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Business Combinations, Goodwill and Other Intangible Assets, Other Intangibles by Segment (Details) - USD ($)
$ in Millions
 3 Months Ended 12 Months Ended
Dec. 31, 2019
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Schedule of Finite and Indefinite lived Intangible Assets by Segment [Line Items]        
Additions, net of adjustments (1)   $ 454.0 $ 107.0  
Adjustment for fully amortized intangibles   (64.1) (64.4)  
Impairment of Intangible Assets, Indefinite-lived (Excluding Goodwill)   (0.5)    
Impact of exchange rate movements   (1.3) 6.8  
Intangible Assets, Gross (Excluding Goodwill) $ 897.4 897.4 506.7 $ 470.9
Identified intangibles, with finite useful lives, accumulated amortization (214.8) (214.8) (169.8) (165.9)
Amortization expense, net (2)   (109.8) (72.2)  
Accumulated Amortization Adjustment for fully Amortized Intangibles   64.1 64.4  
Accelerated Depreciation on Intangibles   0.5    
Impact of exchange rate movements   0.2 (3.9)  
Net book value as of end of period 682.6 682.6 336.9  
Servicing Asset at Amortized Cost, Other than Temporary Impairments   16.6 11.4  
Finite-Lived Intangible Assets, Amortization Expense, Maturity Schedule [Abstract]        
2020 122.0 122.0    
2021 109.8 109.8    
2022 96.1 96.1    
2023 86.6 86.6    
2024 74.7 74.7    
Thereafter 143.4 143.4    
Total $ 632.6 632.6    
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]        
2020 $ 65.4 65.4    
2021 61.2 61.2    
2022 53.2 53.2    
2023 46.1 46.1    
2024 38.5 38.5    
Thereafter 112.0 112.0    
Total 376.4 376.4    
Mortgage servicing rights [Member] | Reportable Subsegments [Member] | Americas [Member]        
Schedule of Finite and Indefinite lived Intangible Assets by Segment [Line Items]        
Additions, net of adjustments (1)   247.6 49.9  
Adjustment for fully amortized intangibles   (33.4) (25.5)  
Impairment of Intangible Assets, Indefinite-lived (Excluding Goodwill)   0.0    
Impact of exchange rate movements   0.0 0.0  
Intangible Assets, Gross (Excluding Goodwill) 480.4 480.4 266.2 241.8
Identified intangibles, with finite useful lives, accumulated amortization (104.0) (104.0) (72.4) (55.1)
Amortization expense, net (2)   (65.0) (42.8)  
Accumulated Amortization Adjustment for fully Amortized Intangibles   33.4 25.5  
Accelerated Depreciation on Intangibles   0.0    
Impact of exchange rate movements   0.0 0.0  
Net book value as of end of period $ 376.4 376.4    
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 6 months      
Finite-Lived Intangible Assets, Amortization Expense, Maturity Schedule [Abstract]        
2020 $ 56.6 56.6    
2021 48.6 48.6    
2022 42.9 42.9    
2023 40.5 40.5    
2024 36.2 36.2    
Thereafter 31.4 31.4    
Total 256.2 256.2    
Other Intangible Assets [Member] | Reportable Subsegments [Member] | Americas [Member]        
Schedule of Finite and Indefinite lived Intangible Assets by Segment [Line Items]        
Additions, net of adjustments (1)   196.7 9.1  
Adjustment for fully amortized intangibles   (0.6) (36.2)  
Impairment of Intangible Assets, Indefinite-lived (Excluding Goodwill)   (0.5)    
Impact of exchange rate movements   (0.1) (0.1)  
Intangible Assets, Gross (Excluding Goodwill) 285.7 285.7 90.0 117.0
Identified intangibles, with finite useful lives, accumulated amortization (68.3) (68.3) (38.8) (61.3)
Amortization expense, net (2)   (30.7) (14.0)  
Accumulated Amortization Adjustment for fully Amortized Intangibles   0.6 36.2  
Accelerated Depreciation on Intangibles   0.5    
Impact of exchange rate movements   0.1 0.3  
Net book value as of end of period 217.4 217.4    
Other Intangible Assets [Member] | Reportable Subsegments [Member] | EMEA [Member]        
Schedule of Finite and Indefinite lived Intangible Assets by Segment [Line Items]        
Additions, net of adjustments (1)   0.1 0.3  
Adjustment for fully amortized intangibles   (28.1) (1.7)  
Impairment of Intangible Assets, Indefinite-lived (Excluding Goodwill)   0.0    
Impact of exchange rate movements   (0.8) 4.3  
Intangible Assets, Gross (Excluding Goodwill) 55.9 55.9 83.1 88.8
Identified intangibles, with finite useful lives, accumulated amortization (33.1) (33.1) (51.8) (43.1)
Amortization expense, net (2)   (9.5) (12.8)  
Accumulated Amortization Adjustment for fully Amortized Intangibles   28.1 1.7  
Accelerated Depreciation on Intangibles   0.0    
Impact of exchange rate movements   0.1 (2.4)  
Net book value as of end of period 22.8 22.8    
Other Intangible Assets [Member] | Reportable Subsegments [Member] | Asia Pacific [Member]        
Schedule of Finite and Indefinite lived Intangible Assets by Segment [Line Items]        
Additions, net of adjustments (1)   0.0 3.8  
Adjustment for fully amortized intangibles   (2.0) (1.0)  
Impairment of Intangible Assets, Indefinite-lived (Excluding Goodwill)   0.0    
Impact of exchange rate movements   0.1 2.6  
Intangible Assets, Gross (Excluding Goodwill) 21.4 21.4 23.5 23.3
Identified intangibles, with finite useful lives, accumulated amortization (6.7) (6.7) (6.8) (6.4)
Amortization expense, net (2)   (1.9) (2.6)  
Accumulated Amortization Adjustment for fully Amortized Intangibles   2.0 1.0  
Accelerated Depreciation on Intangibles   0.0    
Impact of exchange rate movements   0.0 (1.2)  
Net book value as of end of period 14.7 14.7    
Other Intangible Assets [Member] | LaSalle [Member]        
Schedule of Finite and Indefinite lived Intangible Assets by Segment [Line Items]        
Additions, net of adjustments (1)   9.6 43.9  
Adjustment for fully amortized intangibles   0.0 0.0  
Impairment of Intangible Assets, Indefinite-lived (Excluding Goodwill)   0.0    
Impact of exchange rate movements   (0.5) 0.0  
Intangible Assets, Gross (Excluding Goodwill) 54.0 54.0 43.9 0.0
Identified intangibles, with finite useful lives, accumulated amortization (2.7) (2.7) 0.0 $ 0.0
Amortization expense, net (2)   (2.7) 0.0  
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 $ 51.3 $ 51.3