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Share-Based Compensation
12 Months Ended
Dec. 31, 2022
Share-Based Payment Arrangement [Abstract]  
Share-Based Compensation Share-Based Compensation
Compensation cost included in income from continuing operations, primarily selling, general and administrative expense, and the income tax benefit recognized for our share-based compensation arrangements is included below:
 
 Years Ended December 31,
 202220212020
 (In thousands)
Total share-based compensation cost$23,454 $22,627 $17,405 
Income tax benefit5,582 5,385 4,142 
We currently have outstanding stock appreciation rights (SARs), restricted stock units with service vesting conditions, restricted stock units with performance vesting conditions, and restricted stock units with market conditions. We grant SARs with an exercise price equal to the closing market price of our common stock on the grant date. Generally, SARs may be converted into shares of our common stock in equal amounts on each of the first three anniversaries of the grant date and expire 10 years from the grant date. Certain awards provide for accelerated vesting in certain circumstances, including following a change in control of the Company. Restricted stock units with service conditions generally vest 3-5 years from the grant date. Restricted stock units issued based on the attainment of the performance conditions generally vest on the second or third anniversary of their grant date. Restricted stock units issued based on the attainment of market conditions generally vest on the third anniversary of their grant date.
We recognize compensation cost for all awards based on their fair values. The fair values for SARs are estimated on the grant date using the Black-Scholes-Merton option-pricing formula which incorporates the assumptions noted in the following table. Expected volatility is based on historical volatility, and expected term is based on historical exercise patterns of SAR holders. The fair value of restricted stock units with service vesting conditions or performance vesting conditions is the closing market price of our common stock on the date of grant. We estimate the fair value of certain restricted stock units with market conditions using a Monte Carlo simulation valuation model with the assistance of a third party valuation firm. Compensation costs for awards with service conditions are amortized to expense using the straight-line method. Compensation costs for awards with performance conditions and graded vesting are amortized to expense using the graded attribution method. 
During the year ended December 31, 2020, certain restricted stock units with performance vesting conditions were modified as a result of approved changes to the performance targets. There were no other changes to the terms of the restricted stock units. The modification was applicable to all employees who were previously granted the affected restricted stock units. Prior to the modification, the performance targets were not expected to be achieved. Therefore, we had not recognized any expense for these restricted stock units on a cumulative basis. As of the modification date, we expected to recognize total incremental compensation expense as a result of the modification of $4.4 million. The expense will be recognized over the applicable service periods, which extend to 2023.
 Years Ended December 31,
 202220212020
 (In thousands, except weighted average fair
value and assumptions)
Weighted-average fair value of SARs granted$21.85 $18.30 $18.29 
Total intrinsic value of SARs exercised4,384 1,581 545 
Tax benefit from SARs exercised678 327 26 
Weighted-average fair value of restricted stock units granted61.61 51.76 41.75 
Total fair value of restricted stock units vested16,830 12,623 6,600 
Expected volatility43.00 %45.34 %37.55 %
Expected term (in years)5.65.75.7
Risk-free rate1.89 %0.70 %1.44 %
Dividend yield0.37 %0.44 %0.39 %
 SARsRestricted Stock Units
 NumberWeighted-
Average
Exercise
Price
Weighted-
Average
Remaining
Contractual Term
Aggregate
Intrinsic Value
NumberWeighted-
Average
Grant-Date
Fair Value
  (In thousands, except exercise prices, fair values, and contractual terms)
Outstanding at January 1, 20221,244 $63.18 n/an/a964 $50.08 
Granted165 53.83 n/an/a395 61.61 
Exercised or converted(340)56.18 n/an/a(307)54.70 
Forfeited or expired(111)62.64 n/an/a(155)51.37 
Outstanding at December 31, 2022958 $64.13 4.8$10,017 897 $54.59 
Vested or expected to vest at December 31, 2022282 $50.19 8.5$6,132 
Exercisable or convertible at December 31, 2022676 $69.95 3.3$3,885 
At December 31, 2022, the total unrecognized compensation cost related to all nonvested awards was $34.9 million. That cost is expected to be recognized over a weighted-average period of 2.0 years. Historically, we have issued treasury shares, if available, to satisfy award conversions and exercises.