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Segment Reporting - Reconciliation of Revenue and Gross Profits from Segments to Consolidated (Details) - USD ($)
$ in Millions
1 Months Ended 3 Months Ended
Jan. 01, 2023
Mar. 31, 2023
Mar. 31, 2023
Mar. 31, 2022
Segment Reporting, Revenue Reconciling Item [Line Items]        
Revenue     $ 758.7 $ 775.5
Income (loss) from operations     (581.0) 20.9
Gross profit     169.6 226.0
Share-based compensation expense     (15.2) (17.0)
Amortization of intangible assets     (40.9) (42.2)
Impairment of goodwill     (543.1) 0.0
Interest expense     (56.9) (50.1)
Gain (loss) on investments, net     0.1 (0.1)
Gain on debt extinguishment     12.8 0.0
Other income (expense), net     2.1 (3.6)
Total consolidated loss before income taxes     (622.9) (32.9)
Employee Severance | July 2021 Restructuring Plan        
Segment Reporting, Revenue Reconciling Item [Line Items]        
Restructuring reserve       3.2
Operating Segments        
Segment Reporting, Revenue Reconciling Item [Line Items]        
Income (loss) from operations     117.4 171.3
Corporate And Reconciling Items        
Segment Reporting, Revenue Reconciling Item [Line Items]        
Income (loss) from operations     66.9 59.2
Share-based compensation expense     (15.2) (17.0)
Special bonuses and other compensation expense     (2.2) (3.4)
Transaction-related adjustments, net     (1.3) (5.3)
Restructuring and transformation expenses     (25.6) (23.3)
Hosted Exchange incident expenses     (3.2) 0.0
Public Cloud        
Segment Reporting, Revenue Reconciling Item [Line Items]        
Revenue     444.6 417.0
Impairment of goodwill     0.0  
Public Cloud | Operating Segments        
Segment Reporting, Revenue Reconciling Item [Line Items]        
Income (loss) from operations     24.5 34.5
Private Cloud        
Segment Reporting, Revenue Reconciling Item [Line Items]        
Revenue     314.1 358.5
Impairment of goodwill $ (270.8) $ (272.3) (543.1)  
Private Cloud | Operating Segments        
Segment Reporting, Revenue Reconciling Item [Line Items]        
Income (loss) from operations     $ 92.9 $ 136.8