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Stock-based Compensation - Schedule of Stock-Based Compensation Expense Recognized (Detail) - USD ($) $ in Millions | 12 Months Ended
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Dec. 31, 2025 | Dec. 31, 2024 | Dec. 31, 2023
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Total stock-based compensation expense | $ 257.7 | $ 203.3 | $ 159.4
Stock Options, (SARs) [Member] |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Total stock-based compensation expense | 48.8 | 84.3 | 100.6
RSUs and PSUs [Member] |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Total stock-based compensation expense | 208.9 | 119.0 | 58.8
Total Cost of Revenues |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Total stock-based compensation expense | 94.3 | 78.9 | 63.8
Total Cost of Revenues | Cost of software-enabled services |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Total stock-based compensation expense | 85.6 | 70.9 | 57.0
Total Cost of Revenues | Cost of license, maintenance and other related |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Total stock-based compensation expense | 8.7 | 8.0 | 6.8
Total Cost of Revenues | Stock Options, (SARs) [Member] |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Total stock-based compensation expense | 15.6 | 31.0 | 38.9
Total Cost of Revenues | Stock Options, (SARs) [Member] | Cost of software-enabled services |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Total stock-based compensation expense | 14.1 | 27.8 | 34.4
Total Cost of Revenues | Stock Options, (SARs) [Member] | Cost of license, maintenance and other related |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Total stock-based compensation expense | 1.5 | 3.2 | 4.5
Total Cost of Revenues | RSUs and PSUs [Member] |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Total stock-based compensation expense | 78.7 | 47.9 | 24.9
Total Cost of Revenues | RSUs and PSUs [Member] | Cost of software-enabled services |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Total stock-based compensation expense | 71.5 | 43.1 | 22.6
Total Cost of Revenues | RSUs and PSUs [Member] | Cost of license, maintenance and other related |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Total stock-based compensation expense | 7.2 | 4.8 | 2.3
Selling and Marketing |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Total stock-based compensation expense | 58.1 | 35.4 | 29.0
Selling and Marketing | Stock Options, (SARs) [Member] |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Total stock-based compensation expense | 14.4 | 17.1 | 19.7
Selling and Marketing | RSUs and PSUs [Member] |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Total stock-based compensation expense | 43.7 | 18.3 | 9.3
Research and Development |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Total stock-based compensation expense | 42.5 | 29.8 | 21.4
Research and Development | Stock Options, (SARs) [Member] |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Total stock-based compensation expense | 7.3 | 12.2 | 13.9
Research and Development | RSUs and PSUs [Member] |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Total stock-based compensation expense | 35.2 | 17.6 | 7.5
General and Administrative |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Total stock-based compensation expense | 62.8 | 59.2 | 45.2
General and Administrative | Stock Options, (SARs) [Member] |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Total stock-based compensation expense | 11.5 |  | 28.1
General and Administrative | RSUs and PSUs [Member] |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Total stock-based compensation expense | 51.3 | 35.2 | 17.1
Total Operating Expenses |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Total stock-based compensation expense | 163.4 | 124.4 | 95.6
Total Operating Expenses | Stock Options, (SARs) [Member] |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Total stock-based compensation expense | 33.2 | 53.3 | 61.7
Total Operating Expenses | RSUs and PSUs [Member] |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Total stock-based compensation expense | $ 130.2 | $ 71.1 | $ 33.9

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