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Stock-Based Employee Benefit Plans - Summary of Option Activity (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Thousands
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Shares      
Outstanding at September 30, 2023 (in shares) 227    
Granted (in shares) 9    
Exercised (in shares) (47)    
Outstanding at September 30, 2024 (in shares) 189 227  
Options exercisable at September 30, 2024 (in shares) 119    
Vested and expected to vest at September 30, 2024 (in shares) 185    
Weighted- average Exercise Price      
Outstanding at September 30, 2023 (in dollars per share) $ 387.95    
Granted (in dollars per share) 1,198    
Exercised (in dollars per share) 176.46    
Outstanding at September 30, 2024 (in dollars per share) 479.26 $ 387.95  
Options exercisable at September 30, 2024 (in dollars per share) 290.75    
Vested and expected to vest at September 30, 2024 (in dollars per share) $ 471.93    
Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Additional Disclosures [Abstract]      
Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Weighted Average Remaining Contractual Term 3 years 3 months 18 days    
Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested and Expected to Vest, Exercisable, Weighted Average Remaining Contractual Term 1 year 11 months 23 days    
Vested and expected to vest - Weighted average remaining term 3 years 3 months    
Vested and expected to vest - Aggregate Intrinsic value $ 272,681    
Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Intrinsic Value 277,150    
Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested and Expected to Vest, Exercisable, Aggregate Intrinsic Value $ 196,829    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Weighted average fair value of options granted (in dollars per share) $ 419.00 $ 289.54 $ 134.91
Number of options that had exercise prices lower than the market price of common stock (in shares) 189    
Market price of common stock (in dollars per share) $ 1,943.52    
Total intrinsic value of options exercised $ 49,100 $ 16,700 $ 14,500
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Number 189 227  
Equity Option [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Weighted average expected term (years) 4 years 5 months 15 days 5 years 2 months 23 days 4 years 5 months 4 days
Expected volatility (range), maximum 33.90% 35.50% 34.10%
Weighted average volatility 33.70% 33.50% 33.20%
Risk free interest rate, maximum 4.30% 4.49% 2.85%
Average expected dividend yield 0.00% 0.00% 0.00%
Expected volatility (range), minimum 33.60% 33.40% 32.90%
Risk free interest rate, minimum 4.18% 3.40% 1.18%