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Equity And Earnings Per Share (IBG LLC Ownership of Member Interests) (Details)
Jun. 30, 2023
shares
Ownership Percentage 100.00%
Membership Interests 420,972,398
IBG Inc [Member]  
Ownership Percentage 24.80%
Membership Interests 104,363,296
Holdings [Member]  
Ownership Percentage 75.20%
Membership Interests 316,609,102