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Business Segment Reporting - Schedule of Segment Reporting Information (Details) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2024
Sep. 30, 2023
Dec. 31, 2023
Results of Operations           
Servicing and subservicing fees $ 211.1 $ 237.8 $ 626.5 $ 707.5  
Gain (loss) on reverse loans held for investment and HMBS-related borrowings, net 18.0 (0.4) 41.9 21.5  
Gain on loans held for sale, net 25.8 8.2 53.2 36.3  
Other revenue, net 10.8 10.0 29.6 24.0  
Revenue 265.7 255.5 751.2 789.4  
MSR valuation adjustments, net (31.5) (16.4) (75.8) (134.2)  
Compensation and benefits 59.5 55.7 168.1 171.4  
Servicing and origination 11.1 15.5 40.0 48.8  
Technology and communications 13.2 13.1 38.9 39.5  
Professional Fees, Net   13.5   9.9  
Professional Fees 17.3   40.1    
Occupancy, equipment and mailing 7.9 7.7 23.1 24.2  
Corporate Overhead Allocations 0.0 0.0 0.0 0.0  
Other expenses 3.4 4.6 10.6 14.7  
Operating expenses 112.4 110.0 320.8 308.4  
Other income (expense):          
Interest income 24.5 25.9 64.5 60.2  
Interest expense (74.2) (74.3) (214.6) (204.8)  
Pledged MSR liability expense (42.3) (76.5) (133.3) (219.8)  
Earnings of equity method investee 0.8 2.8 6.7 5.9  
Gain on extinguishment of debt 0.3 1.2 1.8 1.2  
Other, net (3.3) 1.3 (6.7) (1.9)  
Other income (expense), net (94.1) (119.7) (281.7) (359.2)  
Income (loss) before income taxes 27.6 9.5 72.9 (12.5)  
Total Assets          
Total Assets 13,226.7   13,226.7   $ 12,513.7
Operating Segments | Servicing          
Results of Operations           
Servicing and subservicing fees 210.2 236.9 624.5 705.9  
Gain (loss) on reverse loans held for investment and HMBS-related borrowings, net 11.9 (6.1) 23.2 3.9  
Gain on loans held for sale, net 9.4 (0.8) 11.0 13.0  
Other revenue, net 4.7 4.4 13.5 11.4  
Revenue 236.1 234.5 672.3 734.3  
MSR valuation adjustments, net (35.6) (21.0) (83.9) (142.4)  
Compensation and benefits 26.0 25.2 75.8 81.3  
Servicing and origination 8.9 13.2 33.3 44.8  
Technology and communications 6.0 6.1 18.4 18.6  
Professional Fees, Net   8.2   27.5  
Professional Fees 9.6   19.5    
Occupancy, equipment and mailing 6.7 6.8 20.2 21.7  
Corporate Overhead Allocations 11.5 11.4 33.2 34.0  
Other expenses 0.9 1.9 2.9 6.4  
Operating expenses 69.6 72.9 203.3 234.2  
Other income (expense):          
Interest income 8.4 5.9 22.3 16.0  
Interest expense (46.6) (43.3) (139.4) (128.2)  
Pledged MSR liability expense (42.3) (76.5) (133.4) (219.9)  
Earnings of equity method investee 0.8 2.8 6.7 5.9  
Gain on extinguishment of debt 0.0 0.0 0.0 0.0  
Other, net (3.4) 1.2 (6.9) (3.8)  
Other income (expense), net (83.2) (109.9) (250.8) (329.9)  
Income (loss) before income taxes 47.7 30.7 134.3 27.7  
Total Assets          
Total Assets 12,110.2   12,110.2   11,687.6
Operating Segments | Originations          
Results of Operations           
Servicing and subservicing fees 1.0 0.8 2.0 1.6  
Gain (loss) on reverse loans held for investment and HMBS-related borrowings, net 6.2 5.7 18.7 17.7  
Gain on loans held for sale, net 16.4 9.0 42.2 23.3  
Other revenue, net 6.1 5.5 16.1 12.6  
Revenue 29.6 21.0 78.9 55.2  
MSR valuation adjustments, net 4.1 4.6 8.1 8.2  
Compensation and benefits 11.8 11.6 33.3 32.1  
Servicing and origination 1.8 2.0 5.5 3.1  
Technology and communications 1.9 1.9 5.3 5.4  
Professional Fees, Net   0.7   1.4  
Professional Fees 0.6   1.4    
Occupancy, equipment and mailing 0.7 0.6 1.7 1.6  
Corporate Overhead Allocations 4.2 4.5 12.4 14.4  
Other expenses 1.3 1.1 3.7 4.1  
Operating expenses 22.2 22.3 63.2 62.1  
Other income (expense):          
Interest income 14.8 18.7 38.6 40.8  
Interest expense (16.2) (20.0) (41.4) (44.0)  
Pledged MSR liability expense 0.0 0.0 0.0 0.0  
Earnings of equity method investee 0.0 0.0 0.0 0.0  
Gain on extinguishment of debt 0.0 0.0 0.0 0.0  
Other, net 0.0 (0.1) (0.3) (0.1)  
Other income (expense), net (1.4) (1.5) (3.1) (3.4)  
Income (loss) before income taxes 10.2 1.9 20.7 (2.2)  
Total Assets          
Total Assets 856.6   856.6   551.9
Operating Segments | Corporate Items and Other          
Results of Operations           
Servicing and subservicing fees 0.0 0.0 0.0 0.0  
Gain (loss) on reverse loans held for investment and HMBS-related borrowings, net 0.0 0.0 0.0 0.0  
Gain on loans held for sale, net 0.0 0.0 0.0 0.0  
Other revenue, net 0.0 0.0 0.0 0.0  
Revenue 0.0 0.0 0.0 0.0  
MSR valuation adjustments, net 0.0 0.0 0.0 0.0  
Compensation and benefits 21.7 18.9 59.1 58.0  
Servicing and origination 0.4 0.3 1.2 0.8  
Technology and communications 5.3 5.0 15.3 15.5  
Professional Fees, Net   4.7   (19.0)  
Professional Fees 7.2   19.1    
Occupancy, equipment and mailing 0.5 0.3 1.3 0.9  
Corporate Overhead Allocations (15.7) (15.9) (45.6) (48.4)  
Other expenses 1.2 1.5 4.0 4.2  
Operating expenses 20.6 14.8 54.3 12.1  
Other income (expense):          
Interest income 1.3 1.2 3.6 3.4  
Interest expense (11.4) (11.0) (33.8) (32.6)  
Pledged MSR liability expense 0.0 0.0 0.1 0.1  
Earnings of equity method investee 0.0 0.0 0.0 0.0  
Gain on extinguishment of debt 0.3 1.2 1.8 1.2  
Other, net 0.2 0.2 0.5 2.0  
Other income (expense), net (9.6) (8.3) (27.8) (26.0)  
Income (loss) before income taxes (30.2) $ (23.1) (82.1) $ (38.0)  
Total Assets          
Total Assets $ 259.9   $ 259.9   $ 274.3