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Stock-based Compensation - Schedule of Stock-Based Compensation Expense Recognized (Detail) - USD ($)
$ in Millions
 12 Months Ended
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