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Stock-Based Compensation (Tables)
 12 Months Ended
Dec. 31, 2023
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Schedule of stock -based compensation expense in operations
Stock-based compensation expense related to continuing operations was included in Selling, general and administrative expenses in the accompanying Consolidated Statements of Operations as follows (in millions):
 For the Years Ended December 31,
202320222021
Compensation expense
$30.1 $21.8 $24.3 
Summary of status of undistributed performance share units
A summary of the status of our undistributed performance share units as of December 31, 2023, and changes during the year then ended, is presented below (in thousands, except per share data):
Shares Weighted- Average Grant Date Fair Value per Share
Undistributed performance share units as of December 31, 2022124.7 $257.55 
Granted— $— 
Adjustment to shares paid based on payout ratio17.8 $265.96 
Distributed(30.7)$245.06 
Forfeited(5.4)$270.84 
Undistributed performance share units as of December 31, 2023 (1)
106.4 $261.91 

(1) Undistributed performance share units include approximately 68.8 thousand units with a weighted-average grant date fair value of $259.70 per share that had not yet vested and 37.6 thousand units that have vested but were not yet distributed.
Fair value of performance share units and tax deductions
The total fair value of performance share units distributed and the resulting tax deductions to realized tax benefits were as follows (in millions):
For the Years Ended December 31,
202320222021
Fair value of performance share units distributed$13.5 $6.1 $10.8 
Realized tax benefits from tax deductions$3.3 $1.5 $2.7 
Summary of non vested restricted stock units
A summary of our non-vested restricted stock units as of December 31, 2023 and changes during the year then ended is presented below (in thousands, except per share data):
SharesWeighted- Average Grant Date Fair Value per Share
Non-vested restricted stock units as of December 31, 2022131.0 $270.86 
Granted— $— 
Vested(39.9)$275.58 
Forfeited(8.8)$272.57 
Non-vested restricted stock units as of December 31, 2023 (1)
82.3 $268.39 
Fair value of restricted stock units and tax deductions
The total fair value of restricted stock units vested and the resulting tax deductions to realized tax benefits were as follows (in millions):
For the Years Ended December 31,
202320222021
Fair value of restricted stock units vested$15.0 $9.7 $11.0 
Realized tax benefits from tax deductions$3.7 $2.4 $2.7 
Summary of stock appreciation rights activity
A summary of our stock appreciation rights as of December 31, 2023, and changes during the year then ended, is presented below (in thousands, except per share data):
Shares Weighted-Average Exercise Price per Share
Outstanding stock appreciation rights as of December 31, 2022487.9 $247.77 
Granted— $— 
Exercised(176.5)$212.53 
Forfeited(18.9)$285.73 
Outstanding stock appreciation rights as of December 31, 2023292.5 $266.57 
Exercisable stock appreciation rights as of December 31, 2023214.4 $263.11 
Summary of stock appreciation rights outstanding
The following table summarizes information about stock appreciation rights outstanding as of December 31, 2023 (in millions, except per share data and years; shares in thousands):
Stock Appreciation Rights OutstandingStock Appreciation Rights Exercisable
Range of Exercise PricesSharesWeighted-Average Remaining Contractual Term (in years)Aggregate Intrinsic Value
Shares (1)
Weighted-Average Remaining Contractual Life (in years)Aggregate Intrinsic Value
$156.94 to $214.63
53.9 1.60$12.7 53.9 1.60$12.7 
$257.08 to $278.00
93.4 3.52$16.8 93.4 3.52$16.8 
$259.56 to $328.65
145.2 5.61$23.4 67.1 5.44$10.0 
Schedule of total intrinsic value of stock appreciation rights exercised The total intrinsic value of stock appreciation rights exercised and the resulting tax deductions to realize tax benefits were as follows (in millions):
For the Years Ended December 31,
202320222021
Intrinsic value of stock appreciation rights exercised$19.8 $3.5 $31.2 
Realized tax benefits from tax deductions$4.8 $0.9 $7.7 
Performance Shares [Member]  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Summary of share-based payment awards
The following table provides information on our performance share units:
For the Years Ended December 31,
202320222021
Compensation expense for performance share units (in millions)$15.2 $6.9 $10.8 
Weighted-average fair value of grants, per share$— $237.68 $314.27 
Payout ratio for shares paid131 %126 %100 %
Restricted Stock Units [Member]  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Summary of share-based payment awards
The following table provides information on our restricted stock units (in millions, except per share data):
For the Years Ended December 31,
202320222021
Compensation expense for restricted stock units$10.8 $11.0 $8.7 
Weighted-average fair value of grants, per share$— $240.87 $315.70 
Stock Appreciation Rights (SARs) [Member]  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Summary of share-based payment awards
The following table provides information on our stock appreciation rights (in millions, except per share data):
For the Years Ended December 31,
202320222021
Compensation expense for stock appreciation rights$4.1 $3.9 $4.8 
Weighted-average fair value of grants, per share$— $64.54 $70.50 
Schedule of assumptions used
The fair value of the stock appreciation rights granted in 2022 and 2021 were estimated on the date of grant using the following assumptions. In 2023 there were no stock appreciation rights granted:
20222021
Expected dividend yield2.01 %1.69 %
Risk-free interest rate3.88 %0.88 %
Expected volatility29.90 %29.80 %
Expected life (in years)4.184.35