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Company Overview, Basis of Presentation, and Summary of Significant Accounting Policies - Narrative (Details)
1 Months Ended 3 Months Ended
Jan. 01, 2023
USD ($)
segment
Mar. 31, 2023
USD ($)
Mar. 31, 2023
USD ($)
reportingUnit
Dec. 31, 2022
USD ($)
Mar. 31, 2022
USD ($)
Apr. 26, 2023
Feb. 09, 2021
USD ($)
Dec. 01, 2020
USD ($)
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                
Number of business units | segment 2              
Number of reportable segments | segment 2              
Number of operating segments | segment 2              
Number of reporting units | reportingUnit     2          
Cash and cash equivalents   $ 174,300,000 $ 174,300,000 $ 228,400,000 $ 269,100,000      
Impairment of goodwill     543,100,000   $ 0      
Line of credit | Term loan facility | Term Loan Facility                
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                
Aggregate principal amount   $ 3,331,300,000 $ 3,331,300,000          
Line of credit | Term loan facility | LIBOR | Subsequent event | Term Loan Facility                
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                
Debt instrument, floor rate           0.75%    
Line of credit | Term loan facility | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate | Subsequent event | Term Loan Facility                
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                
Debt instrument, floor rate           0.75%    
Senior notes | 5.375% Senior Notes                
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                
Aggregate principal amount               $ 550,000,000
Interest rate   5.375% 5.375% 5.375%       5.375%
Senior notes | 3.50% Senior Secured Notes                
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                
Aggregate principal amount             $ 550,000,000  
Interest rate   3.50% 3.50% 3.50%     3.50%  
Apps & Cross Platform                
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                
Impairment of goodwill     $ 0 $ 129,300,000        
Private Cloud                
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                
Impairment of goodwill $ 270,800,000 $ 272,300,000 543,100,000          
Public Cloud                
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                
Impairment of goodwill     $ 0          
Percent of fair value exceeding carrying value   14.00% 14.00%