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Units Outstanding
 12 Months Ended
Dec. 31, 2020
Equity [Abstract]  
Units Outstanding Units Outstanding
Changes in AB Holding Units outstanding for the years ended December 31, 2020 and 2019 are as follows:
 20202019
Outstanding as of January 1,98,192,098 96,658,278 
Options exercised5,182 511,894 
Units issued3,363,132 4,833,715 
Units retired(3,237,470)(3,811,789)
Outstanding as of December 31,98,322,942 98,192,098