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Equity And Earnings Per Share (IBG LLC Ownership of Member Interests) (Details)
Mar. 31, 2018
shares
Ownership Percentage 100.00%
Membership Interests 411,710,580
IBG Inc [Member]  
Ownership Percentage 17.40%
Membership Interests 71,481,136
Holdings [Member]  
Ownership Percentage 82.60%
Membership Interests 340,229,444