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Revenue from Contracts with Customers (Tables)
12 Months Ended
Dec. 31, 2020
Revenue from Contract with Customer [Abstract]  
Disaggregation of Revenue
The following table summarizes revenue:
Year Ended December 31,
(in thousands)202020192018
Revenue:
Lease licenses$500,105 $406,043 $275,619 
Perpetual licenses280,745 293,587 301,098 
Software licenses780,850 699,630 576,717 
Maintenance840,597 760,574 676,883 
Service59,850 55,688 40,036 
Maintenance and service900,447 816,262 716,919 
Total revenue$1,681,297 $1,515,892 $1,293,636 
Direct revenue, as a percentage of total revenue77.8 %77.1 %77.6 %
Indirect revenue, as a percentage of total revenue22.2 %22.9 %22.4 %
Changes in Deferred Revenue
The changes in deferred revenue, inclusive of both current and long-term deferred revenue, during the years ended December 31, 2020 and 2019 were as follows:
(in thousands)20202019
Beginning balance – January 1$365,274 $343,174 
Acquired deferred revenue6,872 6,880 
Deferral of revenue1,687,907 1,532,549 
Recognition of deferred revenue(1,681,297)(1,515,892)
Currency translation10,054 (1,437)
Ending balance – December 31$388,810 $365,274 
Remaining Performance Obligations, Expected Timing of Satisfaction
Total revenue allocated to remaining performance obligations as of December 31, 2020 will be recognized as revenue as follows:
(in thousands) 
Next 12 months$606,780 
Months 13-24199,909 
Months 25-3680,304 
Thereafter80,134 
Total revenue allocated to remaining performance obligations$967,127