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Shareholders' Equity (Tables)
12 Months Ended
Jan. 02, 2021
Stockholders' Equity Note [Abstract]  
Schedule of share-based compensation activity
The table below presents SARs share-based compensation activity for the fiscal years ended 2020, 2019 and 2018 (in millions):
202020192018
Total Intrinsic Value of Share-Based Incentive Awards Exercised$6.7$11.7$5.2
Cash Received from Stock Option Exercises0.20.1
Total Fair Value of Share-Based Incentive Awards Vested2.15.43.9
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 SARs were as follows:
202020192018
Per Share Weighted Average Fair Value of Grants$21.23$20.84$22.73
Risk-Free Interest Rate1.5%2.4%2.9%
Expected Life (Years)7.07.07.0
Expected Volatility25.2%25.0%27.8%
Expected Dividend Yield1.4%1.5%1.4%
The assumptions used in the Company's Monte Carlo simulation related to grants for performance share units were as follows:
January 2, 2021December 28, 2019December 29, 2018
Risk-free interest rate1.4%2.3%2.7%
Expected life (years)3.03.03.0
Expected volatility24.0%25.0%25.0%
Expected dividend yield1.4%1.5%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 2020:
Number of Shares Under SARsSharesWeighted Average Exercise PriceWeighted Average Remaining Contractual Term (years)Aggregate Intrinsic Value (in millions)
Outstanding as of December 28, 2019817,790$73.34 
Granted181,17788.25 
Exercised(322,820)69.86 
Forfeited(95,330)77.26 
Expired(3,308)67.38 
Outstanding as of January 2, 2021577,509$79.35 7.0$25.1 
Exercisable as of January 2, 2021180,146$71.22 4.2$9.3 
RSA Award Activity
Following is the summary of RSAs activity for fiscal 2020:
SharesWeighted Average Fair Value at Grant DateWeighted Average Remaining Contractual Term (years)
Unvested RSAs as of December 28, 201915,571$80.41 0.4
Granted16,28070.05 
Vested(15,571)80.41 
Unvested RSAs as of January 2, 202116,280$70.05 0.3
RSU Award Activity
Following is the summary of RSUs activity for fiscal 2020:
SharesWeighted Average Fair Value at Grant DateWeighted Average Remaining Contractual Term (years)
Unvested RSUs as of December 28, 2019175,025$78.19 1.9
Granted69,33186.70 
Vested(50,565)80.20 
Forfeited(29,393)78.23 
Unvested RSUs as of January 2, 2021164,398$81.16 1.7
PSU Award Activity
Following is the summary of PSUs activity for fiscal 2020:
SharesWeighted Average Fair Value at Grant DateWeighted Average Remaining Contractual Term (years)
Unvested PSUs as of December 28, 201990,565$86.35 1.9
Granted36,556117.63 
Vested(7,545)95.33 
Forfeited(32,054)86.54 
Unvested PSUs as of January 2, 202187,522$97.59 1.8