Long-Term Debt - Narrative (Details)	12 Months Ended
	Sep. 30, 2022 USD ($)	Oct. 01, 2021 USD ($)	Sep. 30, 2021 USD ($)	Oct. 31, 2001 USD ($)
Line of Credit Facility [Line Items]
Revolving credit facility borrowings, outstanding amount	$ 0		$ 400,000
Industrial Development Revenue Bonds
Line of Credit Facility [Line Items]
Borrowings				$ 8,000,000
Final annual redemption		$ 400,000
Amended And Restated Credit Agreement | U.S. Revolver
Line of Credit Facility [Line Items]
Revolving credit facility	75,000,000
Cash collateral pledged balance	30,000,000
Letters of credit, collateral outstanding (not to be less than)	0
Revolving credit facility borrowings, outstanding amount	0
Amount of credit facility remaining borrowing capacity	$ 38,300,000
Debt covenant, consolidated leverage ratio (less than)	3.0
Debt covenant, consolidated interest coverage ratio (greater than)	3.0
Percentage of voting capital stock pledged as collateral	100.00%
Non-domestic subsidiaries of voting capital stock	65.00%
Amended And Restated Credit Agreement | U.S. Revolver | Federal Funds Rate
Line of Credit Facility [Line Items]
Basis spread on variable rate	0.50%
Amended And Restated Credit Agreement | U.S. Revolver | Eurocurrency Rate | Maximum
Line of Credit Facility [Line Items]
Basis spread on variable rate	1.75%
Amended And Restated Credit Agreement | U.S. Revolver | LIBOR
Line of Credit Facility [Line Items]
Basis spread on variable rate	1.00%
Amended And Restated Credit Agreement | U.S. Revolver | Base Rate | Minimum
Line of Credit Facility [Line Items]
Basis spread on variable rate	(0.25%)
Amended And Restated Credit Agreement | U.S. Revolver | Financial Standby Letter of Credit
Line of Credit Facility [Line Items]
Guarantee liability, letters of credit	$ 36,700,000