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Intangible Assets - Additional Information (Details) - USD ($)
$ in Thousands
Jul. 02, 2021
Oct. 02, 2020
Finite-Lived Intangible Assets [Line Items]    
Accumulated amortization $ 332,613 $ 297,806
Developed technology    
Finite-Lived Intangible Assets [Line Items]    
Accumulated amortization 163,500 152,100
Customer relationships    
Finite-Lived Intangible Assets [Line Items]    
Accumulated amortization $ 169,100 $ 145,700