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Business Combinations, Goodwill and Other Intangible Assets, Other Intangibles by Segment (Details) - USD ($)
$ in Millions
 12 Months Ended
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
Schedule of Finite and Indefinite lived Intangible Assets by Segment [Line Items]      
Additions, net of adjustments (1) $ 139.5 $ 454.0  
Adjustment for fully amortized intangibles (69.2) (64.1)  
Impairment of Intangible Assets, Indefinite-lived (Excluding Goodwill)   (0.5)  
Impact of exchange rate movements 7.4 1.3  
Intangible Assets, Gross (Excluding Goodwill) 975.1 897.4 $ 506.7
Identified intangibles, with finite useful lives, accumulated amortization (295.3) (214.8) (169.8)
Amortization expense, net (2) (148.2) (109.8)  
Accumulated Amortization Adjustment for fully Amortized Intangibles 69.2 64.1  
Accelerated Depreciation on Intangibles   0.5  
Impact of exchange rate movements (1.5) (0.2)  
Net book value as of end of period 679.8 682.6  
Servicing Asset at Amortized Cost, Other than Temporary Impairments 23.7 16.6  
Finite-Lived Intangible Assets, Amortization Expense, Maturity Schedule [Abstract]      
2021 120.6    
2022 108.7    
2023 100.4    
2024 88.4    
2025 63.2    
Thereafter 144.5    
Total 625.8    
Valuation Allowance for Impairment of Recognized Servicing Assets, Deductions for Aggregate Write-Downs $ 0.1    
Mortgage servicing rights [Member]      
Schedule of Finite and Indefinite lived Intangible Assets by Segment [Line Items]      
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life 4 years 4 months 24 days    
Finite-Lived Intangible Assets, Amortization Expense, Maturity Schedule [Abstract]      
2021 $ 71.7    
2022 65.6    
2023 59.8    
2024 52.1    
2025 44.1    
Thereafter 131.0    
Total 424.3    
Mortgage servicing rights [Member] | Americas [Member]      
Schedule of Finite and Indefinite lived Intangible Assets by Segment [Line Items]      
Additions, net of adjustments (1) 139.0 247.6  
Adjustment for fully amortized intangibles (47.3) (33.4)  
Impairment of Intangible Assets, Indefinite-lived (Excluding Goodwill)   0.0  
Impact of exchange rate movements 0.0 0.0  
Intangible Assets, Gross (Excluding Goodwill) 572.1 480.4 266.2
Identified intangibles, with finite useful lives, accumulated amortization (147.8) (104.0) (72.4)
Amortization expense, net (2) (91.1) (65.0)  
Accumulated Amortization Adjustment for fully Amortized Intangibles 47.3 33.4  
Accelerated Depreciation on Intangibles   0.0  
Impact of exchange rate movements 0.0 0.0  
Net book value as of end of period $ 424.3    
Other Intangible Assets [Member]      
Schedule of Finite and Indefinite lived Intangible Assets by Segment [Line Items]      
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life 3 years 2 months 12 days    
Finite-Lived Intangible Assets, Amortization Expense, Maturity Schedule [Abstract]      
2021 $ 48.9    
2022 43.1    
2023 40.6    
2024 36.3    
2025 19.1    
Thereafter 13.5    
Total 201.5    
Other Intangible Assets [Member] | LaSalle [Member]      
Schedule of Finite and Indefinite lived Intangible Assets by Segment [Line Items]      
Additions, net of adjustments (1) 0.0 9.6  
Adjustment for fully amortized intangibles 0.0 0.0  
Impairment of Intangible Assets, Indefinite-lived (Excluding Goodwill)   0.0  
Impact of exchange rate movements 3.9 0.5  
Intangible Assets, Gross (Excluding Goodwill) 57.9 54.0 43.9
Identified intangibles, with finite useful lives, accumulated amortization (5.3) (2.7) 0.0
Amortization expense, net (2) (2.6) (2.7)  
Accumulated Amortization Adjustment for fully Amortized Intangibles 0.0 0.0  
Accelerated Depreciation on Intangibles   0.0  
Impact of exchange rate movements 0.0 0.0  
Net book value as of end of period 52.6    
Other Intangible Assets [Member] | Americas [Member]      
Schedule of Finite and Indefinite lived Intangible Assets by Segment [Line Items]      
Additions, net of adjustments (1) 0.0 196.7  
Adjustment for fully amortized intangibles (19.9) (0.6)  
Impairment of Intangible Assets, Indefinite-lived (Excluding Goodwill)   (0.5)  
Impact of exchange rate movements 0.0 0.1  
Intangible Assets, Gross (Excluding Goodwill) 265.8 285.7 90.0
Identified intangibles, with finite useful lives, accumulated amortization (94.1) (68.3) (38.8)
Amortization expense, net (2) (46.0) (30.7)  
Accumulated Amortization Adjustment for fully Amortized Intangibles 19.9 0.6  
Accelerated Depreciation on Intangibles   0.5  
Impact of exchange rate movements (0.3) (0.1)  
Net book value as of end of period 171.7    
Other Intangible Assets [Member] | EMEA [Member]      
Schedule of Finite and Indefinite lived Intangible Assets by Segment [Line Items]      
Additions, net of adjustments (1) 0.0 0.1  
Adjustment for fully amortized intangibles (1.9) (28.1)  
Impairment of Intangible Assets, Indefinite-lived (Excluding Goodwill)   0.0  
Impact of exchange rate movements 1.7 0.8  
Intangible Assets, Gross (Excluding Goodwill) 55.7 55.9 83.1
Identified intangibles, with finite useful lives, accumulated amortization (39.5) (33.1) (51.8)
Amortization expense, net (2) (7.1) (9.5)  
Accumulated Amortization Adjustment for fully Amortized Intangibles 1.9 28.1  
Accelerated Depreciation on Intangibles   0.0  
Impact of exchange rate movements (1.2) (0.1)  
Net book value as of end of period 16.2    
Other Intangible Assets [Member] | Asia Pacific [Member]      
Schedule of Finite and Indefinite lived Intangible Assets by Segment [Line Items]      
Additions, net of adjustments (1) 0.5 0.0  
Adjustment for fully amortized intangibles (0.1) (2.0)  
Impairment of Intangible Assets, Indefinite-lived (Excluding Goodwill)   0.0  
Impact of exchange rate movements 1.8 0.1  
Intangible Assets, Gross (Excluding Goodwill) 23.6 21.4 23.5
Identified intangibles, with finite useful lives, accumulated amortization (8.6) (6.7) $ (6.8)
Amortization expense, net (2) (1.4) (1.9)  
Accumulated Amortization Adjustment for fully Amortized Intangibles 0.1 2.0  
Accelerated Depreciation on Intangibles   0.0  
Impact of exchange rate movements (0.6) $ 0.0  
Net book value as of end of period $ 15.0