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Business Combinations, Goodwill and Other Intangible Assets, Business Combinations Activity (Details) $ in Millions | 12 Months Ended
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Dec. 31, 2020 USD ($) acquisition | Dec. 31, 2019 USD ($) acquisition | Dec. 31, 2018 USD ($)
Business Acquisition [Line Items] |  |  |
Servicing Asset at Amortized Cost, Other than Temporary Impairments | $ 23.7 | $ 16.6 |
Payments to Acquire Businesses, Gross |  | 40.4 |
Cash Acquired from Acquisition |  | 3.8 |
Business Combinations, Guaranteed Deferred Acquisition Obligation | 0.0 | 17.0 | $ 3.9
Goodwill, acquired during period |  | 1,460.5 |
Finite-lived intangible assets acquired |  | 12.7 |
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net |  | 4.7 |
Payment for Contingent Consideration Liability, Total | 67.7 | 104.7 |
Payments for Repurchase of Redeemable Noncontrolling Interest |  | 8.4 |
Goodwill Additions, net of adjustments |  | 1,461.5 |
Business Acquisition, Goodwill, Expected Tax Deductible Amount |  | 25.4 |
Business Acquisitions, Contingent Consideration | $ 0.0 | $ 846.1 | 11.6
Number of acquisitions subject to potential earn-out payments provisions | acquisition | 35 | 44 |
Maximum amount of the potential earn-out payments | $ 199.2 | $ 268.9 |
Business Combination, Contingent Consideration, Liability, Current | 91.7 | 74.4 |
Business Combination, Contingent Consideration, Liability, Noncurrent | 26.2 | 124.1 |
Payments to Acquire Businesses, Net of Cash Acquired | 0.0 | 801.3 | 101.3
Goodwill | 4,224.7 | 4,168.2 | 2,697.8
Goodwill, Written off Related to Sale of Business Unit | 0.7 | 4.4 |
Impact of exchange rate movements | 57.2 | 13.3 |
LaSalle [Member] |  |  |
Business Acquisition [Line Items] |  |  |
Goodwill Additions, net of adjustments |  | 35.5 |
Goodwill | 57.8 | 57.1 | 22.2
Goodwill, Written off Related to Sale of Business Unit | 0.0 | 0.0 |
Impact of exchange rate movements | 0.7 | (0.6) |
HFF Acquisition [Member] |  |  |
Business Acquisition [Line Items] |  |  |
Payments to Acquire Businesses, Gross |  | 1,029.5 |
Business Acquisitions, Contingent Consideration |  | 1,870.7 |
Business Acquisition, Equity Interest Issued or Issuable, Value Assigned |  | 809.2 |
Shares Issued to Replace Legacy Awards |  | 32.0 |
Goodwill |  | 1,397.7 |
Other Acquisitions [Member] |  |  |
Business Acquisition [Line Items] |  |  |
Goodwill, acquired during period |  | 62.8 |
Business Acquisitions, Contingent Consideration |  | 5.0 |
Fair Value, Inputs, Level 3 [Member] | Fair Value, Recurring [Member] |  |  |
Business Acquisition [Line Items] |  |  |
Business Combination, Contingent Consideration, Liability, Current | 77.2 | 53.9 |
Business Combination, Contingent Consideration, Liability | 85.7 | 148.5 | $ 192.0
Business Combination, Contingent Consideration, Liability, Noncurrent | $ 8.5 | $ 94.5 |

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