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Stock-Based Compensation - Stock-Based Compensation Accounting (Details) - Stock Options
9 Months Ended
Jun. 30, 2022
$ / shares
Weighted average assumptions  
Weighted average fair value (in dollars per share) $ 71.90
Risk-free interest rate (as a percent) 3.00%
Expected dividend yield (as a percent) 0.00%
Expected life (in years) 5 years 2 months 12 days
Expected volatility factor (as a percent) 36.10%