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Stock-Based Compensation (Tables)
 12 Months Ended
Dec. 31, 2021
Share-based Compensation Arrangement by Share-based Payment Award  
Schedule of Compensation Cost for Share-based Payment Arrangements
Compensation expense for the stock plans, as reported in our consolidated statements of income, is as follows:

Year Ended December 31
202120202019
(in millions of dollars)
Performance Share Units$3.3 $5.6 $5.0 
Cash Incentive Units3.2 — — 
Restricted Stock Units and Cash-Settled Restricted Stock Units25.5 23.9 21.0 
Stock Success Units2.8 0.4 — 
Other0.6 0.5 0.6 
Total Compensation Expense, Before Income Tax$35.4 $30.4 $26.6 
Total Compensation Expense, Net of Income Tax$31.1 $26.1 $22.7 
Stock Success Units (SSUs)  
Share-based Compensation Arrangement by Share-based Payment Award  
Schedule of SSU Activity
Stock Success Units (SSUs)

Activity for SSUs classified as equity is as follows:
Weighted Average
SharesGrant Date
(000s)Fair Value
Outstanding at December 31, 2020321 $18.78 
Vested(102)18.78 
Forfeited(11)18.78 
Outstanding at December 31, 2021208 18.78 
Performance Share Units  
Share-based Compensation Arrangement by Share-based Payment Award  
Activity for PSUs Classified as Equity
Activity for PSUs classified as equity is as follows:
Weighted Average
SharesGrant Date
(000s)Fair Value
Outstanding at December 31, 2020517 $30.31 
Granted1
(30)51.26 
Vested(169)38.81 
Forfeited(10)31.12 
Outstanding at December 31, 2021308 23.58 
1Reflects adjustments made as a result of the application of the performance factor, which was less than 100 percent for the 2018 PSU grant.
Valuation Assumptions on PSU Grants
The fair value of PSUs is estimated on the date of initial grant using the Monte-Carlo simulation model. Key assumptions used to value PSUs granted during the years shown are as follows:

Year Ended December 31
20202019
Expected Volatility (based on our and our peer group historical daily stock prices)23 %23 %
Expected Life (equals the performance period)3 years3 years
Risk Free Interest Rate (based on U.S. Treasury yields at the date of grant)0.85 %2.53 %
Cash Incentive Units (CIUs)  
Share-based Compensation Arrangement by Share-based Payment Award  
Activity for CIUs
Activity for CIUs classified as a liability is as follows:
Weighted Average
UnitsGrant Date
(000s)Fair Value
Outstanding at December 31, 2020— $— 
Granted7,223 1.02 
Outstanding at December 31, 20217,223 1.02 
Schedule of Cash-based Payment Award, Cash-incentive Units, Valuation Assumptions
The fair value of CIUs is estimated at each reporting period using the Monte-Carlo simulation model. Key assumptions used to value CIUs granted during current year are as follows:

Year Ended December 31, 2021
Expected Volatility (based on our and our peer group historical daily stock prices)50 %
Expected Life (equals the performance period)3 years
Risk Free Interest Rate (based on U.S. Treasury yields at the date of grant)0.71 %
Restricted Stock Units (RSUs)  
Share-based Compensation Arrangement by Share-based Payment Award  
Activity for Restricted Stock Units
Activity for RSUs classified as equity is as follows:
Weighted Average
SharesGrant Date
(000s)Fair Value
Outstanding at December 31, 20201,593 $27.57 
Granted1,373 27.02 
Vested(820)29.09 
Forfeited(130)26.84 
Outstanding at December 31, 20212,016 26.63 
Cash Settled RSUs  
Share-based Compensation Arrangement by Share-based Payment Award  
Share-based Payment Arrangement, Cash-Settled Restricted Stock Units, Activity
Activity for cash-settled RSUs classified as a liability is as follows:
Weighted Average
SharesGrant Date
(000s)Fair Value
Outstanding at December 31, 202068 $22.94 
Vested(22)25.44 
Outstanding at December 31, 202146 25.44 
Stock Options  
Share-based Compensation Arrangement by Share-based Payment Award  
Schedule of Stock Option Activity
Stock option activity is summarized as follows:

RemainingIntrinsic
SharesWeighted AverageContractual TermValue
(000s)Exercise Price(in years)(in millions)
Outstanding at December 31, 202040 $24.25 
Exercised(40)24.25 
Outstanding at December 31, 2021— —$—