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Stock-Based Compensation - Stock Option Awards, Additional Information (Details)
 12 Months Ended
Sep. 28, 2024
USD ($)
$ / shares
shares
Sep. 30, 2023
USD ($)
$ / shares
Sep. 24, 2022
USD ($)
$ / shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Dividend during expected term $ 0    
Granted (in shares) | shares 0    
Time-Based Stock Option      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Exercise price percentage above market price 0.15    
Stock Options      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Dividend during expected term $ 0 $ 0 $ 0
Expected life of option award (in years)   8 years 3 years 8 months 12 days
Stock price volatility (percent)   30.60% 31.10%
Risk free interest rate   3.60% 1.70%
Weighted average grant date fair value of options granted (in usd per share) | $ / shares   $ 12.29 $ 8.77
Total intrinsic value of options exercised 12,000,000.0 $ 3,900,000 $ 6,100,000
Total unrecognized compensation cost $ 300,000    
Weighted average vesting period (in years) 1 year    
Stock Options | Minimum      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Outstanding options to purchase common stock (in usd per share) | $ / shares $ 20.63 $ 20.63 $ 17.10
Stock Options | Maximum      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Outstanding options to purchase common stock (in usd per share) | $ / shares $ 41.10 $ 41.10 $ 41.10
Restricted Stock Awards      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total unrecognized compensation cost $ 24,400,000    
Weighted average vesting period (in years) 3 years    
Selling, General and Administrative Expenses      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock-based compensation expense $ 20,600,000 $ 28,000,000.0 $ 25,800,000
Selling, General and Administrative Expenses | Stock Options      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock-based compensation expense 700,000 3,800,000 4,900,000
Selling, General and Administrative Expenses | Restricted Stock Awards      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock-based compensation expense 13,100,000 16,300,000 13,700,000
Selling, General and Administrative Expenses | 401 (K)      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock-based compensation expense $ 6,800,000 $ 7,900,000 $ 7,200,000