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Disaggregation of Revenue - Schedule of disaggregation of revenue (Details) - USD ($) $ in Thousands | 3 Months Ended | 6 Months Ended
--- | --- | ---
Jun. 30, 2023 | Jun. 30, 2022 | Jun. 30, 2023 | Jun. 30, 2022
Disaggregation of Revenue |  |  |  |
Total revenues | $ 504,279 | $ 468,685 | $ 976,133 | $ 924,792
Corporate |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 519 | (1,732) | (4,564) | (7,321)
Intercompany |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | (6,852) | (5,342) | (11,935) | (10,931)
Corporate and Elimination |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 519 | (1,732) | (4,564) | (7,321)
Enterprise Software | Intercompany |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 6,852 | 5,342 | 11,935 | 10,931
Enterprise Software | Operating segments |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 342,475 | 315,570 | 670,820 | 626,556
Platform Technologies | Intercompany |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 0 | 0 | 0 | 0
Platform Technologies | Operating segments |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 161,285 | 154,847 | 309,877 | 305,557
Recurring revenues |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 414,328 | 372,631 | 809,924 | 735,103
Recurring revenues | Corporate |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 0 | 0 | 0 | 0
Recurring revenues | Enterprise Software |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 264,507 | 239,454 | 523,003 | 470,465
Recurring revenues | Platform Technologies |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 149,821 | 133,177 | 286,921 | 264,638
Non-recurring revenues |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 89,951 | 96,054 | 166,209 | 189,689
Non-recurring revenues | Corporate |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 7,371 | 3,610 | 7,371 | 3,610
Non-recurring revenues | Enterprise Software |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 71,116 | 70,774 | 135,882 | 145,160
Non-recurring revenues | Platform Technologies |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 11,464 | 21,670 | 22,956 | 40,919
Products and services transferred at a point in time |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 22,545 | 21,791 | 37,025 | 42,974
Products and services transferred over time |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 481,734 | 446,894 | 939,108 | 881,818
SaaS |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 131,456 | 109,505 | 258,051 | 211,287
SaaS | Corporate |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 0 | 0 | 0 | 0
SaaS | Enterprise Software |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 115,877 | 97,703 | 226,919 | 188,474
SaaS | Platform Technologies |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 15,579 | 11,802 | 31,132 | 22,813
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 | 131,456 | 109,505 | 258,051 | 211,287
Transaction-based fees |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 166,333 | 146,311 | 320,203 | 289,972
Transaction-based fees | Corporate |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 0 | 0 | 0 | 0
Transaction-based fees | Enterprise Software |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 38,677 | 30,991 | 76,049 | 60,536
Transaction-based fees | Platform Technologies |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 127,656 | 115,320 | 244,154 | 229,436
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 | 166,333 | 146,311 | 320,203 | 289,972
Maintenance |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 116,539 | 116,815 | 231,670 | 233,844
Maintenance | Corporate |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 0 | 0 | 0 | 0
Maintenance | Enterprise Software |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 109,953 | 110,760 | 220,035 | 221,455
Maintenance | Platform Technologies |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 6,586 | 6,055 | 11,635 | 12,389
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 | 116,539 | 116,815 | 231,670 | 233,844
Professional services |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 66,420 | 71,937 | 127,349 | 141,952
Professional services | Corporate |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 0 | 0 | 0 | 0
Professional services | Enterprise Software |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 55,256 | 50,653 | 106,755 | 101,820
Professional services | Platform Technologies |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 11,164 | 21,284 | 20,594 | 40,132
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 | 66,420 | 71,937 | 127,349 | 141,952
Software licenses and royalties |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 9,779 | 15,009 | 19,909 | 31,515
Software licenses and royalties | Corporate |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 0 | 0 | 0 | 0
Software licenses and royalties | Enterprise Software |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 9,479 | 14,623 | 17,547 | 30,728
Software licenses and royalties | Platform Technologies |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 300 | 386 | 2,362 | 787
Software licenses and royalties | Products and services transferred at a point in time |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 8,793 | 12,683 | 18,074 | 26,752
Software licenses and royalties | Products and services transferred over time |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 986 | 2,326 | 1,835 | 4,763
Hardware and other |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 13,752 | 9,108 | 18,951 | 16,222
Hardware and other | Corporate |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 7,371 | 3,610 | 7,371 | 3,610
Hardware and other | Enterprise Software |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 6,381 | 5,498 | 11,580 | 12,612
Hardware and other | Platform Technologies |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 0 | 0 | 0 | 0
Hardware and other | Products and services transferred at a point in time |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | 13,752 | 9,108 | 18,951 | 16,222
Hardware and other | Products and services transferred over time |  |  |  |
Disaggregation of Revenue |  |  |  |
Total revenues | $ 0 | $ 0 | $ 0 | $ 0

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