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Business Segments (Details) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2025
Sep. 30, 2024
Segment Reporting Information [Line Items]        
Revenue $ 6,510.4 $ 5,868.8 $ 18,506.9 $ 16,622.0
Equity in earnings (losses) 27.4 (0.9) (25.6) (20.0)
Adjusted EBITDA 347.3 298.1 863.8 731.5
Restructuring and acquisition charges (11.7) 8.8 (52.7) (4.4)
Interest on employee loans, net 1.5 1.8 5.1 4.1
Equity earnings (losses) - Investment Management and Software and Technology Solutions 26.6 (2.2) (29.1) (23.4)
Credit losses on convertible note investments (2.2) (6.3) (2.9) (6.3)
Net non-cash MSR and mortgage banking derivative activity (0.2) (5.1) (17.3) (25.9)
Interest Expense, Net of Interest Income (29.2) (38.1) (89.1) (110.3)
Provision for income taxes (52.6) (37.4) (93.3) (73.8)
Depreciation and amortization adjusted (56.7) (64.5) (194.1) (185.9)
Depreciation and amortization 57.6 65.5 196.9 188.8
Net income attributable to common shareholders 222.8 155.1 390.4 305.6
Real Estate Management Services        
Segment Reporting Information [Line Items]        
Revenue 4,982.4 4,520.5 14,445.8 12,959.6
Platform compensation and benefits 475.2 436.4 1,372.6 1,253.4
Platform operating, administrative and other 148.4 159.5 435.1 434.9
Gross contract costs 4,255.5 3,829.9 12,358.8 11,016.1
Equity in earnings (losses) 0.1 1.1 1.0 2.5
Segment Reporting, Other Segment Item, Amount (1.2) (1.3) (5.2) (3.2)
Adjusted EBITDA 102.2 94.5 275.1 254.5
Depreciation and amortization adjusted 25.1 32.0 84.9 88.3
Leasing Advisory        
Segment Reporting Information [Line Items]        
Revenue 741.9 691.5 2,004.8 1,854.1
Platform compensation and benefits 538.3 494.9 1,444.4 1,337.4
Platform operating, administrative and other 64.2 55.5 198.8 174.4
Gross contract costs 3.1 9.7 8.4 24.4
Equity in earnings (losses) 0.0 0.0 0.0 0.1
Segment Reporting, Other Segment Item, Amount 0.6 0.3 1.1 0.6
Adjusted EBITDA 136.9 131.7 354.3 318.6
Depreciation and amortization 10.9 9.1 33.9 27.2
Capital Markets Services        
Segment Reporting Information [Line Items]        
Revenue 612.1 498.8 1,567.7 1,334.0
Platform compensation and benefits 436.8 365.5 1,140.4 994.2
Platform operating, administrative and other 85.8 62.3 251.5 206.4
Gross contract costs 1.5 11.5 4.3 36.9
Equity in earnings (losses) 0.8 0.2 3.2 0.8
Segment Reporting, Other Segment Item, Amount 1.1 6.0 18.5 27.2
Adjusted EBITDA 89.9 65.7 193.2 124.5
Depreciation and amortization 9.8 16.6 46.2 50.3
Investment Management        
Segment Reporting Information [Line Items]        
Revenue 115.4 101.3 317.0 307.3
Platform compensation and benefits 68.0 59.8 187.2 180.1
Platform operating, administrative and other 16.1 18.7 49.9 52.1
Gross contract costs 7.8 9.3 24.3 26.5
Equity in earnings (losses) 9.3 (13.8) 1.9 (25.0)
Segment Reporting, Other Segment Item, Amount 0.2 0.5 0.2 9.1
Adjusted EBITDA 23.7 14.0 55.8 57.7
Depreciation and amortization 2.7 1.9 8.4 5.9
Software and Technology Solutions        
Segment Reporting Information [Line Items]        
Revenue 58.6 56.7 171.6 167.0
Platform compensation and benefits 46.4 48.1 143.9 146.8
Platform operating, administrative and other 13.0 12.8 42.3 35.7
Gross contract costs 0.8 1.4 2.0 4.0
Segment Reporting, Other Segment Item, Amount 0.5 0.0 1.4 0.0
Adjusted EBITDA (1.1) (5.6) (15.2) (19.5)
Depreciation and amortization 8.2 4.9 20.7 14.2
Other Operating Segment        
Segment Reporting Information [Line Items]        
Adjusted EBITDA (4.3) (2.2) 0.6 (4.3)
Workplace Management | Real Estate Management Services        
Segment Reporting Information [Line Items]        
Revenue 3,423.6 3,164.6 10,036.3 9,057.4
Project Management | Real Estate Management Services        
Segment Reporting Information [Line Items]        
Revenue 967.9 771.3 2,687.0 2,215.8
Property Management | Real Estate Management Services        
Segment Reporting Information [Line Items]        
Revenue 461.1 452.3 1,361.1 1,318.6
Portfolio Services and Other | Real Estate Management Services        
Segment Reporting Information [Line Items]        
Revenue 129.8 132.3 361.4 367.8
Leasing | Leasing Advisory        
Segment Reporting Information [Line Items]        
Revenue 719.1 665.4 1,936.7 1,781.8
Advisory and Consulting | Leasing Advisory        
Segment Reporting Information [Line Items]        
Revenue 22.8 26.1 68.1 72.3
Investment Sales, Debt/Equity Advisory and Other | Capital Markets Services        
Segment Reporting Information [Line Items]        
Revenue 479.5 371.8 1,172.7 950.8
Value and Risk Advisory | Capital Markets Services        
Segment Reporting Information [Line Items]        
Revenue 89.9 86.0 269.2 262.0
Loan Servicing | Capital Markets Services        
Segment Reporting Information [Line Items]        
Revenue 42.7 41.0 125.8 121.2
Advisory Fees | Investment Management        
Segment Reporting Information [Line Items]        
Revenue 93.0 92.7 275.6 278.1
Transaction Fees & Other | Investment Management        
Segment Reporting Information [Line Items]        
Revenue 5.9 8.6 20.9 24.4
Incentive Fees | Investment Management        
Segment Reporting Information [Line Items]        
Revenue $ 16.5 $ 0.0 $ 20.5 $ 4.8