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Basis of Presentation and Consolidation and Accounting Standards Adopted (Details)
$ in Millions
3 Months Ended 9 Months Ended
Oct. 01, 2020
USD ($)
client
Jun. 30, 2022
USD ($)
client
country
Jun. 30, 2021
USD ($)
Jun. 30, 2022
USD ($)
client
country
Jun. 30, 2021
USD ($)
Sep. 30, 2021
USD ($)
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items]            
Number of countries in which entity operates | country   180   180    
Number of commercial and institutional clients | client   52,000   52,000    
Number retail clients | client   370,000   370,000    
Cumulative-effect adjustment, net of tax   $ 837.3   $ 837.3   $ 682.5
Income tax expense   $ 21.8 $ 11.8 $ 56.0 $ 40.2  
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          
Number of client deficit accounts impacted | client 300          
Retail Segment            
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items]            
Number of countries in which entity operates | country   180   180