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Income Taxes (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
Valuation Allowance [Line Items]          
Effective tax rate (135.00%) 2.00% (223.00%) (6.00%)  
Tax benefit, valuation allowance     $ 283.8    
Unrecognized tax benefits $ 7.5   7.5   $ 4.7
Tax receivable agreement, recognized liability 370.1   370.1   5.1
Payment to continuing equity owners     1.7    
Valuation Allowance Release On Shift4 Payments          
Valuation Allowance [Line Items]          
Tax benefit, valuation allowance 283.8   283.8    
Valuation Allowance Release On Certain Corporate Subsidiaries          
Valuation Allowance [Line Items]          
Tax benefit, valuation allowance $ 12.2   $ 12.2    
Legal Entity Restructuring          
Valuation Allowance [Line Items]          
Tax benefit, valuation allowance       $ 4.8  
Acquired Deferred Tax Liabilities From Focus          
Valuation Allowance [Line Items]          
Tax benefit, valuation allowance       $ 1.5  
Rook          
Valuation Allowance [Line Items]          
Deferred tax asset exchange of interests         523.0
Tax receivable agreement liability         $ 444.0