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Equity And Earnings Per Share (IBG LLC Ownership of Member Interests) (Details)
Mar. 31, 2021
shares
Ownership Percentage 100.00%
Membership Interests 416,790,478
IBG Inc [Member]  
Ownership Percentage 21.80%
Membership Interests 90,830,444
Holdings [Member]  
Ownership Percentage 78.20%
Membership Interests 325,960,034