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Share-Based Compensation Plans (Tables)
12 Months Ended
Dec. 31, 2019
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,
2019
 
December 31,
2018
 
December 31,
2017
$
52.2

 
$
37.7

 
$
43.8


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, 2017
1,072

 
$
94.90

 
 
 
 
Granted
521

 
$
82.43

 
 
 
 
Exercised
(33
)
 
$
42.06

 
 
 
 
Forfeited or expired
(26
)
 
$
97.82

 
 
 
 
Options outstanding at December 31, 2018
1,534

 
$
91.56

 
6.9
 
$
0.1

Granted

 
$

 
 
 
 
Exercised
(27
)
 
$
34.30

 
 
 
 
Forfeited or expired
(43
)
 
$
99.58

 
 
 
 
Options outstanding December 31, 2019
1,464

 
$
92.33

 
5.8
 
$

Options exercisable
1,012

 
$
98.27

 
5.3
 
$

Options expected to vest
437

 
$
79.11

 
7.0
 
$


Schedule of aggregate intrinsic value
The aggregate intrinsic value for options exercised was as follows (in millions):
Year Ended
December 31,
2019
 
December 31,
2018
 
December 31,
2017
$
0.5

 
$
1.1

 
$
1.7


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,
2018
 
December 31,
2017
$
24.43

 
$
19.50


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
 
December 31,
2017
Dividend yield
0.8
%
 
0.9
%
Volatility, as a percent
31.2
%
 
30.0
%
Risk-free interest rate
2.8
%
 
1.8
%
Expected life in years
5.6

 
5.4


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, 2017
599

 
$
107.26

 
 
 
 
Granted
385

 
$
81.51

 
 
 
 
Vested
(204
)
 
$
121.10

 
 
 
 
Forfeited
(52
)
 
$
107.31

 
 
 
 
Non-vested service-based share units outstanding at December 31, 2018
728

 
$
89.47

 
1.4
 
$
28.2

Granted
818

 
$
47.48

 
 
 
 
Vested
(269
)
 
$
95.09

 
 
 
 
Forfeited
(66
)
 
$
71.03

 
 
 
 
Non-vested service-based share units outstanding at December 31, 2019
1,211

 
$
60.96

 
1.4
 
$
62.5


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,
2019
 
December 31,
2018
 
December 31,
2017
$
25.6

 
$
24.6

 
$
14.5



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, 2017
303

 
$
93.65

 
 
 
 
Granted
207

 
$
85.01

 
 
 
 
Vested
(13
)
 
$
176.59

 
 
 
 
Forfeited
(55
)
 
$
85.94

 
 
 
 
Non-vested performance-based share units outstanding at December 31, 2018
442

 
$
86.61

 
1.5
 
$
17.2

Granted
298

 
$
47.54

 
 
 
 
Vested
(68
)
 
$
116.35

 
 
 
 
Forfeited
(19
)
 
$
72.83

 
 
 
 
Non-vested performance-based share units outstanding at December 31, 2019
653

 
$
61.44

 
1.5
 
$
33.7


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,
2019
 
December 31,
2018
 
December 31,
2017
$
8.0

 
$
2.4

 
$
3.8


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,
2019
 
December 31,
2018
 
December 31,
2017
$
55.61

 
$
101.13

 
$
64.82


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,
2019
 
December 31,
2018
 
December 31,
2017
Dividend yield
1.6
%
 
0.9
%
 
0.9
%
Volatility, as a percent
40.2
%
 
35.3
%
 
36.1
%
Risk-free interest rate
1.9
%
 
2.4
%
 
1.4
%
Expected life in years
2.4

 
2.8

 
2.6


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, 2017
39

 
$
64.82

 
 
 
 
Granted
38

 
$
101.13

 
 
 
 
Forfeited
(15
)
 
$
101.13

 
 
 
 
Non-vested RTSR performance share units outstanding at December 31, 2018
62

 
$
78.35

 
1.7
 
$
2.4

Granted
80

 
$
55.61

 
 
 
 
Vested

 
$

 
 
 
 
Forfeited

 
$

 
 
 
 
Non-vested RTSR performance share units outstanding at December 31, 2019
142

 
$
63.02

 
1.5
 
$
7.3


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 (in millions):
Year Ended
December 31,
2019
 
December 31,
2018
 
December 31,
2017
$
47.48

 
$
81.51

 
$
70.55


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,
2019
 
December 31,
2018
 
December 31,
2017
$
47.54

 
$
85.01

 
$
70.34