Disaggregation of Revenue - Schedule of Disaggregation of Revenue (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2024	Sep. 30, 2023
Disaggregation of Revenue
Total revenues	$ 543,337	$ 494,684	$ 1,596,672	$ 1,470,817
Corporate
Disaggregation of Revenue
Total revenues	(11,748)	(5,984)	(17,981)	(10,548)
Intercompany
Disaggregation of Revenue
Total revenues	(11,748)	(5,943)	(24,894)	(17,878)
Corporate and Elimination
Disaggregation of Revenue
Total revenues	(11,748)	(5,984)	(17,981)	(10,548)
Enterprise Software \| Intercompany
Disaggregation of Revenue
Total revenues	6,983	5,943	19,665	17,878
Enterprise Software \| Operating Segments
Disaggregation of Revenue
Total revenues	390,731	353,755	1,139,250	1,024,573
Platform Technologies \| Intercompany
Disaggregation of Revenue
Total revenues	4,765	0	5,229	0
Platform Technologies \| Operating Segments
Disaggregation of Revenue
Total revenues	164,354	146,913	475,403	456,792
Recurring revenues
Disaggregation of Revenue
Total revenues	462,757	412,674	1,342,209	1,222,598
Recurring revenues \| Corporate
Disaggregation of Revenue
Total revenues	0	0	0	0
Recurring revenues \| Enterprise Software
Disaggregation of Revenue
Total revenues	315,352	277,497	907,502	800,498
Recurring revenues \| Platform Technologies
Disaggregation of Revenue
Total revenues	147,405	135,177	434,707	422,100
Non-recurring revenues
Disaggregation of Revenue
Total revenues	80,580	82,010	254,463	248,219
Non-recurring revenues \| Corporate
Disaggregation of Revenue
Total revenues	0	(41)	6,913	7,330
Non-recurring revenues \| Enterprise Software
Disaggregation of Revenue
Total revenues	68,396	70,315	212,083	206,197
Non-recurring revenues \| Platform Technologies
Disaggregation of Revenue
Total revenues	12,184	11,736	35,467	34,692
Products and services transferred at a point in time
Disaggregation of Revenue
Total revenues	15,276	20,276	51,013	57,301
Products and services transferred over time
Disaggregation of Revenue
Total revenues	528,061	474,408	1,545,659	1,413,516
SaaS
Disaggregation of Revenue
Total revenues	166,624	138,509	471,386	387,022
SaaS \| Corporate
Disaggregation of Revenue
Total revenues	0	0	0	0
SaaS \| Enterprise Software \| Operating Segments
Disaggregation of Revenue
Total revenues	144,445	120,747	408,632	338,128
SaaS \| Platform Technologies \| Operating Segments
Disaggregation of Revenue
Total revenues	22,179	17,762	62,754	48,894
SaaS \| Products and services transferred at a point in time
Disaggregation of Revenue
Total revenues	0	0	0	0
SaaS \| Products and services transferred over time
Disaggregation of Revenue
Total revenues	166,624	138,509	471,386	387,022
Transaction-based fees
Disaggregation of Revenue
Total revenues	180,546	156,681	522,709	486,422
Transaction-based fees \| Corporate
Disaggregation of Revenue
Total revenues	0	0	0	0
Transaction-based fees \| Enterprise Software \| Operating Segments
Disaggregation of Revenue
Total revenues	61,561	45,176	169,146	130,761
Transaction-based fees \| Platform Technologies \| Operating Segments
Disaggregation of Revenue
Total revenues	118,985	111,505	353,563	355,661
Transaction-based fees \| Products and services transferred at a point in time
Disaggregation of Revenue
Total revenues	0	0	0	0
Transaction-based fees \| Products and services transferred over time
Disaggregation of Revenue
Total revenues	180,546	156,681	522,709	486,422
Maintenance
Disaggregation of Revenue
Total revenues	115,587	117,484	348,114	349,154
Maintenance \| Corporate
Disaggregation of Revenue
Total revenues	0	0	0	0
Maintenance \| Enterprise Software \| Operating Segments
Disaggregation of Revenue
Total revenues	109,346	111,574	329,724	331,609
Maintenance \| Platform Technologies \| Operating Segments
Disaggregation of Revenue
Total revenues	6,241	5,910	18,390	17,545
Maintenance \| Products and services transferred at a point in time
Disaggregation of Revenue
Total revenues	0	0	0	0
Maintenance \| Products and services transferred over time
Disaggregation of Revenue
Total revenues	115,587	117,484	348,114	349,154
Professional services
Disaggregation of Revenue
Total revenues	64,462	61,126	201,196	188,475
Professional services \| Corporate
Disaggregation of Revenue
Total revenues	0	0	0	0
Professional services \| Enterprise Software \| Operating Segments
Disaggregation of Revenue
Total revenues	53,947	52,413	167,571	159,168
Professional services \| Platform Technologies \| Operating Segments
Disaggregation of Revenue
Total revenues	10,515	8,713	33,625	29,307
Professional services \| Products and services transferred at a point in time
Disaggregation of Revenue
Total revenues	0	0	0	0
Professional services \| Products and services transferred over time
Disaggregation of Revenue
Total revenues	64,462	61,126	201,196	188,475
Software licenses and royalties
Disaggregation of Revenue
Total revenues	6,188	10,554	20,251	30,463
Software licenses and royalties \| Corporate
Disaggregation of Revenue
Total revenues	0	0	0	0
Software licenses and royalties \| Enterprise Software \| Operating Segments
Disaggregation of Revenue
Total revenues	5,424	7,531	19,314	25,078
Software licenses and royalties \| Platform Technologies \| Operating Segments
Disaggregation of Revenue
Total revenues	764	3,023	937	5,385
Software licenses and royalties \| Products and services transferred at a point in time
Disaggregation of Revenue
Total revenues	5,346	9,946	17,997	28,020
Software licenses and royalties \| Products and services transferred over time
Disaggregation of Revenue
Total revenues	842	608	2,254	2,443
Hardware and other
Disaggregation of Revenue
Total revenues	9,930	10,330	33,016	29,281
Hardware and other \| Corporate
Disaggregation of Revenue
Total revenues	0	(41)	6,913	7,330
Hardware and other \| Enterprise Software \| Operating Segments
Disaggregation of Revenue
Total revenues	9,025	10,371	25,198	21,951
Hardware and other \| Platform Technologies \| Operating Segments
Disaggregation of Revenue
Total revenues	905	0	905	0
Hardware and other \| Products and services transferred at a point in time
Disaggregation of Revenue
Total revenues	9,930	10,330	33,016	29,281
Hardware and other \| Products and services transferred over time
Disaggregation of Revenue
Total revenues	$ 0	$ 0	$ 0	$ 0