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Basis of Presentation and Preparation - Stock Split (Details)
12 Months Ended
Jul. 29, 2024
Oct. 03, 2021
Sep. 29, 2024
$ / shares
Oct. 01, 2023
$ / shares
Organization, Consolidation and Presentation of Financial Statements [Abstract]        
Conversion ratio 5 5    
Common stock, par value (in dollars per share)     $ 0.01 $ 0.01