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Income Taxes - Schedule of Deferred Tax Assets (Details) - USD ($)
$ in Thousands
Oct. 02, 2021
Oct. 03, 2020
Income Tax Examination [Line Items]    
Non-current deferred income tax liabilities $ (19,356) $ (15,721)
Net deferred tax assets 134,329 86,307
Other Noncurrent Assets    
Income Tax Examination [Line Items]    
Deferred tax assets (see Note 16) 153,685 102,028
Other long-term liabilities    
Income Tax Examination [Line Items]    
Non-current deferred income tax liabilities $ (19,356) $ (15,721)