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Acquisitions Business Combinations Additional Information (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
 9 Months Ended
Jan. 25, 2019
Apr. 02, 2018
Sep. 30, 2019
Sep. 30, 2018
Dec. 31, 2018
Business Acquisition [Line Items]          
Cash paid for acquisitions, net of cash acquired     $ 48.5 $ 760.3  
Goodwill     1,444.7   $ 1,421.1
Goodwill, Acquired During Period     $ 24.7 528.2  
DHA          
Business Acquisition [Line Items]          
Business Acquisition, Effective Date of Acquisition Jan. 25, 2019        
Business Acquisition, Name of Acquired Entity DHA Group, Inc.        
Business Acquisition, Description of Acquired Entity headquartered in Washington, D.C.        
Working capital excess of target working capital $ 2.5        
Goodwill 24.7        
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Indefinite-Lived Intangible Assets $ 19.0        
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, 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      
Business Acquisition, Goodwill, Expected Tax Deductible Amount   514.2      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Indefinite-Lived Intangible Assets   $ 195.0      
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life   11 years      
Business Acquisition, Pro Forma Revenue       2,619.2  
Business Acquisition, Pro Forma Income (Loss) from Continuing Operations, Net of Tax       123.7  
Business Acquisition, Pro Forma Net Income (Loss)       $ 123.4  
Business Acquisition, Pro Forma Income (Loss) from Continuing Operations, Net of Tax, Per Share, Basic       $ 2.36  
Business Acquisition, Pro Forma Income (Loss) from Continuing Operations, Net of Tax, Per Share, Diluted       $ 2.32  
Weighted Average Basic Shares Outstanding, Pro Forma       52.3  
Pro Forma Weighted Average Shares Outstanding, Diluted       53.1