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Share-Based Compensation - Narrative (Details) - shares
12 Months Ended
Sep. 29, 2023
Sep. 30, 2022
Oct. 01, 2021
Feb. 03, 2023
Jan. 29, 2020
Dec. 01, 2013
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Common stock, shares authorized (in shares) 600,000,000 600,000,000        
Forfeiture rate 9.00% 9.00% 9.00%      
Common Stock | Second Amended and Restated 2013 Stock Incentive Plan            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Common stock, shares authorized (in shares)         7,500,000  
Common Stock | Third Amended and Restated 2013 Stock Incentive Plan            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Common stock, shares authorized (in shares)         3,500,000  
Common Stock | 2023 Stock Incentive Plan            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Common stock, shares authorized (in shares)       8,500,000    
2013 Stock Incentive Plan            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Number of shares authorized           25,500,000