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Equity And Earnings Per Share (IBG LLC Ownership of Member Interests) (Details)
Dec. 31, 2019
shares
Ownership Percentage 100.00%
Membership Interests 415,430,237
IBG Inc [Member]  
Ownership Percentage 18.50%
Membership Interests 76,759,595
Holdings [Member]  
Ownership Percentage 81.50%
Membership Interests 338,670,642