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Stock Based Compensation - Schedule of Stock-Based Compensation Expense Recognized (Detail) - USD ($) $ in Millions | 3 Months Ended
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Mar. 31, 2024 | Mar. 31, 2023
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |
Total stock-based compensation expense | $ 45.1 | $ 41.9
Software-enabled Services [Member] |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |
Total stock-based compensation expense | 15.4 | 15.5
License, Maintenance and Other Related [Member] |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |
Total stock-based compensation expense | 1.6 | 1.8
Total Cost of Revenues [Member] |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |
Total stock-based compensation expense | 17.0 | 17.3
Selling and Marketing [Member] |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |
Total stock-based compensation expense | 7.7 | 7.9
Research and Development [Member] |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |
Total stock-based compensation expense | 6.2 | 5.4
General and Administrative [Member] |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |
Total stock-based compensation expense | 14.2 | 11.3
Total Operating Expenses [Member] |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |
Total stock-based compensation expense | $ 28.1 | $ 24.6

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- Definition Amount of expense for award under share-based payment arrangement. Excludes amount capitalized. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (SAB Topic 14.F) -Publisher FASB -URI https://asc.fasb.org//1943274/2147479830/718-10-S99-1 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (h)(1)(i) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480429/718-10-50-2 + Details
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