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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 [Table Text Block]
Fair value is estimated at the grant date based on a Black-Scholes-Merton option-pricing model using the following weighted-average assumptions:
 
Year Ended September 30,
 
2018
 
2017
 
2016
Expected stock price volatility
30
%
 
31
%
 
28
%
Expected dividend yield
—
%
 
—
%
 
—
%
Risk free interest rate
1.23
%
 
0.99
%
 
0.83
%
Average expected life (in years)
3.06

 
3.08

 
3.06
Share-based Compensation, Stock Options, Activity [Table Text Block]
The following is a summary of stock option activity for the year ended September 30, 2018:
 
Shares
Available for
Grant
 
Number of
Options
Outstanding
 
Weighted
Average 
Exercise Price
 
Weighted
Average
Grant Date
Fair Value
 
Weighted
Average
Remaining
Term
(in years)
 
Aggregate
Intrinsic
Value
($ millions)
Balances at September 30, 2017
652,494

 
881,403

 
$
27.31

 
$
11.55

 
3.57
 
$
9.8

Granted
(79,800
)
 
79,800

 
$
44.17

 
$
9.79

 
 
 
 
Exercised
 
 
(110,423
)
 
$
23.79

 
$
7.98

 
 
 
 
Forfeited
13,324

 
(13,324
)
 
$
33.19

 
$
7.14

 
 
 
 
Expired
2,002

 
(2,002
)
 
$
32.60

 
$
6.78

 
 
 
 
Balances at September 30, 2018
588,020

 
835,454

 
$
29.27

 
$
11.93

 
3.01
 
$
15.9

Exercisable at September 30, 2018
 
 
314,366

 
$
27.16

 
$
11.68

 
2.81
 
$
6.7
Schedule of Share-based Compensation, Shares Authorized under Stock Option Plans, by Exercise Price Range [Table Text Block]
The options outstanding as of September 30, 2018 broken down by exercise price are as follows:
Exercise Price
 
Number of Options Outstanding
 
Weighted Average Exercise Price
 
Weighted Average Remaining Term
(in Years)
$
—

-
$
5.00

 
—

 
n/a

 
n/a
$
5.00

-
$
10.00

 
—

 
n/a

 
n/a
$
10.00

-
$
15.00

 
—

 
n/a

 
n/a
$
15.00

-
$
20.00

 
—

 
n/a

 
n/a
$
20.00

-
$
25.00

 
28,668

 
$
20.54

 
0.27
$
25.00

-
$
30.00

 
580,000

 
$
25.91

 
3.37
$
30.00

-
$
35.00

 
49,656

 
$
31.37

 
1.28
$
35.00

-
$
40.00

 
100,330

 
$
38.77

 
2.27
$
40.00

-
$
45.00

 
74,800

 
$
43.88

 
3.30
$
45.00

-
$
50.00

 
—

 
n/a

 
n/a
$
50.00

-
$
55.00

 
2,000

 
$
55.28

 
3.89
 
 
 
 
835,454

 
$
29.27

 
3.01
Schedule of Share-based Compensation, Restricted Stock Units Award Activity [Table Text Block]
The following is a summary of restricted stock activity through September 30, 2018:
 
Shares
Available for
Grant
 
Number of
Shares
Outstanding
 
Weighted
Average
Grant Date
Fair Value
 
Weighted
Average
Remaining
Term
(in years)
 
Aggregate
Intrinsic Value
($ millions)
Balances at September 30, 2017
1,459,976

 
354,474

 
$
33.34

 
1.26
 
$
13.6

Granted
(85,404
)
 
85,404

 
$
44.86

 
 
 
 
Vested
 
 
(162,544
)
 
$
31.14

 
 
 
 
Forfeited
2,706

 
(2,706
)
 
$
36.24

 
 
 
 
Balances at September 30, 2018
1,377,278

 
274,628

 
$
38.20

 
1.15
 
$
13.3