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Equity And Earnings Per Share (IBG LLC Ownership of Member Interests) (Details)
Dec. 31, 2022
shares
Ownership Percentage 100.00%
Membership Interests 419,536,805
IBG Inc [Member]  
Ownership Percentage 24.50%
Membership Interests 102,927,703
Holdings [Member]  
Ownership Percentage 75.50%
Membership Interests 316,609,102