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Business Combinations - Fair Values of Assets Acquired and Liabilities Assumed (Details) - USD ($)
$ in Millions
 6 Months Ended 9 Months Ended 12 Months Ended
Apr. 01, 2022
Sep. 30, 2022
Sep. 30, 2022
Sep. 30, 2021
Dec. 31, 2021
Business Acquisition [Line Items]          
Goodwill   $ 1,696.3 $ 1,696.3   $ 1,575.1 [1]
Measurement period adjustments, goodwill     (1.8)    
Cash paid for acquisitions, net of cash acquired     143.7 $ 717.5  
2022 Business Acquisitions          
Business Acquisition [Line Items]          
Cash and cash equivalents   14.8 14.8    
Accounts receivable   2.3 2.3    
Prepaid expenses and other assets   0.3 0.3    
Intangible assets   34.8 34.8    
Accounts payable and other liabilities   (1.3) (1.3)    
Unearned revenue   (6.8) (6.8)    
Deferred tax liabilities   (6.5) (6.5)    
Total identifiable net assets acquired   37.6 37.6    
Goodwill   123.0 123.0    
Total consideration   160.6 160.6    
Cash Acquired   (14.8)      
Deferred tax liabilities   6.5 6.5    
Cash paid for acquisitions, net of cash acquired   145.8      
Cash paid (received) for acquisitions   143.7 (2.1)    
2022 Business Acquisitions | Preliminary Fair Value at Acquisition Date          
Business Acquisition [Line Items]          
Cash and cash equivalents $ 14.8        
Accounts receivable 2.3        
Prepaid expenses and other assets 0.3        
Intangible assets 34.8        
Accounts payable and other liabilities (0.9)        
Unearned revenue (6.8)        
Deferred tax liabilities (6.5)        
Total identifiable net assets acquired 38.0        
Goodwill 122.5        
Total consideration 160.5        
Cash Acquired (14.8)        
Deferred tax liabilities 6.5        
Cash paid for acquisitions, net of cash acquired $ 145.7        
2022 Business Acquisitions | Measurement Period Adjustments          
Business Acquisition [Line Items]          
Measurement period adjustments, accounts receivables   0.0      
Measurement period adjustments, intangible assets, Prepaid expenses and other assets   0.0      
Measurement period adjustments, intangible assets   0.0      
Measurement period adjustments, accounts payable and other liabilities   (0.4)      
Measurement period adjustments, total identifiable net assets acquired   (0.4)      
Measurement period adjustments, goodwill   0.5      
Measurement period consideration, total purchase consideration   0.1      
Cash Acquired   0.0      
Cash paid for acquisitions, net of cash acquired   0.1      
2021 Business Acquisitions          
Business Acquisition [Line Items]          
Cash and cash equivalents   13.9 13.9    
Accounts receivable   4.2 4.2    
Prepaid expenses and other assets   2.7 2.7    
Intangible assets   120.9 120.9    
Accounts payable and other liabilities   (4.6) (4.6)    
Unearned revenue   (10.2) (10.2)    
Deferred tax liabilities   (2.7) (2.7)    
Total identifiable net assets acquired   124.2 124.2    
Goodwill   573.2 573.2    
Total consideration   697.4 697.4    
Cash refund from Chorus.ai acquisition     0.0    
Deferred consideration     (2.2)    
Cash Acquired     (13.9)    
Adjustments to working capital balances   0.1 0.1    
Deferred tax liabilities   2.7 2.7    
Accruals from adjustments to tax liabilities   0.4 0.4    
Cash paid for acquisitions, net of cash acquired     681.8    
Cash paid (received) for acquisitions   $ (2.1) 683.9    
2021 Business Acquisitions | Preliminary Fair Value at Acquisition Date          
Business Acquisition [Line Items]          
Cash and cash equivalents         13.9
Accounts receivable         4.3
Prepaid expenses and other assets         2.8
Intangible assets         120.7
Accounts payable and other liabilities         (4.1)
Unearned revenue         (10.2)
Deferred tax liabilities         (2.7)
Total identifiable net assets acquired         124.7
Goodwill         575.2
Total consideration         699.9
Cash refund from Chorus.ai acquisition         33.9
Deferred consideration         (2.2)
Cash Acquired         (13.9)
Adjustments to working capital balances         (0.5)
Deferred tax liabilities         2.7
Accruals from adjustments to tax liabilities         0.0
Cash paid for acquisitions, net of cash acquired         $ 717.2
2021 Business Acquisitions | Measurement Period Adjustments          
Business Acquisition [Line Items]          
Measurement period adjustments, accounts receivables     (0.1)    
Measurement period adjustments, intangible assets, Prepaid expenses and other assets     (0.1)    
Measurement period adjustments, intangible assets     0.2    
Measurement period adjustments, accounts payable and other liabilities     (0.5)    
Measurement period adjustments, total identifiable net assets acquired     (0.5)    
Measurement period adjustments, goodwill     (2.0)    
Measurement period consideration, total purchase consideration     (2.5)    
Measurement period consideration, total purchase consideration, cash refund from Chorus.ai acquisition     (33.9)    
Measurement period consideration, total purchase consideration, accruals from adjustments to working capital balances     0.6    
Measurement period consideration, total purchase consideration, accruals from adjustments to tax liabilities     0.4    
Measurement period consideration, total purchase consideration, cash paid for acquisitions, net of cash acquired     $ (35.4)    
[1] The Condensed Consolidated Balance Sheet as of December 31, 2021 has been derived from the audited consolidated financial statements at that date but does not include all of the information and footnotes required by generally accepted accounting principles for complete financial statements.