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Equity And Earnings Per Share (IBG LLC Ownership of Member Interests) (Details)
Sep. 30, 2023
shares
Ownership Percentage 100.00%
Membership Interests 420,972,398
IBG Inc [Member]  
Ownership Percentage 25.40%
Membership Interests 106,996,044
Holdings [Member]  
Ownership Percentage 74.60%
Membership Interests 313,976,354