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Organization, Basis of Presentation and Significant Accounting Policies - Narrative (Details)
3 Months Ended 9 Months Ended
Jul. 03, 2025
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Nov. 05, 2019
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Sep. 30, 2025
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Sep. 30, 2025
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Sep. 30, 2024
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May 31, 2025
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May 31, 2025
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Dec. 31, 2024
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Organization Consolidation And Presentation Of Financial Statements [Line Items]                
Payments to acquire businesses, net of cash acquired       $ 2,568,300,000 $ 305,900,000      
Cash     $ 126,900,000 126,900,000       $ 52,000,000.0
Transfers and servicing of financial assets, receivables     $ 76,000,000 $ 76,000,000        
Vectron                
Organization Consolidation And Presentation Of Financial Statements [Line Items]                
Noncontrolling Ownership % | Rate     25.00% 25.00%       25.00%
Series A Convertible Preferred Stock                
Organization Consolidation And Presentation Of Financial Statements [Line Items]                
Preferred stock, issued (in shares) | shares     10,000,000 10,000,000   10,000,000 10,000,000 0
Preferred stock, liquidation preference     $ 1,000,000,000 $ 1,000,000,000        
Preferred stock issued during period (in shares) | shares       10,000,000        
Proceeds from issuance of convertible preferred stock       $ 1,000,000,000        
2025 Convertible Notes | Convertible Debt                
Organization Consolidation And Presentation Of Financial Statements [Line Items]                
Debt instrument, face amount     690,000,000.0 690,000,000.0        
2027 Convertible Notes | Convertible Debt                
Organization Consolidation And Presentation Of Financial Statements [Line Items]                
Debt instrument, face amount     632,500,000 632,500,000        
Convertible Notes Due 2025 and Convertible Notes Due 2027                
Organization Consolidation And Presentation Of Financial Statements [Line Items]                
Proceeds from 2025 notes offering   $ 1,322,500,000            
2033 Euro Notes | Senior Notes                
Organization Consolidation And Presentation Of Financial Statements [Line Items]                
Debt instrument, face amount           $ 798,100,000 € 680,000,000  
Stated interest rate           5.50% 5.50%  
Global Blue                
Organization Consolidation And Presentation Of Financial Statements [Line Items]                
Payments to acquire businesses, net of cash acquired $ 2,611,900,000   2,700,000,000 2,564,600,000        
The Giving Block                
Organization Consolidation And Presentation Of Financial Statements [Line Items]                
TRA liability     $ 362,100,000 $ 362,100,000       $ 365,500,000