Long-term Incentive Compensation Plans (Tables)

12 Months Ended

Dec. 31, 2021

Compensation Related Costs [Abstract]

Summary of Option Awards Activity

The option-related activity in our equity compensation plans during 2021 is as follows:

	Options to Buy AB Holding Units		Weighted Average Exercise  Price Per Option			Weighted Average Remaining Contractual Term (Years)		Aggregate Intrinsic Value (in thousands)
Outstanding as of December 31, 2020		148,985		$	23.61		1.2
Granted		—		—
Exercised		(143,211)		23.75
Forfeited		—		—
Expired		—		—
Outstanding as of December 31, 2021		5,774		$	20.12		0.33		$	165.8
Exercisable as of December 31, 2021		5,774		$	20.12		0.33		$	165.8
Vested or expected to vest as of December 31, 2021		5,774		$	20.12		0.33		$	165.8

Summary of Activity of Unvested Restricted Holding Units

Grant details related to these awards is as follows:

	2021			2020			2019
Restricted Units Awarded		35,358			50,232			45,420
Weighted Average Grant Date Fair Value		$	44.29		$	23.69		$	29.33
Compensation Expense (in millions)		$	1.6		$	1.2		$	1.3

Grant details related to these awards is as follows:

	2021			2020			2019
	(in millions excluding share prices)
Restricted Units Awarded		3.4			0.4			1.9
Grant Date Fair Value Range		$29.06 - $53.86			$18.80 - $35.42			$27.32 - $30.85
Compensation Expense		$	40.9		$	32.1		$	36.7

Changes in unvested restricted AB Holding Units during 2021 are as follows:

	AB Holding Units	Weighted Average Grant Date Fair Value per AB Holding Unit
Unvested as of December 31, 2020	18,864,574		$	28.58
Granted	6,984,456		39.68
Vested	(7,108,465)		27.99
Forfeited	(609,825)		28.99
Unvested as of December 31, 2021	18,130,740		$	33.98