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Stockholders' Deficit - (Details) - USD ($)
$ / shares in Units, $ in Thousands
 3 Months Ended 12 Months Ended
Oct. 15, 2018
Jan. 04, 2020
Oct. 02, 2021
Oct. 03, 2020
Sep. 28, 2019
Nov. 13, 2018
Class of Stock [Line Items]            
Convertible preferred stock, shares issued upon conversion (in shares)           799,615
Tender offer, repurchase of common stock, held as treasury stock (in shares) 1,782,568          
Tender offer, repurchase of common stock, held as treasury stock, cost per share (in dollars per share) $ 28.00          
Aggregate cost of tender offer repurchase of common stock and preferred stock, including fees and expenses $ 50,300   $ 0 $ 0 $ 50,370  
Convertible Preferred Stock            
Class of Stock [Line Items]            
Tender offer, repurchase of preferred stock (in shares) 364       364  
Tender offer, repurchase of preferred stock (in dollars per share) $ 241.69          
Letters of Credit | Credit Facility | Credit Agreement            
Class of Stock [Line Items]            
Funding received $ 50,000 $ 50,000