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Revenue from Contracts with Customers
3 Months Ended
Mar. 31, 2019
Revenue from Contract with Customer [Abstract]  
Revenue from Contracts with Customers Revenue from Contracts with Customers
Disaggregation of Revenue
The following table summarizes revenue:
 
Three Months Ended
(in thousands)
March 31, 2019
 
March 31, 2018
Revenue:
 
 
 
Lease licenses
$
69,256

 
$
48,772

Perpetual licenses
53,788

 
61,274

Software licenses
123,044

 
110,046

Maintenance
181,461

 
163,896

Service
12,625

 
8,931

Maintenance and service
194,086

 
172,827

Total revenue
$
317,130

 
$
282,873


The Company’s software licenses revenue is recognized up front, while maintenance and service revenue is generally recognized over the term of the contract. The Company derived 29.5% and 23.5% of its total revenue through the indirect sales channel for the three months ended March 31, 2019 and 2018, respectively.
Deferred Revenue
Deferred revenue consists of billings made or payments received in advance of revenue recognition from software license and maintenance agreements. The timing of revenue recognition may differ from the timing of billings to customers. Payment terms vary by the type and location of customer and the products or services offered. The time between invoicing and when payment is due is not significant.
The changes in deferred revenue, inclusive of both current and long-term deferred revenue, during the three months ended March 31, 2019 and 2018 were as follows:
(in thousands)
2019
 
2018
Beginning balance – January 1
$
343,174

 
$
299,730

Acquired deferred revenue
2,349

 

Deferral of revenue
318,279

 
307,978

Recognition of revenue
(317,130
)
 
(282,873
)
Currency translation
(2,396
)
 
4,559

Ending balance – March 31
$
344,276

 
$
329,394


Revenue allocated to remaining performance obligations represents contracted revenue that has not yet been recognized, and includes both deferred revenue and backlog. The Company's backlog represents installment billings for periods beyond the current quarterly billing cycle and customer orders received but not processed. Revenue recognized during the three months ended March 31, 2019 and 2018 included amounts in deferred revenue and backlog at the beginning of the period of $172.6 million and $145.8 million, respectively. Total revenue allocated to remaining performance obligations as of March 31, 2019 will be recognized as revenue as follows:
(in thousands)
 
Next 12 months
$
477,092

Months 13-24
119,694

Months 25-36
44,061

Thereafter
31,801

Total revenue allocated to remaining performance obligations
$
672,648