Segment and Related Information - Schedule of Segment Revenues and Operations (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2023	Sep. 30, 2022
Segment Reporting Information
Total revenues	$ 494,684	$ 473,191	$ 1,470,817	$ 1,397,983
Segment operating income (loss)	63,935	60,913	170,789	173,538
Operating Segments \| Enterprise Software
Segment Reporting Information
Total revenues	353,755	327,879	1,024,573	954,435
Segment operating income (loss)	121,560	110,693	332,725	319,312
Operating Segments \| Platform Technologies
Segment Reporting Information
Total revenues	146,913	148,704	456,792	454,261
Segment operating income (loss)	31,411	33,466	99,746	100,500
Intercompany
Segment Reporting Information
Total revenues	(5,943)	(5,541)	(17,878)	(16,472)
Intercompany \| Enterprise Software
Segment Reporting Information
Total revenues	5,943	5,541	17,878	16,472
Intercompany \| Platform Technologies
Segment Reporting Information
Total revenues	0	0	0	0
Corporate
Segment Reporting Information
Total revenues	(5,984)	(3,392)	(10,548)	(10,713)
Segment operating income (loss)	(61,475)	(54,683)	(179,503)	(162,133)
Operating Segment and Corporate Non-segment
Segment Reporting Information
Segment operating income (loss)	91,496	89,476	252,968	257,679
SaaS
Segment Reporting Information
Total revenues	138,509	109,912	387,022	312,734
SaaS \| Operating Segments \| Enterprise Software
Segment Reporting Information
Total revenues	120,747	97,279	338,128	277,327
SaaS \| Operating Segments \| Platform Technologies
Segment Reporting Information
Total revenues	17,762	12,633	48,894	35,407
SaaS \| Corporate
Segment Reporting Information
Total revenues	0	0	0	0
Transaction-based fees
Segment Reporting Information
Total revenues	156,681	144,434	486,422	442,870
Transaction-based fees \| Operating Segments \| Enterprise Software
Segment Reporting Information
Total revenues	45,176	38,057	130,761	107,019
Transaction-based fees \| Operating Segments \| Platform Technologies
Segment Reporting Information
Total revenues	111,505	106,377	355,661	335,851
Transaction-based fees \| Corporate
Segment Reporting Information
Total revenues	0	0	0	0
Maintenance
Segment Reporting Information
Total revenues	117,484	117,338	349,154	351,182
Maintenance \| Operating Segments \| Enterprise Software
Segment Reporting Information
Total revenues	111,574	111,486	331,609	332,941
Maintenance \| Operating Segments \| Platform Technologies
Segment Reporting Information
Total revenues	5,910	5,852	17,545	18,241
Maintenance \| Corporate
Segment Reporting Information
Total revenues	0	0	0	0
Professional services
Segment Reporting Information
Total revenues	61,126	71,818	188,475	213,770
Professional services \| Operating Segments \| Enterprise Software
Segment Reporting Information
Total revenues	52,413	51,079	159,168	152,899
Professional services \| Operating Segments \| Platform Technologies
Segment Reporting Information
Total revenues	8,713	20,739	29,307	60,871
Professional services \| Corporate
Segment Reporting Information
Total revenues	0	0	0	0
Software licenses and royalties
Segment Reporting Information
Total revenues	10,554	20,269	30,463	51,784
Software licenses and royalties \| Operating Segments \| Enterprise Software
Segment Reporting Information
Total revenues	7,531	17,166	25,078	47,893
Software licenses and royalties \| Operating Segments \| Platform Technologies
Segment Reporting Information
Total revenues	3,023	3,103	5,385	3,891
Software licenses and royalties \| Corporate
Segment Reporting Information
Total revenues	0	0	0	0
Hardware and other
Segment Reporting Information
Total revenues	10,330	9,420	29,281	25,643
Hardware and other \| Operating Segments \| Enterprise Software
Segment Reporting Information
Total revenues	10,371	7,271	21,951	19,884
Hardware and other \| Operating Segments \| Platform Technologies
Segment Reporting Information
Total revenues	0	0	0	0
Hardware and other \| Corporate
Segment Reporting Information
Total revenues	$ (41)	$ 2,149	$ 7,330	$ 5,759