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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, 2023
Sep. 30, 2022
Sep. 30, 2021
Shares      
Outstanding at September 30, 2022 (in shares) 209    
Granted (in shares) 58    
Exercised (in shares) (38)    
Forfeited (in shares) (2)    
Outstanding at September 30, 2023 (in shares) 227 209  
Options exercisable at September 30, 2023 (in shares) 153    
Vested and expected to vest at September 30, 2023 (in shares) 221    
Weighted- average Exercise Price      
Outstanding at September 30, 2022 (in dollars per share) $ 247.56    
Granted (in dollars per share) 779.98    
Exercised (in dollars per share) 214.00    
Forfeited (in dollars per share) 390.14    
Outstanding at September 30, 2023 (in dollars per share) 387.95 $ 247.56  
Options exercisable at September 30, 2023 (in dollars per share) 236.84    
Vested and expected to vest at September 30, 2023 (in dollars per share) $ 377.24    
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 6 months 18 days    
Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested and Expected to Vest, Exercisable, Weighted Average Remaining Contractual Term 2 years 3 months 18 days    
Vested and expected to vest - Weighted average remaining term 3 years 5 months 15 days    
Vested and expected to vest - Aggregate Intrinsic value $ 108,544    
Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Intrinsic Value 109,242    
Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested and Expected to Vest, Exercisable, Aggregate Intrinsic Value $ 96,648    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Weighted average fair value of options granted (in dollars per share) $ 289.54 $ 134.91 $ 139.11
Number of options that had exercise prices lower than the market price of common stock (in shares) 227    
Market price of common stock (in dollars per share) $ 868.53    
Total intrinsic value of options exercised $ 16,700 $ 14,500 $ 15,800
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Number 227 209  
Equity Option [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Weighted average expected term (years) 5 years 2 months 23 days 4 years 5 months 4 days 4 years 5 months 19 days
Expected volatility (range), maximum 35.50% 34.10% 34.40%
Weighted average volatility 33.50% 33.20% 33.90%
Risk free interest rate, maximum 4.49% 2.85% 0.73%
Average expected dividend yield 0.00% 0.00% 0.00%
Expected volatility (range), minimum 33.40% 32.90% 33.60%
Risk free interest rate, minimum 3.40% 1.18% 0.29%