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Units Outstanding
 9 Months Ended
Sep. 30, 2020
Equity [Abstract]  
Units Outstanding Units Outstanding
Changes in AB Holding Units outstanding during the nine-month period ended September 30, 2020 are as follows:
Outstanding as of December 31, 201998,192,098 
Options exercised5,182 
Units issued422,703 
Units retired(2,445,415)
Outstanding as of September 30, 202096,174,568