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Unearned Revenue
6 Months Ended
Jun. 30, 2020
Unearned Revenue  
Unearned revenue

14.Unearned Revenue

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Changes in unearned revenue were as follows for the three and six months ended June 30, 2020 and 2019:

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Three Months Ended

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Six Months Ended

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​

June 30, 

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June 30, 

(in thousands)

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2020

    

2019

    

2020

    

2019

Balance, beginning of period

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$

114,038

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$

102,879

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$

118,211

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$

105,837

Billings, excluding billings for customer arrangements with termination rights

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​

53,047

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​

49,477

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​

93,838

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​

89,800

Additions to unearned revenue upon expiration of termination rights

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​

4,599

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​

5,062

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​

9,244

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​

10,062

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

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(58,746)

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(51,019)

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(108,355)

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​

(99,300)

Acquired unearned revenue

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​

275

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—

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​

275

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—

Balance, end of period

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$

113,213

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$

106,399

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$

113,213

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$

106,399

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

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Three Months Ended

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Six Months Ended

​

​

June 30, 

​

June 30, 

(in thousands)

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2020

    

2019

    

2020

    

2019

Revenue billed as of the end of period

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$

58,746

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$

51,019

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$

108,355

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$

99,300

Increase (decrease) in total unbilled accounts receivable

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​

179

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​

(154)

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​

268

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​

(353)

Revenue Reported in Condensed Consolidated Statement of Operations

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$

58,925

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$

50,865

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$

108,623

​

$

98,947

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Revenue allocated to remaining performance obligations includes unearned revenue plus contractually committed amounts that will be invoiced and recognized as revenue in future periods, but excludes amounts invoiced and not recognized as revenue under customer arrangements that contain termination rights. Remaining performance obligations were $126.0 million as of June 30, 2020, of which we expect to recognize approximately 74% as revenue over the next 12 months and the remainder thereafter.

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As of June 30, 2020 and December 31, 2019, the balance of customer arrangements that contain termination rights was $12.1 million and $16.1 million, respectively.