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Equity And Earnings Per Share (IBG LLC Ownership of Member Interests) (Details)
Mar. 31, 2019
shares
Ownership Percentage 100.00%
Membership Interests 413,793,577
IBG Inc [Member]  
Ownership Percentage 18.10%
Membership Interests 75,101,860
Holdings [Member]  
Ownership Percentage 81.90%
Membership Interests 338,691,717