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Fair Value - Partnership's Financial Assets at Fair Value (Detail) - USD ($)
$ in Millions
Sep. 30, 2022
Dec. 31, 2021
Cash equivalents:    
Total cash equivalents $ 287 $ 313
Investments segregated under federal regulations:    
Total investments segregated under federal regulations 12,653 14,308
Investment securities:    
Total investment securities 1,103 852
Inventory securities:    
Total inventory securities 91 38
Other Assets [Abstract]    
Client Fractional Shares Ownership Assets 593 710
Accounts Payable and Accrued Liabilities [Abstract]    
Client Fractional Shares Redemption Obligations 593 710
Equities [Member]    
Investment securities:    
Total investment securities 7 3
Inventory securities:    
Total inventory securities 24 18
Corporate Bonds and Notes [Member]    
Inventory securities:    
Total inventory securities 20 3
Government and Agency Obligations [Member]    
Investment securities:    
Total investment securities 807 413
U.S. Treasuries [Member]    
Investments segregated under federal regulations:    
Total investments segregated under federal regulations 12,253 13,908
Mutual Funds [Member]    
Investment securities:    
Total investment securities 289 366
Inventory securities:    
Total inventory securities 8 2
Municipal Obligations [Member]    
Inventory securities:    
Total inventory securities 22 9
Certificates of Deposit [Member]    
Cash equivalents:    
Total cash equivalents 246 266
Investments segregated under federal regulations:    
Total investments segregated under federal regulations 400 400
Investment securities:    
Total investment securities   70
Inventory securities:    
Total inventory securities 17 6
Money Market Fund [Member]    
Cash equivalents:    
Total cash equivalents 41 47
Level I [Member]    
Cash equivalents:    
Total cash equivalents 41 47
Investments segregated under federal regulations:    
Total investments segregated under federal regulations 12,253 13,908
Investment securities:    
Total investment securities 1,103 782
Inventory securities:    
Total inventory securities 32 20
Other Assets [Abstract]    
Client Fractional Shares Ownership Assets 593 710
Accounts Payable and Accrued Liabilities [Abstract]    
Client Fractional Shares Redemption Obligations 593 710
Level I [Member] | Equities [Member]    
Investment securities:    
Total investment securities 7 3
Inventory securities:    
Total inventory securities 24 18
Level I [Member] | Corporate Bonds and Notes [Member]    
Inventory securities:    
Total inventory securities 0 0
Level I [Member] | Government and Agency Obligations [Member]    
Investment securities:    
Total investment securities 807 413
Level I [Member] | U.S. Treasuries [Member]    
Investments segregated under federal regulations:    
Total investments segregated under federal regulations 12,253 13,908
Level I [Member] | Mutual Funds [Member]    
Investment securities:    
Total investment securities 289 366
Inventory securities:    
Total inventory securities 8 2
Level I [Member] | Municipal Obligations [Member]    
Inventory securities:    
Total inventory securities 0 0
Level I [Member] | Certificates of Deposit [Member]    
Cash equivalents:    
Total cash equivalents 0 0
Investments segregated under federal regulations:    
Total investments segregated under federal regulations 0 0
Investment securities:    
Total investment securities   0
Inventory securities:    
Total inventory securities 0 0
Level I [Member] | Money Market Fund [Member]    
Cash equivalents:    
Total cash equivalents 41 47
Level II [Member]    
Cash equivalents:    
Total cash equivalents 246 266
Investments segregated under federal regulations:    
Total investments segregated under federal regulations 400 400
Investment securities:    
Total investment securities 0 70
Inventory securities:    
Total inventory securities 59 18
Other Assets [Abstract]    
Client Fractional Shares Ownership Assets 0 0
Accounts Payable and Accrued Liabilities [Abstract]    
Client Fractional Shares Redemption Obligations 0 0
Level II [Member] | Equities [Member]    
Investment securities:    
Total investment securities 0 0
Inventory securities:    
Total inventory securities 0 0
Level II [Member] | Corporate Bonds and Notes [Member]    
Inventory securities:    
Total inventory securities 20 3
Level II [Member] | Government and Agency Obligations [Member]    
Investment securities:    
Total investment securities 0 0
Level II [Member] | U.S. Treasuries [Member]    
Investments segregated under federal regulations:    
Total investments segregated under federal regulations 0 0
Level II [Member] | Mutual Funds [Member]    
Investment securities:    
Total investment securities 0 0
Inventory securities:    
Total inventory securities 0 0
Level II [Member] | Municipal Obligations [Member]    
Inventory securities:    
Total inventory securities 22 9
Level II [Member] | Certificates of Deposit [Member]    
Cash equivalents:    
Total cash equivalents 246 266
Investments segregated under federal regulations:    
Total investments segregated under federal regulations 400 400
Investment securities:    
Total investment securities   70
Inventory securities:    
Total inventory securities 17 6
Level II [Member] | Money Market Fund [Member]    
Cash equivalents:    
Total cash equivalents $ 0 $ 0