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Share-Based Compensation - Time-Based Options (Details)
$ / shares in Units, $ in Millions
1 Months Ended 12 Months Ended
Sep. 30, 2020
tranche
$ / shares
Sep. 29, 2023
USD ($)
$ / shares
Sep. 30, 2022
USD ($)
$ / shares
Oct. 01, 2021
USD ($)
$ / shares
Time-Based Options        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Requisite service period 4 years      
Award vesting period   3 years    
Award expiration period   10 years    
Expected volatility   42.00% 41.00% 40.00%
Expected life (in years)   6 years 3 months 6 years 6 years 29 days
Risk-free interest rate, minimum   3.65% 1.26% 0.52%
Risk-free interest rate, maximum   4.28% 2.96% 1.15%
Weighted-average grant-date fair value (in dollars per share) | $ / shares   $ 17.01 $ 13.27 $ 13.08
Total intrinsic value exercised (in millions) | $   $ 12.0 $ 6.4 $ 14.5
Total fair value that vested (in millions) | $   15.7 13.8 16.0
Retention Time-Based Options        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Total intrinsic value exercised (in millions) | $   0.0 0.0 0.0
Total fair value that vested (in millions) | $   $ 6.9 $ 0.3 $ 0.0
Number of tranches | tranche 6      
Exercise price incremental amount (in dollars per share) | $ / shares $ 10      
Minimum | Time-Based Options        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Expected dividend yield   1.00% 1.18% 1.08%
Minimum | Retention Time-Based Options        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Exercise price (In dollars per share) | $ / shares 35      
Maximum | Time-Based Options        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Expected dividend yield   1.19% 1.30% 1.25%
Maximum | Retention Time-Based Options        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Exercise price (In dollars per share) | $ / shares $ 85