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Basis of Presentation and Consolidation and Accounting Standards Adopted (Details)
$ in Millions
3 Months Ended 6 Months Ended
Oct. 01, 2020
USD ($)
Mar. 31, 2021
USD ($)
country
client
Mar. 31, 2020
USD ($)
Mar. 31, 2021
USD ($)
country
client
Mar. 31, 2020
USD ($)
Sep. 30, 2020
USD ($)
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items]            
Number of commercial and institutional clients (more than) | client   35,000   35,000    
Number retail clients (more than) | client   340,000   340,000    
Number of countries in which entity operates (more than) | country   180   180    
Selling and marketing   $ 6.5 $ 4.2 $ 15.3 $ 5.6  
Cumulative-effect adjustment, net of tax   641.0   641.0   $ 572.4
Income tax expense   $ 21.0 $ 16.8 $ 28.4 $ 22.2  
Cumulative Effect, Period of Adoption, Adjustment            
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items]            
Cumulative-effect adjustment, net of tax $ (6.2)          
Income tax expense $ 2.0          
Retail Segment            
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items]            
Number of countries in which entity operates (more than) | country   130   130