2.64