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Equity And Earnings Per Share (IBG LLC Ownership of Member Interests) (Details)
Dec. 31, 2021
shares
Ownership Percentage 100.00%
Membership Interests 418,110,619
IBG Inc [Member]  
Ownership Percentage 23.50%
Membership Interests 98,230,127
Holdings [Member]  
Ownership Percentage 76.50%
Membership Interests 319,880,492