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Employee Benefit Plans (Details)
$ / shares in Units, $ in Millions
3 Months Ended 6 Months Ended
Mar. 31, 2022
USD ($)
grant_recipient
$ / shares
shares
Dec. 31, 2021
$ / shares
shares
Mar. 31, 2021
USD ($)
Mar. 31, 2022
USD ($)
Mar. 31, 2021
USD ($)
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Share-based Payment Arrangement, Noncash Expense       $ 54.6 $ 47.1
Performance Shares [Member] | October Two Thousand Twenty One Grant          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
RSUs granted in the period | shares 430,000 390,000      
Award vesting period 3 years        
Fair value of equity awards on the date of grant (in US$ per unit) | $ / shares   $ 80.58      
Share-based Payment Arrangement, Noncash Expense $ 4.1     8.3  
Performance Shares [Member] | October Two Thousand Twenty One Grant | Minimum [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Percentage of total units granted that vest in the period 0.00%        
Performance Shares [Member] | October Two Thousand Twenty One Grant | Maximum [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Percentage of total units granted that vest in the period 200.00%        
Restricted Stock [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Share-based Payment Arrangement, Noncash Expense $ 28.9   $ 24.0 50.9 $ 45.2
Restricted Stock [Member] | March Two Thousand Twenty Two Grant          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
RSUs granted in the period | shares 1,200,000        
Fair value of equity awards on the date of grant (in US$ per unit) | $ / shares $ 74.96        
Share-based Payment Arrangement, Noncash Expense $ 8.5     $ 8.5  
RSU Grant Recipients | grant_recipient 1,200