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Segment Information (Details)
$ in Millions
3 Months Ended 9 Months Ended
Sep. 30, 2023
USD ($)
Jun. 30, 2023
USD ($)
Mar. 31, 2023
USD ($)
Sep. 30, 2022
USD ($)
Jun. 30, 2022
USD ($)
Mar. 31, 2022
USD ($)
Sep. 30, 2023
USD ($)
segment
Sep. 30, 2022
USD ($)
Segment Reporting [Abstract]                
Number of reportable segments | segment             2  
Number of operating segments | segment             2  
Segment Reporting Information [Line Items]                
Revenue $ 1,069.7     $ 1,033.2     $ 3,153.8 $ 3,051.4
Unallocated corporate overhead (66.9)     (75.0)     (207.7) (219.1)
Depreciation and amortization (40.6)     (48.5)     (132.6) (145.1)
Equity-based compensation expense (76.2)     (65.4)     (225.3) (193.3)
Interest expense (39.8)     (32.1)     (115.2) (98.9)
Acquisition-related expenses 1.0     (8.9)     (8.7) (27.2)
Restructuring and other (12.5)     (10.6)     (72.2) (21.9)
Income before income taxes 127.9     97.2     256.3 260.6
Benefit (provision) for income taxes 3.1     2.8     5.2 (1.5)
Net income 131.0 $ 83.1 $ 47.4 100.0 $ 90.5 $ 68.6 261.5 259.1
Adjustment to previously recognized acquisition                
Segment Reporting Information [Line Items]                
Acquisition-related expenses 6.0           6.0  
Restructuring Plan | Equity Based Compensation Expense                
Segment Reporting Information [Line Items]                
Restructuring and other             (2.3)  
Operating Segments                
Segment Reporting Information [Line Items]                
Revenue 1,069.7     1,033.2     3,153.8 3,051.4
Total Segment EBITDA 362.9     337.7     1,018.0 966.1
Applications & commerce                
Segment Reporting Information [Line Items]                
Revenue 363.3     326.0     1,053.0 946.3
Applications & commerce | Operating Segments                
Segment Reporting Information [Line Items]                
Revenue 363.3     326.0     1,053.0 946.3
Total Segment EBITDA 154.3     135.6     429.4 387.2
Core platform                
Segment Reporting Information [Line Items]                
Revenue 706.4     707.2     2,100.8 2,105.1
Core platform | Operating Segments                
Segment Reporting Information [Line Items]                
Revenue 706.4     707.2     2,100.8 2,105.1
Total Segment EBITDA $ 208.6     $ 202.1     $ 588.6 $ 578.9