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Business Description Organization and Basis of Presentation - Additional Information (Details)
9 Months Ended
Sep. 30, 2024
shares
General partnership information [Abstract]  
General Partnership number of general partnership units owned in Holding Company (in shares) 100,000
AXA and its subsidiaries economic interest in Company 61.60%
AB Holding | Equitable Holdings, Inc. And Subsidiaries  
General partnership information [Abstract]  
General partnership interest in company (percent) 4.00%
AB Holding | AB  
General partnership information [Abstract]  
General partnership interest in company (percent) 1.00%