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Equity And Earnings Per Share (IBG LLC Ownership of Member Interests) (Details)
Jun. 30, 2021
shares
Ownership Percentage 100.00%
Membership Interests 418,051,407
IBG Inc [Member]  
Ownership Percentage 22.00%
Membership Interests 92,091,373
Holdings [Member]  
Ownership Percentage 78.00%
Membership Interests 325,960,034