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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%

X
- Definition Share Based Compensation Arrangement By Share-based Payment Award, Options, Outstanding, Number, With Exercise Prices Lower Than Market Price + References No definition available. + Details
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- Definition The estimated measure of the maximum percentage by which a share price is expected to fluctuate during a period. Volatility also may be defined as a probability-weighted measure of the dispersion of returns about the mean. The volatility of a share price is the standard deviation of the continuously compounded rates of return on the share over a specified period. That is the same as the standard deviation of the differences in the natural logarithms of the stock prices plus dividends, if any, over the period. + References No definition available. + Details
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