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Stock-Based Compensation (Tables)
 6 Months Ended
Mar. 31, 2019
Share-based Compensation [Abstract]  
Stock Based Compensation Included in Consolidated Statements of Operations
The amounts included in the condensed consolidated statements of operations related to stock-based compensation are as follows (dollars in thousands): 
 
Three Months Ended March 31,
 
Six Months Ended March 31,
2019
 
2018
 
2019
 
2018
Cost of hosting and professional services
$
5,481

 
$
6,306

 
$
12,813

 
$
13,684

Cost of product and licensing
132

 
112

 
396

 
378

Cost of maintenance and support
381

 
538

 
147

 
1,219

Research and development
7,820

 
7,757

 
16,650

 
16,764

Sales and marketing
7,638

 
7,372

 
16,895

 
17,536

General and administrative
8,419

 
9,657

 
17,310

 
18,386

Total
$
29,871

 
$
31,742

 
$
64,211

 
$
67,967
Summary of Stock Options Activity
The table below summarizes activities related to stock options for the six months ended March 31, 2019:
 
Number of
Shares
 
Weighted
Average
Exercise
Price
 
Weighted
Average
Remaining
Contractual
Term
 
Aggregate
Intrinsic
Value (a)
Outstanding at September 30, 2018
19,144

 
$
17.31

 
 
 
 
Exercised
(1,500
)
 
$
12.79

 
 
 
 
Expired
(4,528
)
 
$
17.89

 
 
 
 
Outstanding at March 31, 2019
13,116

 
$
17.63

 
2.9 years
 
$
0.1
 million
Exercisable at March 31, 2019
13,116

 
$
17.63

 
2.9 years
 
$
0.1
 million
Exercisable at March 31, 2018
21,939

 
$
16.41

 
2.6 years
 
$
0.1
 million
(a) 
The aggregate intrinsic value in this table represents any excess of the closing market price of our common stock as of March 31, 2019 ($16.93) over the exercise price of the underlying options.
Summary of Activity Relating to Restricted Units and Restricted Stock Awards
he table below summarizes activities relating to restricted units for the six months ended March 31, 2019:
 
Number of Shares Underlying Restricted Units — Contingent Awards
 
Number of Shares Underlying Restricted Units — Time-Based Awards
Outstanding at September 30, 2018
3,039,568

 
6,872,087

Granted
1,332,963

 
5,913,256

Earned/released
(1,366,735
)
 
(4,594,896
)
Modification (a)
(296,759
)
 
296,759

Forfeited
(613,805
)
 
(937,614
)
Outstanding March 31, 2019
2,095,232

 
7,549,592

Weighted average remaining recognition period of outstanding restricted units
1.9 years

 
1.7 years

Unrecognized stock-based compensation expense of outstanding restricted units
$30.4 million
 
$71.2 million
Aggregate intrinsic value of outstanding restricted units (b)
$40.2 million
 
$123.3 million
                    
(a) 
296,759 shares of contingently issuable awards with market conditions were modified to time-based awards with only service conditions in December 2018.
(b) 
The aggregate intrinsic value in this table represents any excess of the closing market price of our common stock as of March 31, 2019 ($16.93) over the purchase price of the underlying restricted units.
Summary of Weighted-Average Grant-Date Fair Value and Intrinsic Value of Restricted Units and Restricted Stock Awards Vested
A summary of the weighted-average grant-date fair value of restricted units granted, and the aggregate intrinsic value of restricted units vested during the periods noted is as follows: 
 
Six Months Ended March 31,
2019
 
2018
Weighted-average grant-date fair value per share
$
16.35

 
$
15.67

Total intrinsic value of shares vested (in millions)
$
95.2

 
$
94.0