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Share-Based Compensation Plans (Tables)
12 Months Ended
Dec. 31, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Schedule of share-based compensation expense Share-based compensation expense was as follows (in millions):
Year Ended
December 31,
2020
December 31,
2019
December 31,
2018
$58.5 $52.2 $37.7 
Schedule of share-based compensation, stock options, activity A summary of activity related to stock options is presented below (options in thousands):
 Number of
Options
Weighted-Average
Exercise
Price Per Share
Weighted-
Average
Remaining
Term in
Years
Aggregate
Intrinsic
Value
Options outstanding at December 31, 20181,534 $91.56 
Granted— $— 
Exercised(27)$34.30 
Forfeited or expired(43)$99.58 
Options outstanding at December 31, 20191,464 $92.33 5.8$— 
Granted— $— 
Exercised— $— 
Forfeited or expired(120)$78.21 
Options outstanding December 31, 20201,344 $93.61 5.2$— 
Options exercisable1,138 $96.34 4.8$— 
Options expected to vest200 $78.51 7.1$— 
Schedule of aggregate intrinsic value The aggregate intrinsic value for options exercised was as follows (in millions):
Year Ended
December 31,
2020
December 31,
2019
December 31,
2018
$— $0.5 $1.1 
Schedule of weighted average grant date fair value The weighted-average fair value per share at the grant date for options granted was as follows:
Year Ended
December 31,
2020
December 31,
2019
December 31,
2018
$— $— $24.43 
Schedule of share-based payment award, stock options, valuation assumptions The fair value was estimated using the Black-Scholes option pricing model with the following weighted-average assumptions: 
 Year Ended
 December 31,
2018
Dividend yield0.8 %
Volatility, as a percent31.2 %
Risk-free interest rate2.8 %
Expected life in years5.6
Schedule of nonvested RSUs A summary of activity related to non-vested service-based restricted share units is presented below (units in thousands):
 Number of
Non-vested
Service-
Based
Share Units
Weighted-
Average
Grant Date
Fair Value Per Share
Weighted-
Average
Remaining
Term in
Years
Aggregate
Intrinsic
Value
Non-vested service-based share units outstanding at December 31, 2018728 $89.47 
Granted818 $47.48 
Vested(269)$95.09 
Forfeited(66)$71.03 
Non-vested service-based share units outstanding at December 31, 20191,211 $60.96 1.4$62.5 
Granted823 $54.68 
Vested(372)$69.64 
Forfeited(42)$59.82 
Non-vested service-based share units outstanding at December 31, 20201,620 $55.82 1.0$72.5 
Schedule of total fair value of RSUs The total fair value of service-based restricted share units that vested was as follows (in millions):
Year Ended
December 31,
2020
December 31,
2019
December 31,
2018
$25.9 $25.6 $24.6 
Schedule of nonvested PSUs A summary of activity related to non-vested performance-based restricted share units is presented below (units in thousands):
 Number of
Non-vested
Performance-
Based
Share Units
Weighted-
Average
Grant
Date Fair
Value Per Share
Weighted-
Average
Remaining
Term in
Years
Aggregate
Intrinsic
Value
Non-vested performance-based share units outstanding at December 31, 2018442 $86.61 
Granted298 $47.54 
Vested(68)$116.35 
Forfeited(19)$72.83 
Non-vested performance-based share units outstanding at December 31, 2019653 $61.44 1.5$33.7 
Granted291 $55.08 
Vested(184)$68.89 
Forfeited(9)$70.60 
Non-vested performance-based share units outstanding at December 31, 2020751 $57.13 1.4$33.6 
Schedule total fair value The total fair value of performance-based restricted share units that vested was as follows (in millions):
Year Ended
December 31,
2020
December 31,
2019
December 31,
2018
$12.7 $8.0 $2.4 
RTSR  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Schedule of weighted average grant date fair value The weighted-average fair value per share at the date of grant for RTSR performance share units granted was as follows:
Year Ended
December 31,
2020
December 31,
2019
December 31,
2018
$67.72 $55.61 $101.13 

The total fair value of RTSR performance share units that vested was as follows (in millions):

Year Ended
December 31,
2020
December 31,
2019
December 31,
2018
$1.5 $— $— 
Schedule of share-based payment award, stock options, valuation assumptions The assumptions used in estimating the fair value of the RTSR performance share units granted during each year were as follows:
 Year Ended
 December 31,
2020
December 31,
2019
December 31,
2018
Dividend yield1.6 %1.6 %0.9 %
Volatility, as a percent40.4 %40.2 %35.3 %
Risk-free interest rate0.6 %1.9 %2.4 %
Expected life in years2.82.42.8
Schedule of nonvested PSUs A summary of activity related to non-vested RTSR performance share units is presented below (units in thousands):
 Number of
Non-vested
RTSR Performance Share Units
Weighted-
Average
Grant
Date Fair
Value Per Share
Weighted-
Average
Remaining
Term in
Years*
Aggregate
Intrinsic
Value
Non-vested RTSR performance share units outstanding at December 31, 201862 $78.35 
Granted80 $55.61 
Vested— $— 
Forfeited— $— 
Non-vested RTSR performance share units outstanding at December 31, 2019142 $63.02 1.5$7.3 
Granted58 $67.72 
Vested(24)$62.73 
Forfeited— $— 
Non-vested RTSR performance share units outstanding at December 31, 2020176 $65.04 1.5$7.9 
Service-based Restricted Share Units  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Schedule of weighted average grant date fair value The weighted-average fair value per share at the date of grant for service-based restricted share units granted was as follows:
Year Ended
December 31,
2020
December 31,
2019
December 31,
2018
$54.68 $47.48 $81.51 
Performance-based Restricted Share Units  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Schedule of weighted average grant date fair value The weighted-average fair value per share at the date of grant for performance-based restricted share units granted was as follows:
Year Ended
December 31,
2020
December 31,
2019
December 31,
2018
$55.08 $47.54 $85.01