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Business Combinations (Details)
$ in Millions
 3 Months Ended 9 Months Ended
Sep. 30, 2019
USD ($)
Sep. 30, 2018
USD ($)
Sep. 30, 2019
USD ($)
acquisition
Sep. 30, 2018
USD ($)
Dec. 31, 2018
USD ($)
Dec. 31, 2017
USD ($)
Business Acquisition [Line Items]            
Business Acquisition, Fair Value of Intangible Asset at Acquisition Date     $ 349.9      
Business Acquisition, Estimated Adjustments, Net of Tax $ 38.3 $ (23.7) 6.8 $ (76.1)    
Line of Credit Facility, Maximum Borrowing Capacity 70.0   $ 70.0      
Number of Businesses Acquired | acquisition     3      
Payments to Acquire Businesses     $ 28.3      
Cash Acquired from Acquisition     3.8      
Business Combinations, Guaranteed Deferred Acquisition Obligation     6.5 1.9    
Business Combination, contingent earn-out consideration     842.7 2.7    
Goodwill, Acquired During Period     39.3      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles     10.1      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net (4.7)   (4.7)      
Redeemable Noncontrolling Interest 8.5   $ 8.5   $ 0.0 $ 3.8
Document Period End Date     Sep. 30, 2019      
Payment for Contingent Consideration Liability, Total     $ 59.9      
Goodwill, Purchase Accounting Adjustments     1.0      
Intangible Assets, Current 0.5   0.5      
Business Combination, Provisional Information, Initial Accounting Incomplete, Adjustment, Intangibles     (1.5)      
Goodwill 4,083.2 2,689.7 4,083.2 2,689.7 2,697.8 2,709.3
Reportable Subsegments [Member] | Americas [Member]            
Business Acquisition [Line Items]            
Goodwill 2,845.2 1,432.7 2,845.2 1,432.7 1,452.0 1,412.2
Reportable Subsegments [Member] | EMEA [Member]            
Business Acquisition [Line Items]            
Goodwill 869.9 918.1 869.9 918.1 906.8 957.6
Reportable Subsegments [Member] | Asia Pacific [Member]            
Business Acquisition [Line Items]            
Goodwill 312.2 322.9 312.2 322.9 316.8 323.0
Investment Management [Member]            
Business Acquisition [Line Items]            
Goodwill 55.9 16.0 55.9 16.0 $ 22.2 $ 16.5
Net of NCI Income [Member]            
Business Acquisition [Line Items]            
Redeemable Noncontrolling Interest 8.4   8.4      
HFF Acquisition [Member]            
Business Acquisition [Line Items]            
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Cash and Equivalents 262.8   262.8      
Business Combination, Integration Related Costs 60.1   69.8      
Business Acquisition, Pro Forma Revenue 4,495.6 4,131.1 12,908.0 11,871.0    
Payments to Acquire Businesses     1,029.5      
Business Combination, contingent earn-out consideration     1,870.7      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net 480.9   480.9      
Business Acquisition, Equity Interest Issued or Issuable, Value Assigned 809.2   809.2      
Shares Issued to Replace Legacy Awards     32.0      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets, Receivables 14.8   14.8      
Business Combination, Recognized Identifiable Asset Acquired and Liabilities Assumed, Warehouse Receivables 794.1   794.1      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets, Prepaid Expense and Other Assets 43.0   43.0      
Business Combination, Provisional Information, Initial Accounting Incomplete, Adjustment, Property, Plant, and Equipment 18.9   18.9      
Business Combination, Recognized Identifiable Asset Acquired and Liability Assumed, Lease Obligation 53.5   53.5      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill 349.9   349.9      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets, Other 38.4   38.4      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Assets 1,575.4   1,575.4      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities, Accounts Payable 33.9   33.9      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Accrued Compensation and Benefits 55.8   55.8      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Warehouse Facilities 766.0   766.0      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities, Other 64.4   64.4      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities 86.7   86.7      
Business Combination, Identifiable Assets Acquired and Liabilities Assumed, Long-Term Operating Lease Liabilities 42.6   42.6      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Other 45.1   45.1      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Liabilities 1,094.5   1,094.5      
Goodwill 1,389.8   1,389.8      
Business Acquisitions, Pro Forma Net Income (Loss) Attributable to Common Shareholders $ 167.2 $ 140.8 305.1 $ 277.9    
Business Combination, Pro Forma Information, Revenue of Acquiree since Acquisition Date, Actual     184.5      
Business Combination, Pro Forma Information, Operating Income since Acquisition Date     36.7      
Share-based Payment Arrangement, Expense     100.0      
Other Acquisitions [Member]            
Business Acquisition [Line Items]            
Business Combination, contingent earn-out consideration     $ 1.5      
Mortgage servicing rights [Member]            
Business Acquisition [Line Items]            
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life     6 years 2 months 12 days      
Business Acquisition, Fair Value of Intangible Asset at Acquisition Date     $ 156.7      
Other Intangible Assets [Member]            
Business Acquisition [Line Items]            
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life     6 years      
Business Acquisition, Fair Value of Intangible Asset at Acquisition Date     $ 193.2