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Stock Based Compensation - Schedule of Stock-Based Compensation Expense Recognized (Detail) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2024
Sep. 30, 2023
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Total stock-based compensation expense $ 52.2 $ 42.1 $ 147.9 $ 117.5
Software-enabled Services [Member]        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Total stock-based compensation expense 18.2 14.5 51.3 42.9
License, Maintenance and Other Related [Member]        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Total stock-based compensation expense 2.1 1.8 5.9 5.1
Total Cost of Revenues [Member]        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Total stock-based compensation expense 20.3 16.3 57.2 48.0
Selling and Marketing [Member]        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Total stock-based compensation expense 9.0 7.3 26.0 21.8
Research and Development [Member]        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Total stock-based compensation expense 7.6 5.8 21.6 15.8
General and Administrative [Member]        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Total stock-based compensation expense 15.3 12.7 43.1 31.9
Total Operating Expenses [Member]        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Total stock-based compensation expense $ 31.9 $ 25.8 $ 90.7 $ 69.5