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Revenue from Contracts with Customers - Schedule of Contract Assets (Details) - USD ($)
12 Months Ended
Oct. 01, 2022
Oct. 02, 2021
Oct. 03, 2020
Revenue from Contract with Customer [Abstract]      
Contract assets $ 138,540,000 $ 115,283,000 $ 113,946,000
Revenue recognized 3,180,108,000 3,048,875,000  
Amounts collected or invoiced $ (3,156,851,000) $ (3,047,538,000)