Other Accrued Liabilities (Schedule of Other Accrued Liabilities) (Details) - USD ($) $ in Thousands	Jan. 01, 2022	Oct. 02, 2021
Accounts Payable and Accrued Liabilities, Current [Abstract]
Contract reserves	$ 52,589	$ 58,857
Employee benefits	62,938	54,146
Warranty accrual	25,026	26,602
Accrued income taxes	15,423	12,908
Other	51,399	59,492
Other accrued liabilities	$ 207,375	$ 212,005