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Net Capital (Details)
$ in Millions
Dec. 31, 2022
USD ($)
Stanford C. Bernstein & Co.,LLC  
Schedule Of Regulatory Capital Agencies And Requirements [Line Items]  
Minimum net capital required per stock exchange and SEC rules $ 1.0
Alternative method of calculating aggregate debit items arising from customer transactions permitted by rule, percent 2.00%
Alternative excess net capital $ 284.9
Alternative net capital requirement 38.2
Stanford C. Bernstein & Co.,LLC | US SEC  
Schedule Of Regulatory Capital Agencies And Requirements [Line Items]  
Net capital 323.1
Stanford C. Bernstein Limited  
Schedule Of Regulatory Capital Agencies And Requirements [Line Items]  
Net capital 51.0
Minimum financial resources/net capital required 45.4
Actual net capital in excess of the minimum net capital required 5.6
AB Investments | US SEC  
Schedule Of Regulatory Capital Agencies And Requirements [Line Items]  
Net capital 53.5
Minimum financial resources/net capital required 0.3
Actual net capital in excess of the minimum net capital required $ 53.2