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Employee Benefit Plans - Time-Based Restricted Stock Unit Equity Awards (Details) - Restricted Stock Units (RSUs) [Member]
$ / shares in Units, $ in Millions
 12 Months Ended
Sep. 30, 2025
USD ($)
grant_recipient
$ / shares
shares
Sep. 30, 2024
USD ($)
grant_recipient
$ / shares
shares
Sep. 30, 2023
USD ($)
grant_recipient
$ / shares
shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Options, Vested in Period, Fair Value | $ $ 114.8 $ 184.7 $ 115.2
Number of Restricted Stock Units      
Outstanding at beginning of year, shares | shares 2,309,737 2,966,925 3,466,094
Granted, shares | shares 608,835 663,860 877,131
Vested, shares | shares (884,883) (1,233,866) (1,251,785)
Cancelled, shares | shares (130,880) (87,182) (124,515)
Outstanding at end of year, shares | shares 1,902,809 2,309,737 2,966,925
Weighted Average Grant Date Fair Value      
Outstanding at beginning of year, weighted average grant date fair value, per share | $ / shares $ 95.28 $ 70.85 $ 57.50
Granted, weighted average grant date fair value, per share | $ / shares 156.12 147.79 93.44
Vested, weighted average grant date fair value, per share | $ / shares 79.17 65.51 50.61
Cancelled, weighted average grant date fair value, per share | $ / shares 112.49 85.12 61.95
Outstanding at end of year, weighted average grant date fair value, per share | $ / shares $ 121.06 $ 95.28 $ 70.85
Additional information - restricted stock units      
Share-based compensation expense | $ $ 80.6 $ 77.3 $ 65.7
Unrecognized compensation expense | $ $ 170.3    
Weighted average period over which unrecognized compensation cost is expected to be recognized 2 years 7 months 6 days    
Minimum [Member]      
Additional information - restricted stock units      
Vesting period 3 years    
Maximum [Member]      
Additional information - restricted stock units      
Vesting period 5 years    
Fiscal 2023 Grant      
Additional information - restricted stock units      
RSU grant recipients | grant_recipient     1,380
Fiscal 2024 Grant      
Additional information - restricted stock units      
RSU grant recipients | grant_recipient   1,470  
Fiscal 2025 Grant      
Additional information - restricted stock units      
RSU grant recipients | grant_recipient 1,600