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Revenue from Contracts with Customers - Schedule of Contract Assets (Details) - USD ($)
$ in Thousands
3 Months Ended
Jan. 01, 2022
Jan. 02, 2021
Oct. 02, 2021
Oct. 03, 2020
Revenue from Contract with Customer [Abstract]        
Contract assets $ 105,450 $ 113,225 $ 115,283 $ 113,946
Revenue recognized 709,723 753,565    
Amounts collected or invoiced $ (719,556) $ (754,286)