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Equity And Earnings Per Share (IBG LLC Ownership of Member Interests) (Details)
Sep. 30, 2024
shares
Ownership Percentage 100.00%
Membership Interests 422,523,133
IBG Inc [Member]  
Ownership Percentage 25.80%
Membership Interests 108,879,779
Holdings [Member]  
Ownership Percentage 74.20%
Membership Interests 313,643,354