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Quarterly Data (Unaudited) (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2018
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2017
Sep. 30, 2017
Jun. 30, 2017
Mar. 31, 2017
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Quarterly Financial Information Disclosure [Abstract]                      
Revenues from services $ 5,393.2 $ 5,418.7 $ 5,656.9 $ 5,522.4 $ 5,637.5 $ 5,464.8 $ 5,174.8 $ 4,757.2 $ 21,991.2 $ 21,034.3 $ 19,654.1
Gross profit 880.3 890.6 922.7 885.4 934.5 900.6 861.7 787.8 3,579.0 3,484.6 3,333.8
Operating profit 217.9 216.7 208.3 153.8 237.4 228.7 195.2 127.9 796.7 789.2 745.5
Net earnings $ 158.3 $ 158.0 $ 143.4 $ 97.0 $ 216.3 $ 137.7 $ 117.0 $ 74.4 $ 556.7 $ 545.4 $ 443.7
Net earnings per share - basic (in dollars per share) $ 2.56 $ 2.45 $ 2.18 $ 1.46 $ 3.26 $ 2.06 $ 1.74 $ 1.10 $ 8.62 $ 8.13 $ 6.33
Net earnings per share - diluted (in dollars per share) 2.54 2.43 2.17 1.45 3.22 2.04 1.72 1.09 8.56 8.04 6.27
Dividends per share (in dollars per share) $ 1.01 $ 0 $ 1.01 $ 0 $ 0.93 $ 0 $ 0.93 $ 0 $ 2.02 $ 1.86 $ 1.72
Restructuring costs     $ 15.3 $ 24.0     $ 10.5 $ 24.0      
Restructuring costs per diluted share (in dollars per share)     $ (0.18) $ (0.27)     $ (0.10) $ (0.30)      
Net tax expense (benefits) related to the Tax Act and French tax reform         $ (73.7)       $ 3.2 $ (73.7) $ 0.0
Net tax benefits per diluted share (in dollars per share)         $ 1.10