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Equity And Earnings Per Share (IBG LLC Ownership of Member Interests) (Details)
Dec. 31, 2017
shares
Ownership Percentage 100.00%
Membership Interests 411,709,048
IBG Inc [Member]  
Ownership Percentage 17.40%
Membership Interests 71,479,604
Holdings [Member]  
Ownership Percentage 82.60%
Membership Interests 340,229,444