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Acquisitions Acquisition Costs, by Acquisition (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Oct. 17, 2019
Jan. 25, 2019
Apr. 02, 2018
Dec. 31, 2019
Sep. 30, 2019
Jun. 30, 2019
Mar. 31, 2019
Dec. 31, 2018
Sep. 30, 2018
Jun. 30, 2018
[1]
Mar. 31, 2018
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Business Acquisition [Line Items]                            
Goodwill       $ 1,486.9       $ 1,421.1       $ 1,486.9 $ 1,421.1  
Goodwill, Acquired During Period                         528.2  
Revenues       $ 1,025.2 $ 1,002.7 $ 972.3 $ 923.7 $ 929.7 $ 906.4 $ 878.5 $ 685.2 3,923.9 3,399.8 $ 2,626.0
Intersys                            
Business Acquisition [Line Items]                            
Business Acquisition, Effective Date of Acquisition Oct. 17, 2019                          
Business Acquisition, Name of Acquired Entity Intersys Consulting, LLC                          
Payments to Acquire Businesses, Gross $ 67.0                          
Business Acquisition, Description of Acquired Entity headquartered in Austin, Texas                          
Business Combination, Reason for Business Combination The acquisition expands the Company's capabilities in digital innovation and enterprise solutions                          
Goodwill, Acquired During Period $ 41.4                     41.4    
Business Acquisition, Goodwill, Expected Tax Deductible Amount 38.7                          
Identifiable intangible assets $ 23.8                          
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life 9 years                          
DHA                            
Business Acquisition [Line Items]                            
Business Acquisition, Effective Date of Acquisition   Jan. 25, 2019                        
Business Acquisition, Name of Acquired Entity   DHA Group, Inc                        
Payments to Acquire Businesses, Gross   $ 46.0                        
Business Acquisition, Description of Acquired Entity   headquartered in Washington, D.C.                        
Business Combination, Reason for Business Combination   DHA was acquired to expand the Company's government services                        
Goodwill, Acquired During Period   $ 24.7                   24.7    
Identifiable intangible assets   $ 19.0                        
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life   9 years                        
Apex                            
Business Acquisition [Line Items]                            
Revenues                       2,520.0 2,300.3 2,037.2
Apex | Intersys                            
Business Acquisition [Line Items]                            
Goodwill, Acquired During Period                       41.4    
ECS                            
Business Acquisition [Line Items]                            
Business Acquisition, Effective Date of Acquisition     Apr. 02, 2018                      
Business Acquisition, Name of Acquired Entity     ECS Federal, LLC                      
Payments to Acquire Businesses, Gross     $ 775.0                      
Business Acquisition, Transaction Costs     $ 12.0                      
Business Acquisition, Description of Acquired Entity     headquartered in Fairfax, Virginia                      
Business Combination, Reason for Business Combination     The ECS acquisition allows the Company to compete in the federal IT and professional services sector                      
Goodwill     $ 528.2                      
Revenues                       798.2 493.0 0.0
Business Combination, Pro Forma Information, Revenue of Acquiree since Acquisition Date, Actual                       798.2 493.0 $ 0.0
Business Combination, Pro Forma Information, Earnings or Loss of Acquiree since Acquisition Date, Actual                         $ 14.2  
Business Acquisition, Goodwill, Expected Tax Deductible Amount     514.2                      
Identifiable intangible assets     $ 195.0                      
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life     11 years                      
ECS | DHA                            
Business Acquisition [Line Items]                            
Goodwill, Acquired During Period                       $ 24.7    
[1] ECS was acquired on April 2, 2018, see Note 4 – Acquisitions.