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Revenue from Contracts with Customers - Schedule of Contract Assets (Details) - USD ($)
$ in Thousands
6 Months Ended
Apr. 02, 2022
Apr. 03, 2021
Oct. 02, 2021
Oct. 03, 2020
Revenue from Contract with Customer [Abstract]        
Contract assets $ 116,087 $ 116,440 $ 115,283 $ 113,946
Revenue recognized 1,460,802 1,559,878    
Amounts collected or invoiced $ (1,459,998) $ (1,557,384)