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Reconciliation of Cash, Segregated Cash, Cash Equivalents, and Segregated Cash Equivalents (Details) - USD ($)
$ in Millions
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Cash and cash equivalents $ 471.3 $ 342.3    
Cash, segregated cash, cash equivalents, and segregated cash equivalents shown in the consolidated statements of cash flows 2,451.3 2,287.6 $ 2,659.8 $ 1,637.6
Cash and Cash Equivalents [Member]        
Cash and cash equivalents 471.3 342.3 314.9  
Cash segregated under federal and other regulations [Member]        
Cash segregated under federal and other regulations (1) 743.9 765.5 463.4  
Deposits with and receivables from broker dealers, clearing organizations, and counterparties [Member]        
Cash segregated and deposited with or pledged to exchange-clearing organizations and other futures commission merchants (“FCMs”)(2) 947.4 711.9 1,870.9  
Securities segregated and pledged to exchange-clearing organizations(2) $ 288.7 $ 467.9 $ 10.6