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Equity And Earnings Per Share (IBG LLC Ownership of Member Interests) (Details)
Sep. 30, 2025
shares
Ownership Percentage 100.00%
Membership Interests 1,696,143,000
IBG Inc [Member]  
Ownership Percentage 26.30%
Membership Interests 445,405,584
Holdings [Member]  
Ownership Percentage 73.70%
Membership Interests 1,250,737,416