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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 9 Months Ended
Feb. 29, 2024
Sep. 30, 2023
Mar. 31, 2023
Jan. 01, 2023
Mar. 31, 2024
Sep. 30, 2024
Sep. 30, 2023
Mar. 31, 2023
Sep. 30, 2024
Sep. 30, 2023
Segment Reporting, Revenue Reconciling Item [Line Items]                    
Revenue           $ 675.8 $ 732.4   $ 2,051.5 $ 2,237.4
Loss from operations           (173.7) (239.4)   (880.3) (884.2)
Share-based compensation expense           (15.5) (17.2)   (47.8) (51.9)
Amortization of intangible assets           (38.7) (39.7)   (116.0) (121.6)
Impairment of goodwill           (141.7) (165.7)   (714.9) (708.8)
UK office closure           0.0 0.0   0.0 (12.1)
Impairment of assets, net           0.0 (48.4)   (20.0) (48.4)
Interest expense           (18.0) (56.5)   (80.1) (170.7)
Gain on investments, net           0.1 0.0   0.2 0.2
Debt modification costs and gain on debt extinguishment           18.0 55.4   147.2 163.1
Other expense, net           (1.0) (2.6)   (11.8) (0.3)
Total consolidated loss before income taxes           (174.6) (243.1)   (824.8) (891.9)
Operating Segments                    
Segment Reporting, Revenue Reconciling Item [Line Items]                    
Loss from operations           90.9 106.5   253.4 327.7
Corporate And Reconciling Items                    
Segment Reporting, Revenue Reconciling Item [Line Items]                    
Loss from operations           56.6 61.0   180.1 192.7
Share-based compensation expense           (15.5) (17.2)   (47.8) (51.9)
Special bonuses and other compensation expense           (2.7) (3.3)   (9.1) (9.7)
Transaction-related adjustments, net           (1.8) (1.6)   (4.4) (4.1)
Restructuring and transformation expenses           (8.8) (14.3)   (42.5) (63.0)
Hosted Exchange incident expenses, net of proceeds received or expected to be received under our insurance coverage           1.2 5.3   1.1 0.4
UK office closure         $ (9.0)          
Public Cloud                    
Segment Reporting, Revenue Reconciling Item [Line Items]                    
Revenue           418.3 431.5   1,265.6 1,308.7
Impairment of goodwill $ (385.4)         (69.2)     (454.6)  
Public Cloud | Operating Segments                    
Segment Reporting, Revenue Reconciling Item [Line Items]                    
Loss from operations           16.4 20.3   37.5 59.5
Private Cloud                    
Segment Reporting, Revenue Reconciling Item [Line Items]                    
Revenue           257.5 300.9   785.9 928.7
Impairment of goodwill $ (187.8) $ (165.7) $ (272.3) $ (270.8)   (72.5)   $ (270.8) (260.3)  
Private Cloud | Operating Segments                    
Segment Reporting, Revenue Reconciling Item [Line Items]                    
Loss from operations           $ 74.5 $ 86.2   $ 215.9 $ 268.2