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Shareholders' Equity (Tables)
12 Months Ended
Dec. 31, 2022
Stockholders' Equity Note [Abstract]  
Schedule of share-based compensation activity
The table below presents share-based compensation activity for the fiscal years ended 2022, 2021 and 2020:
202220212020
Total Intrinsic Value of Share-Based Incentive Awards Exercised$7.8$11.3$6.7
Cash Received from Stock Option Exercises3.52.60.2
Income Tax Benefit from the Exercise of Stock Options6.12.7
Total Fair Value of Share-Based Incentive Awards Vested8.24.52.1
Assumptions used in Valuation for Options, SAR's, and Performance Share Units
The weighted average assumptions used in the Company's Black-Scholes valuation related to grants for options and SARs were as follows:
202220212020
Per Share Weighted Average Fair Value of Grants$42.21$25.97$21.23
Risk-Free Interest Rate1.8%0.7%1.5%
Expected Life (Years)4.04.27.0
Expected Volatility35.3%34.1%25.2%
Expected Dividend Yield0.9%0.9%1.4%
The assumptions used in the Company's Monte Carlo simulation related to grants for performance share units were as follows:
December 31, 2022January 1, 2022January 2, 2021
Risk-free interest rate1.8%0.2%1.4%
Expected life (years)3.03.03.0
Expected volatility38.0%37.0%24.0%
Expected dividend yield—%0.9%1.4%
Share-based Incentive Plan Grant Activity (Options and SAR's)
Following is a summary of share-based incentive plan activity (options and SARs) for fiscal 2022:
Number of Shares Under Options and SARsSharesWeighted Average Exercise PriceWeighted Average Remaining Contractual Term (years)Aggregate Intrinsic Value (in millions)
Outstanding as of January 1, 2022811,906$81.50 
Granted
135,634150.23 
Exercised(108,609)64.98 
Forfeited(27,797)149.24 
Expired(2,994)76.86 
Outstanding as of December 31, 2022808,140$92.94 6.3$27.1 
Exercisable as of December 31, 2022475,123$74.93 5.1$22.0 
RSA Award Activity
Following is the summary of RSAs activity for fiscal 2022:
SharesWeighted Average Fair Value at Grant DateWeighted Average Remaining Contractual Term (years)
Unvested RSAs as of January 1, 20229,018$144.73 0.5
Granted10,287131.27 
Vested(9,018)144.73 
Unvested RSAs as of December 31, 202210,287$131.27 0.4
RSU Award Activity
Following is the summary of RSUs activity for fiscal 2022:
SharesWeighted Average Fair Value at Grant DateWeighted Average Remaining Contractual Term (years)
Unvested RSUs as of January 1, 2022220,898$119.59 1.8
Granted
94,791147.70 
Vested(128,166)114.90 
Forfeited(31,110)137.27 
Unvested RSUs as of December 31, 2022156,413$136.95 1.9
PSU Award Activity
Following is the summary of PSUs activity for fiscal 2022:
SharesWeighted Average Fair Value at Grant DateWeighted Average Remaining Contractual Term (years)
Unvested PSUs as of January 1, 202299,867$108.28 1.6
Granted41,078151.27 
Vested(28,653)78.09 
Forfeited(4,627)146.61 
Unvested PSUs as of December 31, 2022107,665$131.07 1.8