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Acquisitions and Dispositions - Acquired Entities (Details) - USD ($)
9 Months Ended 12 Months Ended
Apr. 01, 2021
Sep. 30, 2021
Sep. 30, 2020
Dec. 31, 2020
Dec. 31, 2019
Mar. 09, 2020
Business Acquisition [Line Items]            
G4S intercompany payments   $ 50,600,000 $ (134,200,000)      
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]            
Restricted cash   321,700,000   $ 322,000,000.0    
Right-of-use assets, net   304,100,000   322,000,000.0    
Goodwill   1,426,600,000   1,219,200,000    
Fair value of noncontrolling interest   $ (116,400,000)        
PAI            
Business Acquisition [Line Items]            
Acquisition date Apr. 01, 2021          
Percentage of shares acquired 100.00%          
Annual revenues       $ 95,000,000    
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]            
Purchase consideration - cash paid $ 215,500,000          
Fair value of purchase consideration 215,500,000          
Cash 12,300,000          
Accounts receivable 7,300,000          
Other current assets 5,100,000          
Property and equipment, net 15,000,000.0          
Intangible assets 95,000,000.0          
Goodwill 127,400,000          
Other noncurrent assets 4,500,000          
Current liabilities (41,200,000)          
Noncurrent liabilities (9,900,000)          
Fair value of net assets acquired 215,500,000          
G4Si            
Business Acquisition [Line Items]            
Percentage of shares acquired           100.00%
G4S            
Business Acquisition [Line Items]            
Percentage of shares acquired   100.00%        
G4S intercompany payments   $ 114,000,000        
Annual revenues         $ 800,000,000  
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]            
Purchase consideration - cash paid   817,400,000        
Contingent consideration   22,000,000.0        
Liabilities assumed from seller   2,900,000        
Indemnification asset   (5,200,000)        
Fair value of purchase consideration   837,100,000        
Cash   244,400,000        
Restricted cash   30,100,000        
Accounts receivable   145,800,000        
Other current assets   30,800,000        
Property and equipment, net   123,800,000        
Right-of-use assets, net   77,500,000        
Intangible assets   206,000,000.0        
Goodwill   535,900,000        
Other noncurrent assets   16,200,000        
Current liabilities   (296,200,000)        
Lease liabilities   (68,100,000)        
Noncurrent liabilities   (92,700,000)        
Fair value of net assets acquired   $ 953,500,000        
G4S Tranche III            
Business Acquisition [Line Items]            
Percentage of shares acquired   100.00%        
Customer relationships | PAI            
Business Acquisition [Line Items]            
Remaining Amortization Period   10 years        
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]            
Intangible assets 60,000,000          
Customer relationships | G4S            
Business Acquisition [Line Items]            
Remaining Amortization Period   15 years        
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]            
Intangible assets   $ 206,000,000        
Developed technology | PAI            
Business Acquisition [Line Items]            
Remaining Amortization Period   12 years        
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]            
Intangible assets 26,000,000          
Trade names | PAI            
Business Acquisition [Line Items]            
Remaining Amortization Period   5 years        
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]            
Intangible assets $ 9,000,000          
North America | PAI            
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]            
Goodwill   $ 2,000,000        
Europe | G4S            
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]            
Goodwill   191,000,000        
Rest of World | G4S            
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]            
Goodwill   342,000,000        
Latin America | G4S            
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]            
Goodwill   $ 3,000,000