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Revenue from Contracts with Customers - Schedule of Contract Assets (Details) - USD ($)
$ in Thousands
9 Months Ended
Jul. 02, 2022
Jul. 03, 2021
Oct. 02, 2021
Oct. 03, 2020
Revenue from Contract with Customer [Abstract]        
Contract assets $ 128,050 $ 114,022 $ 115,283 $ 113,946
Revenue recognized 2,279,559 2,303,287    
Amounts collected or invoiced $ (2,266,792) $ (2,303,211)