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Revenue Statement of Cash Flows (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2019
Sep. 30, 2019
Jun. 30, 2019
Mar. 31, 2019
Dec. 31, 2018
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]                        
NET INCOME $ 342.2 $ 168.4 $ 172.8 $ (9.5) $ 342.5 $ 163.5 $ 147.8 $ (16.1) $ 673.9 $ 637.7 $ 570.4  
Adjustments to reconcile net income to net cash provided by operating activities:                        
Depreciation and amortization                 278.5 202.9 157.1  
Provision for uncollectible receivables                 10.1 6.5 9.5  
Amortization of restricted stock and other non-cash compensation                 80.2 82.2 82.0  
Net amortization of bond discounts and deferred financing costs                 9.3 6.5 5.8  
Deferred income tax provision                 9.7 14.1 (9.5)  
Net losses on sales of businesses (23.9) $ (7.7) $ (3.2) $ (8.6) (11.9) $ (5.8) $ (19.8) $ (24.4) 43.4 61.9 24.1  
Other                 9.9 1.2 12.7  
Net Cash Provided by (Used in) Investing Activities [Abstract]                        
Accounts receivable                 (111.2) (603.8) 37.6  
Accounts receivable, billable to clients                 (38.7) (209.5) (165.5)  
Other current assets                 (27.2) (67.2) 50.1  
Accounts payable                 546.0 428.7 336.4  
Accrued liabilities                 27.4 (24.2) (241.3)  
Contract liabilities                 46.5 44.9 (12.0)  
Other non-current assets and liabilities                 (29.3) (16.8) 24.4  
Net cash provided by operating activities                 1,529.2 565.1 881.8  
Net cash used in investing activities                 (161.7) (2,491.5) (196.2)  
Net cash (used in) provided by financing activities                 (843.0) 1,853.2 (1,004.9)  
Effect of foreign exchange rate changes on cash, cash equivalents and restricted cash                 (6.0) (47.3) 16.8  
Net increase (decrease) in cash, cash equivalents and restricted cash                 518.5 (120.5) (302.5)  
Cash, Cash Equivalents, Restricted Cash and Restricted Cash Equivalents $ 1,195.7       $ 677.2       $ 1,195.7 $ 677.2 $ 797.7 $ 1,100.2