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Equity And Earnings Per Share (IBG LLC Ownership of Member Interests) (Details)
Jun. 30, 2018
shares
Ownership Percentage 100.00%
Membership Interests 413,774,390
IBG Inc [Member]  
Ownership Percentage 17.80%
Membership Interests 73,544,946
Holdings [Member]  
Ownership Percentage 82.20%
Membership Interests 340,229,444