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Revenue - Disaggregation of Revenue (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2021
Sep. 30, 2020
Disaggregation of Revenue [Line Items]        
Revenue $ 2,332.9 $ 1,931.6 $ 6,505.0 $ 5,570.6
Americas        
Disaggregation of Revenue [Line Items]        
Revenue 1,746.5 1,416.1 4,851.6 4,059.4
EMEA        
Disaggregation of Revenue [Line Items]        
Revenue 268.8 223.2 756.8 638.3
APAC        
Disaggregation of Revenue [Line Items]        
Revenue 317.6 292.3 896.6 872.9
Property, facilities and project management | Over time        
Disaggregation of Revenue [Line Items]        
Revenue 1,418.5 1,347.1 4,151.4 3,910.9
Property, facilities and project management | Americas | Over time        
Disaggregation of Revenue [Line Items]        
Revenue 1,071.5 1,007.7 3,152.5 2,919.8
Property, facilities and project management | EMEA | Over time        
Disaggregation of Revenue [Line Items]        
Revenue 128.6 117.1 367.7 326.2
Property, facilities and project management | APAC | Over time        
Disaggregation of Revenue [Line Items]        
Revenue 218.4 222.3 631.2 664.9
Leasing | At a point in time        
Disaggregation of Revenue [Line Items]        
Revenue 463.0 323.5 1,215.5 896.4
Leasing | Americas | At a point in time        
Disaggregation of Revenue [Line Items]        
Revenue 359.7 245.6 927.2 681.1
Leasing | EMEA | At a point in time        
Disaggregation of Revenue [Line Items]        
Revenue 58.4 44.0 161.2 126.3
Leasing | APAC | At a point in time        
Disaggregation of Revenue [Line Items]        
Revenue 44.9 33.9 127.1 89.0
Capital markets | At a point in time        
Disaggregation of Revenue [Line Items]        
Revenue 331.0 155.9 780.9 452.0
Capital markets | Americas | At a point in time        
Disaggregation of Revenue [Line Items]        
Revenue 268.6 124.2 642.9 347.4
Capital markets | EMEA | At a point in time        
Disaggregation of Revenue [Line Items]        
Revenue 38.5 24.0 93.8 69.6
Capital markets | APAC | At a point in time        
Disaggregation of Revenue [Line Items]        
Revenue 23.9 7.7 44.2 35.0
Valuation and other | At a point in time or over time        
Disaggregation of Revenue [Line Items]        
Revenue 120.4 105.1 357.2 311.3
Valuation and other | Americas | At a point in time or over time        
Disaggregation of Revenue [Line Items]        
Revenue 46.7 38.6 129.0 111.1
Valuation and other | EMEA | At a point in time or over time        
Disaggregation of Revenue [Line Items]        
Revenue 43.3 38.1 134.1 116.2
Valuation and other | APAC | At a point in time or over time        
Disaggregation of Revenue [Line Items]        
Revenue $ 30.4 $ 28.4 $ 94.1 $ 84.0