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Revenue from Contracts with Customers - Schedule of Contract Assets (Details) - USD ($)
$ in Thousands
6 Months Ended
Apr. 01, 2023
Apr. 02, 2022
Oct. 01, 2022
Oct. 02, 2021
Revenue from Contract with Customer [Abstract]        
Contract assets $ 133,029 $ 116,087 $ 138,540 $ 115,283
Revenue recognized 1,743,054 1,460,802    
Amounts collected or invoiced $ (1,748,565) $ (1,459,998)