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Unearned Revenue (Tables)
6 Months Ended
Jun. 30, 2020
Unearned Revenue  
Schedule of changes in unearned revenue

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Three Months Ended

​

Six Months Ended

​

​

June 30, 

​

June 30, 

(in thousands)

​

2020

    

2019

    

2020

    

2019

Balance, beginning of period

​

$

114,038

​

$

102,879

​

$

118,211

​

$

105,837

Billings, excluding billings for customer arrangements with termination rights

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​

53,047

​

​

49,477

​

​

93,838

​

​

89,800

Additions to unearned revenue upon expiration of termination rights

​

​

4,599

​

​

5,062

​

​

9,244

​

​

10,062

Recognition of revenue, net of change in unbilled accounts receivable*

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​

(58,746)

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​

(51,019)

​

​

(108,355)

​

​

(99,300)

Acquired unearned revenue

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​

275

​

​

—

​

​

275

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​

—

Balance, end of period

​

$

113,213

​

$

106,399

​

$

113,213

​

$

106,399

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​

​

​

​

​

​

​

​

​

​

​

​

* Reconciliation to Revenue Reported per Condensed Consolidated Statement of Operations:

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Three Months Ended

​

Six Months Ended

​

​

June 30, 

​

June 30, 

(in thousands)

​

2020

    

2019

    

2020

    

2019

Revenue billed as of the end of period

​

$

58,746

​

$

51,019

​

$

108,355

​

$

99,300

Increase (decrease) in total unbilled accounts receivable

​

​

179

​

​

(154)

​

​

268

​

​

(353)

Revenue Reported in Condensed Consolidated Statement of Operations

​

$

58,925

​

$

50,865

​

$

108,623

​

$

98,947