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Significant Accounting Policies - Furniture, Equipment, Purchased Software, Leasehold Improvements and Software Development Cost (Details) - USD ($) $ in Millions | 3 Months Ended | 6 Months Ended |  |
--- | --- | --- | --- | ---
Jun. 30, 2024 | Jun. 30, 2023 | Jun. 30, 2024 | Jun. 30, 2023 | Jan. 19, 2024 | Dec. 31, 2023
Software development costs |  |  |  |  |  |
Furniture, Equipment, Purchased Software and Leasehold Improvements |  |  |  |  |  |
Accumulated depreciation and amortization | $ 254.0 |  | $ 254.0 |  |  | $ 222.5
Useful life of intangible assets | 3 years |  | 3 years |  |  |
Amortization of pushdown accounting allocation |  |  | 9 years |  |  |
Amortization expense | $ 16.0 | $ 13.8 | $ 31.6 | $ 27.2 |  |
Software development costs | R8FIN |  |  |  |  |  |
Furniture, Equipment, Purchased Software and Leasehold Improvements |  |  |  |  |  |
Useful life of intangible assets | 7 years |  | 7 years |  | 7 years |
Software development costs | Yieldbroker Acquisition |  |  |  |  |  |
Furniture, Equipment, Purchased Software and Leasehold Improvements |  |  |  |  |  |
Useful life of intangible assets | 1 year |  | 1 year |  |  |
Software development costs | NFI Acquisition |  |  |  |  |  |
Furniture, Equipment, Purchased Software and Leasehold Improvements |  |  |  |  |  |
Useful life of intangible assets | 1 year |  | 1 year |  |  |
Minimum |  |  |  |  |  |
Furniture, Equipment, Purchased Software and Leasehold Improvements |  |  |  |  |  |
Useful life of intangible assets | 4 years |  | 4 years |  |  |
Maximum |  |  |  |  |  |
Furniture, Equipment, Purchased Software and Leasehold Improvements |  |  |  |  |  |
Useful life of intangible assets | 13 years |  | 13 years |  |  |
Furniture, Equipment, Purchased Software and Leasehold Improvements |  |  |  |  |  |
Furniture, Equipment, Purchased Software and Leasehold Improvements |  |  |  |  |  |
Accumulated depreciation and amortization | $ 105.7 |  | $ 105.7 |  |  | $ 95.8
Depreciation expense | $ 5.2 | $ 5.3 | $ 10.5 | $ 10.5 |  |
Furniture, Equipment, Purchased Software and Leasehold Improvements | Minimum |  |  |  |  |  |
Furniture, Equipment, Purchased Software and Leasehold Improvements |  |  |  |  |  |
Useful life | 3 years |  | 3 years |  |  |
Furniture, Equipment, Purchased Software and Leasehold Improvements | Maximum |  |  |  |  |  |
Furniture, Equipment, Purchased Software and Leasehold Improvements |  |  |  |  |  |
Useful life | 7 years |  | 7 years |  |  |

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