Disaggregation of Revenue - Schedule of disaggregation of revenue (Details) - USD ($) $ in Thousands	3 Months Ended
	Mar. 31, 2023	Mar. 31, 2022
Disaggregation of Revenue
Total revenues	$ 471,853	$ 456,108
Corporate
Disaggregation of Revenue
Total revenues	(5,083)	(5,589)
Intercompany
Disaggregation of Revenue
Total revenues	(5,083)	(5,589)
Corporate and Elimination
Disaggregation of Revenue
Total revenues	(5,083)	(5,589)
Enterprise Software | Intercompany
Disaggregation of Revenue
Total revenues	5,083	5,589
Enterprise Software | Operating segments
Disaggregation of Revenue
Total revenues	328,344	310,987
Platform Technologies | Intercompany
Disaggregation of Revenue
Total revenues	0	0
Platform Technologies | Operating segments
Disaggregation of Revenue
Total revenues	148,592	150,710
Recurring revenues
Disaggregation of Revenue
Total revenues	395,595	362,472
Recurring revenues | Corporate
Disaggregation of Revenue
Total revenues	0	0
Recurring revenues | Enterprise Software
Disaggregation of Revenue
Total revenues	258,495	231,011
Recurring revenues | Platform Technologies
Disaggregation of Revenue
Total revenues	137,100	131,461
Non-recurring revenues
Disaggregation of Revenue
Total revenues	76,258	93,636
Non-recurring revenues | Corporate
Disaggregation of Revenue
Total revenues	0	0
Non-recurring revenues | Enterprise Software
Disaggregation of Revenue
Total revenues	64,766	74,387
Non-recurring revenues | Platform Technologies
Disaggregation of Revenue
Total revenues	11,492	19,249
Products and services transferred at a point in time
Disaggregation of Revenue
Total revenues	14,480	21,184
Products and services transferred over time
Disaggregation of Revenue
Total revenues	457,373	434,924
SaaS
Disaggregation of Revenue
Total revenues	126,595	101,782
SaaS | Corporate
Disaggregation of Revenue
Total revenues	0	0
SaaS | Enterprise Software
Disaggregation of Revenue
Total revenues	111,042	90,771
SaaS | Platform Technologies
Disaggregation of Revenue
Total revenues	15,553	11,011
SaaS | Products and services transferred at a point in time
Disaggregation of Revenue
Total revenues	0	0
SaaS | Products and services transferred over time
Disaggregation of Revenue
Total revenues	126,595	101,782
Transaction-based fees
Disaggregation of Revenue
Total revenues	153,870	143,661
Transaction-based fees | Corporate
Disaggregation of Revenue
Total revenues	0	0
Transaction-based fees | Enterprise Software
Disaggregation of Revenue
Total revenues	37,372	29,545
Transaction-based fees | Platform Technologies
Disaggregation of Revenue
Total revenues	116,498	114,116
Transaction-based fees | Products and services transferred at a point in time
Disaggregation of Revenue
Total revenues	0	0
Transaction-based fees | Products and services transferred over time
Disaggregation of Revenue
Total revenues	153,870	143,661
Maintenance
Disaggregation of Revenue
Total revenues	115,130	117,029
Maintenance | Corporate
Disaggregation of Revenue
Total revenues	0	0
Maintenance | Enterprise Software
Disaggregation of Revenue
Total revenues	110,081	110,695
Maintenance | Platform Technologies
Disaggregation of Revenue
Total revenues	5,049	6,334
Maintenance | Products and services transferred at a point in time
Disaggregation of Revenue
Total revenues	0	0
Maintenance | Products and services transferred over time
Disaggregation of Revenue
Total revenues	115,130	117,029
Professional services
Disaggregation of Revenue
Total revenues	60,929	70,015
Professional services | Corporate
Disaggregation of Revenue
Total revenues	0	0
Professional services | Enterprise Software
Disaggregation of Revenue
Total revenues	51,499	51,167
Professional services | Platform Technologies
Disaggregation of Revenue
Total revenues	9,430	18,848
Professional services | Products and services transferred at a point in time
Disaggregation of Revenue
Total revenues	0	0
Professional services | Products and services transferred over time
Disaggregation of Revenue
Total revenues	60,929	70,015
Software licenses and royalties
Disaggregation of Revenue
Total revenues	10,130	16,506
Software licenses and royalties | Corporate
Disaggregation of Revenue
Total revenues	0	0
Software licenses and royalties | Enterprise Software
Disaggregation of Revenue
Total revenues	8,068	16,105
Software licenses and royalties | Platform Technologies
Disaggregation of Revenue
Total revenues	2,062	401
Software licenses and royalties | Products and services transferred at a point in time
Disaggregation of Revenue
Total revenues	9,281	14,069
Software licenses and royalties | Products and services transferred over time
Disaggregation of Revenue
Total revenues	849	2,437
Hardware and other
Disaggregation of Revenue
Total revenues	5,199	7,115
Hardware and other | Corporate
Disaggregation of Revenue
Total revenues	0	0
Hardware and other | Enterprise Software
Disaggregation of Revenue
Total revenues	5,199	7,115
Hardware and other | Platform Technologies
Disaggregation of Revenue
Total revenues	0	0
Hardware and other | Products and services transferred at a point in time
Disaggregation of Revenue
Total revenues	5,199	7,115
Hardware and other | Products and services transferred over time
Disaggregation of Revenue
Total revenues	$ 0	$ 0