Segment and Related Information - Schedule of Segment Revenues and Operations (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2024	Sep. 30, 2023
Segment Reporting Information
Total revenues	$ 543,337	$ 494,684	$ 1,596,672	$ 1,470,817
Segment operating income (loss)	82,827	63,935	227,840	170,789
Operating Segments \| Enterprise Software
Segment Reporting Information
Total revenues	390,731	353,755	1,139,250	1,024,573
Segment operating income (loss)	139,874	121,560	404,159	332,725
Operating Segments \| Platform Technologies
Segment Reporting Information
Total revenues	164,354	146,913	475,403	456,792
Segment operating income (loss)	32,866	31,411	96,030	99,746
Intercompany
Segment Reporting Information
Total revenues	(11,748)	(5,943)	(24,894)	(17,878)
Intercompany \| Enterprise Software
Segment Reporting Information
Total revenues	6,983	5,943	19,665	17,878
Intercompany \| Platform Technologies
Segment Reporting Information
Total revenues	4,765	0	5,229	0
Corporate
Segment Reporting Information
Total revenues	(11,748)	(5,984)	(17,981)	(10,548)
Segment operating income (loss)	(66,819)	(61,475)	(198,813)	(179,503)
Operating Segment and Corporate Non-segment
Segment Reporting Information
Segment operating income (loss)	105,921	91,496	301,376	252,968
SaaS
Segment Reporting Information
Total revenues	166,624	138,509	471,386	387,022
SaaS \| Operating Segments \| Enterprise Software
Segment Reporting Information
Total revenues	144,445	120,747	408,632	338,128
SaaS \| Operating Segments \| Platform Technologies
Segment Reporting Information
Total revenues	22,179	17,762	62,754	48,894
SaaS \| Corporate
Segment Reporting Information
Total revenues	0	0	0	0
Transaction-based fees
Segment Reporting Information
Total revenues	180,546	156,681	522,709	486,422
Transaction-based fees \| Operating Segments \| Enterprise Software
Segment Reporting Information
Total revenues	61,561	45,176	169,146	130,761
Transaction-based fees \| Operating Segments \| Platform Technologies
Segment Reporting Information
Total revenues	118,985	111,505	353,563	355,661
Transaction-based fees \| Corporate
Segment Reporting Information
Total revenues	0	0	0	0
Maintenance
Segment Reporting Information
Total revenues	115,587	117,484	348,114	349,154
Maintenance \| Operating Segments \| Enterprise Software
Segment Reporting Information
Total revenues	109,346	111,574	329,724	331,609
Maintenance \| Operating Segments \| Platform Technologies
Segment Reporting Information
Total revenues	6,241	5,910	18,390	17,545
Maintenance \| Corporate
Segment Reporting Information
Total revenues	0	0	0	0
Professional services
Segment Reporting Information
Total revenues	64,462	61,126	201,196	188,475
Professional services \| Operating Segments \| Enterprise Software
Segment Reporting Information
Total revenues	53,947	52,413	167,571	159,168
Professional services \| Operating Segments \| Platform Technologies
Segment Reporting Information
Total revenues	10,515	8,713	33,625	29,307
Professional services \| Corporate
Segment Reporting Information
Total revenues	0	0	0	0
Software licenses and royalties
Segment Reporting Information
Total revenues	6,188	10,554	20,251	30,463
Software licenses and royalties \| Operating Segments \| Enterprise Software
Segment Reporting Information
Total revenues	5,424	7,531	19,314	25,078
Software licenses and royalties \| Operating Segments \| Platform Technologies
Segment Reporting Information
Total revenues	764	3,023	937	5,385
Software licenses and royalties \| Corporate
Segment Reporting Information
Total revenues	0	0	0	0
Hardware and other
Segment Reporting Information
Total revenues	9,930	10,330	33,016	29,281
Hardware and other \| Operating Segments \| Enterprise Software
Segment Reporting Information
Total revenues	9,025	10,371	25,198	21,951
Hardware and other \| Operating Segments \| Platform Technologies
Segment Reporting Information
Total revenues	905	0	905	0
Hardware and other \| Corporate
Segment Reporting Information
Total revenues	$ 0	$ (41)	$ 6,913	$ 7,330