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Summary of Significant Accounting Policies (Details) - USD ($)
12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
Significant Accounting Policies [Line Items]      
Foreign currency gain (loss) $ 2,000,000.0 $ 1,900,000 $ 1,700,000
Software amortization 3,900,000 4,300,000 5,000,000.0
Depreciation 53,800,000 52,700,000 55,600,000
Reserve for Sales Returns, Current 42,800,000 50,300,000  
Customer advance payments 800,000 1,100,000  
Advertising expense $ 126,300,000 $ 127,100,000 $ 116,000,000.0
Supplier Finance Program, Obligation, Statement of Financial Position [Extensible Enumeration] Other liabilities Other current liabilities  
Loans Receivable with Variable Rates of Interest $ 140,000,000.0    
Share options      
Significant Accounting Policies [Line Items]      
Vesting period (in years) 3 years    
Minimum | Capitalized software costs      
Significant Accounting Policies [Line Items]      
Property, plant and equipment, useful life 3 years    
Minimum | Machinery and equipment      
Significant Accounting Policies [Line Items]      
Property, plant and equipment, useful life 3 years    
Minimum | Buildings and building improvements      
Significant Accounting Policies [Line Items]      
Property, plant and equipment, useful life 15 years    
Minimum | RSE awards      
Significant Accounting Policies [Line Items]      
Vesting period (in years) 3 years    
Maximum | Capitalized software costs      
Significant Accounting Policies [Line Items]      
Property, plant and equipment, useful life   7 years  
Maximum | Machinery and equipment      
Significant Accounting Policies [Line Items]      
Property, plant and equipment, useful life 10 years    
Maximum | Buildings and building improvements      
Significant Accounting Policies [Line Items]      
Property, plant and equipment, useful life   30 years  
Maximum | RSE awards      
Significant Accounting Policies [Line Items]      
Vesting period (in years) 4 years