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Revenue from Contracts with Customers (Tables)
3 Months Ended
Mar. 31, 2020
Revenue from Contract with Customer [Abstract]  
Disaggregation of Revenue [Table Text Block]
The following table presents revenues disaggregated by our business models:

Three Months Ended
20202019
(In thousands)Domestic
Segment
International
Segment
TotalDomestic
Segment
International
Segment
Total
Licensed software$146,497  $11,535  $158,032  $140,445  $14,032  $154,477  
Technology resale44,449  7,038  51,487  49,158  6,382  55,540  
Subscriptions86,936  7,449  94,385  77,702  6,589  84,291  
Professional services452,784  58,562  511,346  437,229  53,210  490,439  
Managed services279,736  29,618  309,354  277,325  27,068  304,393  
Support and maintenance223,416  50,265  273,681  226,481  50,482  276,963  
Reimbursed travel12,597  859  13,456  22,490  1,284  23,774  
Total revenues$1,246,415  $165,326  $1,411,741  $1,230,830  $159,047  $1,389,877  

The following table presents our revenues disaggregated by timing of revenue recognition:

Three Months Ended
20202019
(In thousands)Domestic
Segment
International
Segment
TotalDomestic
Segment
International
Segment
Total
Revenue recognized over time$1,165,515  $153,444  $1,318,959  $1,135,982  $142,211  $1,278,193  
Revenue recognized at a point in time80,900  11,882  92,782  94,848  16,836  111,684  
Total revenues$1,246,415  $165,326  $1,411,741  $1,230,830  $159,047  $1,389,877