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Units Outstanding (Tables)
12 Months Ended
Dec. 31, 2021
Equity [Abstract]  
Changes in AB Holding Units Outstanding
Changes in AB Holding Units outstanding for the years ended December 31, 2021 and 2020 are as follows:
 20212020
Outstanding as of January 1,98,322,942 98,192,098 
Options exercised143,211 5,182 
Units issued3,917,437 3,363,132 
Units retired(3,111,863)(3,237,470)
Outstanding as of December 31,99,271,727 98,322,942