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Share-Based Compensation - Schedule of Options Outstanding Broken Down by Exercise Price (Details)
 12 Months Ended
Sep. 30, 2025
$ / shares
shares
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]  
Number of outstanding options (in shares) | shares 4,660,751
Weighted average exercise price (in dollars per share) $ 39.97
Weighted Average Remaining Term (in Years) 4 years 5 months 19 days
$15.00 - $20.00  
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]  
Exercise price range, lower range limit (in dollars per share) $ 15.00
Exercise price range, upper range limit (in dollars per share) $ 20.00
Number of outstanding options (in shares) | shares 1,080,000
Weighted average exercise price (in dollars per share) $ 20.00
Weighted Average Remaining Term (in Years) 1 year 2 months 4 days
$25.00 - $30.00  
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]  
Exercise price range, lower range limit (in dollars per share) $ 25.00
Exercise price range, upper range limit (in dollars per share) $ 30.00
Number of outstanding options (in shares) | shares 517,508
Weighted average exercise price (in dollars per share) $ 26.79
Weighted Average Remaining Term (in Years) 2 years 9 months 25 days
$40.00 - $45.00  
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]  
Exercise price range, lower range limit (in dollars per share) $ 40.00
Exercise price range, upper range limit (in dollars per share) $ 45.00
Number of outstanding options (in shares) | shares 2,155,294
Weighted average exercise price (in dollars per share) $ 42.77
Weighted Average Remaining Term (in Years) 6 years 3 days
$45.00 - $50.00  
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]  
Exercise price range, lower range limit (in dollars per share) $ 45.00
Exercise price range, upper range limit (in dollars per share) $ 50.00
Number of outstanding options (in shares) | shares 386,670
Weighted average exercise price (in dollars per share) $ 47.26
Weighted Average Remaining Term (in Years) 5 years 4 months 9 days
$50.00 - $85.00  
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]  
Exercise price range, lower range limit (in dollars per share) $ 50.00
Exercise price range, upper range limit (in dollars per share) $ 85.00
Number of outstanding options (in shares) | shares 521,279
Weighted average exercise price (in dollars per share) $ 77.41
Weighted Average Remaining Term (in Years) 5 years 11 months 1 day