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Share-Based Compensation (Tables)
 12 Months Ended
Sep. 30, 2018
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Schedule of Share-Based Payment Award, Stock Options, Valuation Assumptions
We estimated the fair value of each stock option on the date of grant using the Black-Scholes pricing model and the following assumptions:
 
 
2018
 
2017
 
2016
Average risk-free interest rate
 
2.14
%
 
1.85
%
 
1.76
%
Expected dividend yield
 
1.75
%
 
2.21
%
 
2.78
%
Expected volatility
 
22
%
 
24
%
 
29
%
Expected term (years)
 
5.0

 
5.1

 
5.1
Schedule of Share-Based Compensation, Stock Options, Activity
A summary of stock option activity for the year ended September 30, 2018 is:
 
 
Shares
(in thousands)
 
Wtd. Avg.
Exercise
Price
 
Wtd. Avg.
Remaining
Contractual
Term (years)
 
Aggregate
Intrinsic Value
of In-The-Money
Options
(in millions)
Outstanding at October 1, 2017
 
3,889

 
$
108.10

 
 
 
 
Granted
 
894

 
191.87

 
 
 
 
Exercised
 
(798
)
 
102.54

 
 
 
 
Forfeited
 
(68
)
 
158.18

 
 
 
 
Canceled
 
(3
)
 
94.85

 
 
 
 
Outstanding at September 30, 2018
 
3,914

 
127.50

 
6.9
 
$
234.9

Vested or expected to vest at September 30, 2018
 
2,796

 
100.84

 
5.6
 
242.4

Exercisable at September 30, 2018
 
2,053

 
101.20

 
5.5
 
177.2
Schedule of Nonvested Performance-based Units Activity
A summary of performance share activity for the year ended September 30, 2018 is as follows:
 
 
Performance
Shares
(in thousands)
 
Wtd. Avg.
Grant Date
Share
Fair Value
Outstanding at October 1, 2017
 
190

 
$
112.64

Granted(1)
 
40

 
219.04

Adjustment for performance results achieved(2)
 
64

 
190.46

Vested and issued
 
(139
)
 
144.07

Forfeited
 
(5
)
 
152.93

Outstanding at September 30, 2018
 
150

 
143.94


(1) 
Performance shares granted assuming achievement of performance goals at target.
(2) 
Adjustments were due to the number of shares vested under the fiscal 2015 awards at the end of the three-year performance period ended September 30, 2017 being higher than the target number of shares.
Schedule of Performance Shares Vested
The following table summarizes information about performance shares vested during the years ended September 30, 2018, 2017 and 2016:
 
 
2018
 
2017
 
2016
Percent payout
 
187
%
 
10
%
 
93
%
Shares vested (in thousands)
 
139

 
6

 
67

Total fair value of shares vested (in millions)
 
$
26.5

 
$
0.9

 
$
7.1
Schedule of Share-Based Payment Award, Performance-Based Units, Valuation Assumptions
The per-share fair value of performance share awards granted during the years ended September 30, 2018, 2017 and 2016 was $219.04, $174.37 and $87.64, respectively, which we determined using a Monte Carlo simulation and the following assumptions:
 
 
2018
 
2017
 
2016
Average risk-free interest rate
 
1.88
%
 
1.35
%
 
1.21
%
Expected dividend yield
 
1.72
%
 
2.20
%
 
2.75
%
Expected volatility
 
22
%
 
23
%
 
22
%
Schedule of Share-based Compensation, Restricted Stock and Restricted Stock Units Activity
A summary of restricted stock and restricted stock unit activity for the year ended September 30, 2018 is as follows:
 
 
Restricted
Stock and
Restricted
Stock Units
(in thousands)
 
Wtd. Avg.
Grant Date
Share
Fair Value
Outstanding at October 1, 2017
 
141

 
$
118.87

Granted
 
47

 
188.41

Vested
 
(38
)
 
115.19

Forfeited
 
(4
)
 
142.33

Outstanding at September 30, 2018
 
146

 
$
141.35