Revenue from Contracts with Customers (Tables)

9 Months Ended

Sep. 30, 2019

Revenue from Contract with Customer [Abstract]

The following table summarizes revenue:



	Three Months Ended						Nine Months Ended
(in thousands, except percentages)	September 30, 2019			September 30, 2018			September 30, 2019			September 30, 2018
Revenue:
Lease licenses	$	70,693		$	43,202		$	239,953		$	148,795
Perpetual licenses	66,451			65,901			190,734			201,501
Software licenses	137,144			109,103			430,687			350,296
Maintenance	193,189			171,463			559,768			500,962
Service	13,566			8,852			39,209			26,946
Maintenance and service	206,755			180,315			598,977			527,908
Total revenue	$	343,899		$	289,418		$	1,029,664		$	878,204

Direct revenue, as a percentage of total revenue	76.8		%	75.5		%	75.9		%	76.1		%
Indirect revenue, as a percentage of total revenue	23.2		%	24.5		%	24.1		%	23.9		%

Changes in Deferred Revenue

The changes in deferred revenue, inclusive of both current and long-term deferred revenue, during the nine months ended September 30, 2019 and 2018 were as follows:



(in thousands)	2019			2018
Beginning balance – January 1	$	343,174		$	299,730
Acquired deferred revenue	3,266			2,470
Deferral of revenue	991,524			868,522
Recognition of revenue	(1,029,664		)	(878,204		)
Currency translation	(4,985		)	(6,065		)
Ending balance – September 30	$	303,315		$	286,453

Remaining Performance Obligations, Expected Timing of Satisfaction

Total revenue allocated to remaining performance obligations as of September 30, 2019 will be recognized as revenue as follows:



(in thousands)
Next 12 months	$	445,934
Months 13-24	122,932
Months 25-36	52,090
Thereafter	29,431
Total revenue allocated to remaining performance obligations	$	650,387