Acquisitions (Tables)

12 Months Ended

Dec. 31, 2021

Business Combinations [Abstract]

Fair Value of Consideration Transferred

Fair Value of Consideration Transferred:

(in thousands)	Zemax		Other Acquisitions		Total
Cash	$	411,471	$	110,739	$	522,210

Fair Value of Consideration Transferred:

(in thousands)	AGI		Lumerical		Total
Cash	$	495,066	$	107,545	$	602,611
Ansys common stock(1)	222,236		—		222,236
Consideration not yet paid	2,787		—		2,787
Total consideration transferred at fair value	$	720,089	$	107,545	$	827,634

(1)We issued 0.6 million shares of our common stock in an unregistered offering to the prior owners of AGI with a fair value of $217.7 million, and we issued $4.5 million from shares held in treasury.

Schedule of Recognized Identified Assets Acquired and Liabilities Assumed

Recognized Amounts of Identifiable Assets Acquired and Liabilities Assumed:

(in thousands)	Zemax		Other Acquisitions		Total
Cash	$	12,353	$	4,320	$	16,673
Accounts receivable and other tangible assets	7,069		2,978		$	10,047
Developed software and core technologies (11 year weighted-average life)	96,000		32,200		$	128,200
Customer lists (8 year weighted-average life)	10,000		2,300		$	12,300
Trade names (10 year weighted-average life)	7,000		1,000		$	8,000
Accounts payable and other liabilities	(4,757)		(2,852)		$	(7,609)
Deferred revenue	(3,085)		(746)		$	(3,831)
Net deferred tax liabilities	(24,609)		(7,509)		$	(32,118)
Total identifiable net assets	$	99,971	$	31,691	$	131,662
Goodwill	$	311,500	$	79,048	$	390,548

Recognized Amounts of Identifiable Assets Acquired and Liabilities Assumed:

(in thousands)	AGI		Lumerical		Total
Cash	$	17,663	$	11,844	$	29,507
Accounts receivable and other tangible assets	28,677		4,244		32,921
Developed software and core technologies	184,100		31,614		215,714
Customer lists	25,400		1,616		27,016
Trade names	18,200		1,756		19,956
Accounts payable and other liabilities	(23,576)		(1,148)		(24,724)
Deferred revenue	(5,467)		(1,405)		(6,872)
Net deferred tax liabilities	(52,473)		(7,452)		(59,925)
Total identifiable net assets	$	192,524	$	41,069	$	233,593
Goodwill	$	527,565	$	66,476	$	594,041

Schedule of Finite-Lived Intangible Assets Acquired as Part of Business Combination

The weighted-average useful life, valuation method and assumptions used to determine the fair value of the intangible assets acquired with the Zemax acquisition are as follows:

Intangible Asset	Weighted-Average Useful Life	Valuation Method	Assumptions
Developed software and core technologies	11 years	Multi-period excess earnings	Discount rate: 7.5%
Trade names	10 years	Relief-from-royalty	Royalty rate: 2.0% Discount rate: 8.0%
Customer lists	8 years	Multi-period excess earnings	Attrition rate: 10.0% Discount rate: 7.5%

The weighted-average useful life, valuation method and assumptions used to determine the fair value of the intangible assets acquired with the AGI acquisition are as follows:

Intangible Asset	Weighted-Average Useful Life	Valuation Method	Assumptions
Developed software and core technologies	10 years	Relief-from-royalty	Royalty rate: 40.0% Discount rate: 11.0%
Trade names	9 years	Relief-from-royalty	Royalty rate: 1.0% - 2.0% Discount rate: 11.0%
Customer lists	15 years	Multi-period excess earnings	Attrition rate: 10.0% Discount rate: 12.0%

The weighted-average useful life, valuation method and assumptions used to determine the fair value of the intangible assets acquired with the Lumerical acquisition are as follows:

Intangible Asset	Weighted-Average Useful Life	Valuation Method	Assumptions
Developed software and core technologies	10 years	Multi-period excess earnings	Discount rate: 16.5%
Trade names	6 years	Relief-from-royalty	Royalty rate: 2.0% Discount rate: 16.5%
Customer lists	10 years	Multi-period excess earnings	Attrition rate: 10.0% Discount rate: 12.5%