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Units Outstanding (Tables)
 9 Months Ended
Sep. 30, 2022
Equity [Abstract]  
Changes in Holding Units Outstanding
Changes in AB Holding Units outstanding during the nine-month period ended September 30, 2022 are as follows:

Outstanding as of December 31, 202199,271,727 
Options exercised5,774 
Units issued3,926,169 
Units retired(2,802,626)
Outstanding as of September 30, 2022100,401,044