Stock Employee Compensation Trust and Supplemental Retirement Plan Trust	3 Months Ended
	Jan. 01, 2022
Share-based Payment Arrangement, Noncash Expense [Abstract]
Stock Employee Compensation Trust and Supplemental Retirement Plan Trust	Stock Employee Compensation Trust and Supplemental Retirement Plan TrustThe SECT assists in administering and provides funding for equity-based compensation plans and benefit programs, including the Moog Inc. Retirement Savings Plan ("RSP") and the Employee Stock Purchase Plan ("ESPP"). SERP Trust provides funding for benefits under the SERP provisions of the Moog Inc. Plan to Equalize Retirement Income and Supplemental Retirement Income. Both the SECT and the SERP Trust hold Moog shares as investments. The shares in the SECT and SERP Trust are not considered outstanding for purposes of calculating earnings per share. However, in accordance with the trust agreements governing the SECT and SERP Trust, the trustees vote all shares held by the SECT and SERP Trust on all matters submitted to shareholders.