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Segment - Schedule of Disaggregation of Revenue (Details) - USD ($)
$ in Millions
 12 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Dec. 31, 2022
Segment Reporting Information [Line Items]      
Gross revenue $ 3,330.6 $ 2,564.8 $ 1,993.6
General and administrative expenses:      
Equity-based compensation 65.5 57.4 49.6
Revaluation of contingent liabilities (4.0) (23.1) 36.6
Depreciation and amortization expense [1] 199.5 153.8 96.5
Impairment of intangible assets 0.0 18.6 0.0
Professional expenses (41.4) (33.1) (33.3)
Advertising and marketing expenses (21.7) (15.1) (14.9)
Interest income 33.7 31.9 10.8
Other income (expense), net 1.8 (3.9) 0.5
Gain on investments in securities 66.7 12.2 15.1
Change in TRA liability (289.0) (3.4) (1.7)
Interest expense (61.8) (32.1) (32.5)
Income tax benefit (expense) 296.1 3.4 (0.2)
Net income 294.5 122.9 86.7
Depreciation and amortization expenses of equipment 54.4 35.3 28.4
Reportable Segment      
Segment Reporting Information [Line Items]      
Network fees (1,976.2) (1,624.4) (1,266.1)
Other costs of sales (exclusive of depreciation of equipment under lease) (381.3) (252.6) (257.3)
General and administrative expenses:      
Employee expenses, excluding equity-based compensation (368.7) (251.2) (200.1)
Equity-based compensation (67.9) (59.1) (50.4)
Rent, office, occupancy and equipment expenses (22.9) (19.0) (16.9)
Revaluation of contingent liabilities (4.0) (23.1) 36.6
Depreciation and amortization expense (199.5) (153.8) (96.5)
Impairment of intangible assets 0.0 (18.6) 0.0
Professional expenses (41.4) (33.1) (33.3)
Advertising and marketing expenses (21.7) (15.1) (14.9)
Interest income 33.7 31.9 10.8
Other income (expense), net 1.8 (3.9) 0.5
Gain on investments in securities 66.7 12.2 15.1
Change in TRA liability (289.0) (3.4) (1.7)
Interest expense (61.8) (32.1) (32.5)
Income tax benefit (expense) 296.1 3.4 (0.2)
Net income 294.5 122.9 86.7
Payments-based revenue      
Segment Reporting Information [Line Items]      
Gross revenue 2,990.1 2,386.0 1,857.1
Payments-based revenue | Reportable Segment      
Segment Reporting Information [Line Items]      
Gross revenue 2,990.1 2,386.0 1,857.1
Subscription and other revenues      
Segment Reporting Information [Line Items]      
Gross revenue 340.5 178.8 136.5
Subscription and other revenues | Reportable Segment      
Segment Reporting Information [Line Items]      
Gross revenue $ 340.5 $ 178.8 $ 136.5
[1] Depreciation and amortization expense includes depreciation of equipment under lease of $54.4 million, $35.3 million, and $28.4 million for the years ended December 31, 2024, 2023, and 2022, respectively.