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Stock-Based Compensation (Tables)
12 Months Ended
Dec. 31, 2022
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]  
Stock-Based Compensation Expense
Total stock-based compensation expense recognized for the years ended December 31, 2022, 2021 and 2020 is as follows:
 Year Ended December 31,
(in thousands, except per share amounts)202220212020
Cost of sales:
Maintenance and service10,073 12,390 13,626 
Operating expenses:
Selling, general and administrative93,117 91,772 73,491 
Research and development64,938 62,176 58,498 
Stock-based compensation expense before taxes168,128 166,338 145,615 
Related income tax benefits(50,209)(75,241)(56,485)
Stock-based compensation expense, net of taxes$117,919 $91,097 $89,130 
Net impact on earnings per share:
Basic earnings per share$(1.35)$(1.05)$(1.04)
Diluted earnings per share$(1.35)$(1.03)$(1.02)
Summary of Stock Options
Information regarding stock option transactions is summarized below:
 Year Ended December 31,
 202220212020
(options in thousands)OptionsWeighted-
Average
Exercise
Price
OptionsWeighted-
Average
Exercise
Price
OptionsWeighted-
Average
Exercise
Price
Outstanding, beginning of year375 $83.67 648 $74.26 984 $67.49 
Granted $ — $— — $— 
Exercised(148)$67.56 (270)$61.42 (336)$54.43 
Forfeited(1)$67.44 (3)$55.46 — $— 
Outstanding, end of year226 $94.24 375 $83.67 648 $74.26 
Vested and Exercisable, end of year226 $94.24 375 $83.67 648 $74.26 
Nonvested $ — $— — $— 
 
202220212020
Weighted Average Remaining Contractual Term (in years)
Outstanding3.533.092.93
Vested and Exercisable3.533.092.93
Nonvested0.000.000.00
Aggregate Intrinsic Value (in thousands)
Exercised$30,358 $82,790 $78,269 
Outstanding$33,361 $118,995 $187,679 
Vested and Exercisable$33,361 $118,995 $187,679 
Nonvested $ $— $— 
Compensation Expense - Stock Options (in thousands)
$ $— $1,030 
Summary of Types of Awards and Vesting Conditions The following table summarizes the types of awards and vesting conditions:
AwardVesting PeriodVesting Condition
Restricted stock units with a service condition onlyThree yearsContinued employment through the vesting period. One third vests annually.
Restricted stock units with an operating performance and service conditionThree yearsOperating performance metrics as defined at the beginning of each sub-performance period and subject to continued employment through the vesting period.
Restricted stock units with a market and service condition
Three years
Our performance measured by total stockholder return relative to the Nasdaq Composite Index for the performance period and subject to continued employment through the vesting period.
Summary of Restricted Stock Units
Information regarding all employee RSU transactions is summarized below:
 Year Ended December 31,
 202220212020
(RSUs in thousands)RSUsWeighted-
Average
Grant Date Fair Value
RSUsWeighted-
Average
Grant Date Fair Value
RSUsWeighted-
Average
Grant Date Fair Value
Nonvested, beginning of year1,068 $277.71 1,323 $201.98 1,618 $165.26 
Granted(1)
851 $299.58 501 $333.50 501 $256.47 
Performance adjustment - awards with market condition(2)
(8)$276.73 17 $238.99 18 $191.76 
Performance adjustment - awards with performance condition(2)
73 $300.28 63 $376.48 (10)$279.08 
Vested(592)$256.72 (793)$194.50 (742)$158.13 
Forfeited(182)$295.13 (43)$263.13 (62)$193.28 
Nonvested, end of year1,210 $302.09 1,068 $277.71 1,323 $201.98 
(1) Includes all RSUs granted during the year. RSUs with operating performance conditions are issued annually and have one performance cycle or three sub-performance cycles. Performance conditions are assigned near the beginning of each performance cycle or sub-performance cycle, as applicable, and awards are reflected as grants at the target number of units at that time.
(2) RSUs with a market or performance condition are granted at target and vest based on achievement of the market or operating performance and service conditions. The actual number of RSUs issued may be more or less than the target RSUs depending on the achievement of the market or operating performance conditions.
Employee Stock Option  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]  
Information Regarding Stock Options Outstanding
Information regarding stock options outstanding as of December 31, 2022 is summarized below:
(options in thousands)Options Outstanding & Exercisable
Range of Exercise PricesOptionsWeighted-
Average
Remaining
Contractual
Life (years)
Weighted-
Average
Exercise
Price
$12.26 - $86.011.02$80.88 
$86.572.67$86.57 
$94.152.58$94.15 
$95.09208 3.67$95.09 
Restricted Stock Units (RSUs)  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]  
Assumptions to Estimate Fair Value of Stock Awards The determination of the fair values of the awards was affected by the grant date and several variables, each of which has been identified in the chart below:
Year Ended December 31,
Assumptions used in Monte Carlo lattice pricing model202220212020
Risk-free interest rate1.8%0.3%0.7%
Expected dividend yield—%—%—%
Expected volatility—Ansys stock price37%36%25%
Expected volatility—Nasdaq Composite Index26%26%18%
Expected term2.8 years2.8 years2.8 years
Correlation factor0.840.840.77
Weighted average fair value per share$290.65$238.87$245.08
Diversified Deferred Stock Award  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]  
Summary of Stock Awards To Non-Employee Directors
Information regarding deferred stock awards to non-employee Directors is summarized below:
Year Ended December 31, 2022
DiversifiedUndiversifiedTotal
Deferred Awards Outstanding, beginning of year6,998 56,824 63,822 
Shares Diversified   
Deferred Awards Outstanding, end of year6,998 56,824 63,822 
Year Ended December 31, 2021
DiversifiedUndiversifiedTotal
Deferred Awards Outstanding, beginning of year6,998 58,681 65,679 
Shares Diversified— — — 
Shares Issued Upon Retirement— (1,857)(1,857)
Deferred Awards Outstanding, end of year6,998 56,824 63,822 
Year Ended December 31, 2020
DiversifiedUndiversifiedTotal
Deferred Awards Outstanding, beginning of year5,598 60,081 65,679 
Shares Diversified1,400 (1,400)— 
Deferred Awards Outstanding, end of year6,998 58,681 65,679 
Director Restricted Stock Units  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]  
Summary of Stock Awards To Non-Employee Directors
Information regarding RSU awards to non-employee Directors is summarized below:

 Year Ended December 31,
 202220212020
BOD RSUsWeighted-
Average
Grant Date Fair Value
BOD RSUsWeighted-
Average
Grant Date Fair Value
BOD RSUsWeighted-
Average
Grant Date Fair Value
Nonvested, beginning of year6,428 $330.08 8,071 $253.93 9,688 $187.53 
Granted9,515 $254.23 6,576 $329.78 9,664 $253.40 
Vested(6,428)$330.08 (8,219)$255.06 (10,704)$193.35 
Forfeited $ — $— (577)$253.93 
Nonvested, end of year9,515 $254.23 6,428 $330.08 8,071 $253.93