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Share-Based Compensation (Stock Option Activity) (Details) - USD ($)
$ / shares in Units, $ in Thousands
6 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Sep. 30, 2021
Options      
Outstanding at beginning of the period (shares) 5,090,000    
Granted (shares) 2,000    
Exercised (shares) (249,000)    
Forfeited (shares) (28,000)    
Outstanding at end of the period (shares) 4,815,000    
Options exercisable (shares) 3,752,000    
Options vested and expected to vest (shares) 4,805,000    
Weighted Average Exercise Price/Share      
Weighted average exercise price, outstanding, beginning balance (in dollars per share) $ 13.87    
Weighted average exercise price, granted (in dollars per share) 46.75    
Weighted average exercise price, exercised (in dollars per share) 15.87    
Weighted average exercise price, forfeited (in dollars per share) 20.76    
Weighted average exercise price, outstanding, ending balance (in dollars per share) 13.73    
Weighted average exercise price, exercisable (in dollars per share) 11.51    
Weighted average exercise price, options vested and expected to vest (in dollars per share) $ 13.71    
Weighted Average Remaining Contractual Term      
Weighted average remaining contractual term, outstanding 5 years 4 months 24 days 5 years 10 months 24 days  
Weighted average contractual term, exercisable 4 years 7 months 6 days    
Weighted average remaining contractual term, options vested and expected to vest 5 years 4 months 24 days    
Intrinsic value, outstanding $ 160,085   $ 120,611
Intrinsic value, exercisable 133,087    
Intrinsic value, options vested and expected to vest $ 159,838