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Quarterly Results of Operations (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
Segment Reporting Information [Line Items]                      
Effective Income Tax Rate Reconciliation, Repatriation of Foreign Earnings, Amount                 $ 47.0 $ 125.9 $ 0.0
Revenues $ 4,889.7 $ 3,969.8 $ 3,903.7 $ 3,555.2 $ 4,343.0 $ 3,522.2 $ 3,470.3 $ 3,117.7 16,318.4 14,453.2 12,991.2
Total operating expenses 4,577.3 3,778.9 3,753.9 3,501.4 4,081.1 3,384.4 3,339.5 3,102.3 15,611.5 13,907.3 12,535.5
Restructuring and acquisition charges (45.5) (3.7) (11.1) (0.7) (17.4) (3.4) (5.4) (4.5) (38.8) (30.7) (68.5)
Total Operating income 312.4 190.9 149.8 53.8 261.9 137.8 130.8 15.4 706.9 545.9 455.7
Net Income available to common stockholders $ 201.1 $ 134.9 $ 107.8 $ 40.3 $ 76.2 $ 98.3 $ 94.3 $ 7.2 $ 484.1 $ 276.0 $ 329.3
Earnings Per Share, Basic $ 4.41 $ 2.96 $ 2.37 $ 0.89 $ 1.68 $ 2.17 $ 2.08 $ 0.16 $ 10.64 $ 6.09 $ 7.29
Earnings Per Share, Diluted $ 4.37 $ 2.93 $ 2.35 $ 0.88 $ 1.66 $ 2.15 $ 2.06 $ 0.16 $ 10.54 $ 6.03 $ 7.23
Reportable Subsegments [Member] | EMEA [Member]                      
Segment Reporting Information [Line Items]                      
Segment Reporting Information, Revenue for Reportable Segment $ 1,059.2 $ 805.6 $ 846.6 $ 783.6 $ 1,000.6 $ 750.0 $ 721.2 $ 603.2      
Revenues                 $ 3,495.0 $ 3,075.0 $ 2,447.6
Total operating expenses 971.9 794.5 848.0 803.6 932.0 746.0 711.2 635.2      
Total Operating income                 77.0 50.6 65.7
Reportable Subsegments [Member] | Asia Pacific [Member]                      
Segment Reporting Information [Line Items]                      
Segment Reporting Information, Revenue for Reportable Segment 934.3 790.0 812.9 711.3 887.9 749.4 743.7 626.3      
Revenues                 3,248.5 3,007.3 2,618.7
Total operating expenses 865.5 768.2 789.5 712.2 821.3 725.2 722.3 621.3      
Total Operating income                 113.1 117.2 88.9
Reportable Subsegments [Member] | Americas [Member]                      
Segment Reporting Information [Line Items]                      
Segment Reporting Information, Revenue for Reportable Segment 2,745.9 2,201.6 2,152.5 1,941.0 2,362.1 1,920.6 1,932.5 1,799.9      
Revenues                 9,041.0 8,015.1 7,516.8
Total operating expenses 2,575.6 2,097.2 2,051.6 1,894.7 2,231.6 1,829.3 1,836.1 1,767.6      
Total Operating income                 421.9 350.5 286.0
LaSalle [Member]                      
Segment Reporting Information [Line Items]                      
Segment Reporting Information, Revenue for Reportable Segment 150.3 172.6 91.7 119.3 92.4 102.2 72.9 88.3      
Revenues                 533.9 355.8 408.1
Total operating expenses $ 118.8 $ 115.3 $ 75.9 $ 90.2 $ 78.8 $ 80.5 $ 64.5 $ 73.7      
Total Operating income                 133.7 58.3 $ 83.6
Quarterly Results of Operations [Member]                      
Segment Reporting Information [Line Items]                      
Total operating expenses                 15,611.5 13,907.3  
Restructuring and acquisition charges                 (38.8) (30.7)  
Total Operating income                 706.9 545.9  
Net Income available to common stockholders                 484.1 $ 276.0  
Earnings Per Share, Basic                   $ 6.09  
Earnings Per Share, Diluted                   $ 6.03  
Quarterly Results of Operations [Member] | Reportable Subsegments [Member] | EMEA [Member]                      
Segment Reporting Information [Line Items]                      
Segment Reporting Information, Revenue for Reportable Segment                 3,495.0 $ 3,075.0  
Total operating expenses                 3,418.0 3,024.4  
Quarterly Results of Operations [Member] | Reportable Subsegments [Member] | Asia Pacific [Member]                      
Segment Reporting Information [Line Items]                      
Segment Reporting Information, Revenue for Reportable Segment                 3,248.5 3,007.3  
Total operating expenses                 3,135.4 2,890.1  
Quarterly Results of Operations [Member] | Reportable Subsegments [Member] | Americas [Member]                      
Segment Reporting Information [Line Items]                      
Segment Reporting Information, Revenue for Reportable Segment                 9,041.0 8,015.1  
Total operating expenses                 8,619.1 7,664.6  
Quarterly Results of Operations [Member] | LaSalle [Member]                      
Segment Reporting Information [Line Items]                      
Segment Reporting Information, Revenue for Reportable Segment                 533.9 355.8  
Total operating expenses                 $ 400.2 $ 297.5