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Revenue from Contracts with Customers - Schedule of Contract Assets (Details) - USD ($)
12 Months Ended
Oct. 02, 2021
Oct. 03, 2020
Sep. 28, 2019
Revenue from Contract with Customer [Abstract]      
Contract assets $ 115,283,000 $ 113,946,000 $ 90,841,000
Revenue recognized 3,048,875,000 3,073,465,000  
Amounts collected or invoiced $ (3,047,538,000) $ (3,050,360,000)