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Business Description and Organization - Additional Information (Details)
12 Months Ended
Dec. 31, 2019
shares
Ownership structure of AB expressed as percentage of general and limited partnership interests  
Percentage of General Partnership interest in company 1.00%
General Partnership number of general partnership units owned in Holding Company (in units) 100,000
AXA and its subsidiaries economic interest in Company 64.80%
AXA | EQH  
Ownership structure of AB expressed as percentage of general and limited partnership interests  
Percentage of General Partnership interest in company 10.00%
EQH | AB Holding  
Ownership structure of AB expressed as percentage of general and limited partnership interests  
Percentage of General Partnership interest in company 4.10%