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Company Overview, Basis of Presentation, and Summary of Significant Accounting Policies - Narrative (Details)
 3 Months Ended 9 Months Ended
Feb. 29, 2024
USD ($)
Sep. 30, 2023
USD ($)
Mar. 31, 2023
USD ($)
Jan. 01, 2023
USD ($)
segment
Sep. 30, 2024
USD ($)
$ / shares
Sep. 30, 2023
USD ($)
Mar. 31, 2023
USD ($)
Sep. 30, 2024
USD ($)
$ / shares
Sep. 30, 2023
USD ($)
Apr. 16, 2024
USD ($)
Apr. 02, 2024
USD ($)
Mar. 12, 2024
USD ($)
Dec. 31, 2023
USD ($)
Feb. 09, 2021
USD ($)
Dec. 01, 2020
USD ($)
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                              
Principal balance         $ 2,454,500,000     $ 2,454,500,000         $ 2,892,500,000    
Cash and cash equivalents   $ 277,800,000     157,100,000 $ 277,800,000   157,100,000 $ 277,800,000       $ 196,800,000    
Depreciation reduction         $ (34,300,000) (50,400,000)   $ (106,000,000.0) (160,900,000)            
Period increase (in dollar per share) | $ / shares         $ 0.05     $ 0.15              
Number of business units | segment       2                      
Impairment of goodwill         $ 141,700,000 165,700,000   $ 714,900,000 708,800,000            
Trade name (indefinite-lived)                              
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                              
Impairment charge $ 20,000,000 57,000,000       57,000,000   20,000,000 57,000,000            
Private Cloud                              
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                              
Depreciation reduction         (28,600,000) (42,200,000)   (85,600,000) (131,000,000.0)            
Impairment of goodwill 187,800,000 $ 165,700,000 $ 272,300,000 $ 270,800,000 72,500,000   $ 270,800,000 260,300,000              
Public Cloud                              
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                              
Depreciation reduction         (1,800,000) $ (2,400,000)   (5,300,000) $ (7,000,000.0)            
Impairment of goodwill $ 385,400,000       69,200,000     454,600,000              
Computers and equipment | Change in Accounting Method Accounted for as Change in Estimate                              
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                              
Depreciation reduction         $ 11,500,000     $ 36,300,000              
Minimum | Computers and equipment                              
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                              
Useful life 3 years       5 years     5 years              
Maximum | Computers and equipment                              
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                              
Useful life 5 years       7 years     7 years              
3.50% FLSO Senior Secured Notes | Senior notes                              
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                              
Aggregate principal amount                   $ 96,900,000   $ 267,300,000      
Interest rate         3.50%     3.50%       3.50%   3.50%  
Principal balance         $ 318,600,000     $ 318,600,000   $ 3,600,000 $ 93,300,000        
FLSO Term Loan Facility | Senior notes                              
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                              
Interest rate                       3.50%      
5.375% Senior Notes | Senior notes                              
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                              
Aggregate principal amount                             $ 550,000,000.0
Interest rate         5.375%     5.375%         5.375%   5.375%
Principal balance         $ 125,400,000     $ 125,400,000         $ 197,600,000    
3.50% Senior Secured Notes | Senior notes                              
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                              
Aggregate principal amount                           $ 550,000,000.0  
Interest rate         3.50%     3.50%       3.50% 3.50% 3.50%  
Principal balance         $ 43,900,000     $ 43,900,000         $ 513,700,000    
Term loan facility | Term Loan Facility | Line of credit                              
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                              
Aggregate principal amount         2,454,500,000     2,454,500,000              
Revolving Credit Facility | Line of credit                              
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                              
Maximum borrowing capacity         375,000,000.0     375,000,000.0              
Principal balance         $ 0     $ 0