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Significant Accounting Policies - Narrative (Details)
 12 Months Ended
Sep. 30, 2025
USD ($)
reporting_unit
numberOfPrincipalActivities
Sep. 30, 2024
USD ($)
Sep. 30, 2023
USD ($)
Apr. 16, 2024
USD ($)
Property, Plant, and Equipment        
Investment interest income   $ 15,900,000 $ 44,000,000.0  
Capitalized cloud computing arrangements $ 37,500,000 33,100,000    
Amortization expense for capitalized computer implementation costs $ 6,600,000 4,200,000 3,300,000  
Number of reporting units | reporting_unit 1      
Number of principal activities | numberOfPrincipalActivities 2      
Customer incentives $ 238,900,000 222,600,000 190,300,000  
Advertising 74,300,000 $ 69,400,000 $ 60,500,000  
Excise tax on share repurchases $ 16,400,000      
Transferred at Point in Time        
Property, Plant, and Equipment        
Percentage of revenue recognized 95.00%      
Minimum        
Property, Plant, and Equipment        
Lease term (less than one year, more than 20 years) 5 years      
Payment terms 30 days      
Expected timing of satisfaction for revenue performance obligations 10 years      
Maximum        
Property, Plant, and Equipment        
Lease term (less than one year, more than 20 years) 20 years      
Payment terms 60 days      
Expected timing of satisfaction for revenue performance obligations 15 years      
Buildings | Minimum        
Property, Plant, and Equipment        
Estimated useful life of property, plant and equipment 7 years      
Buildings | Maximum        
Property, Plant, and Equipment        
Estimated useful life of property, plant and equipment 20 years      
Machinery and equipment | Minimum        
Property, Plant, and Equipment        
Estimated useful life of property, plant and equipment 5 years      
Machinery and equipment | Maximum        
Property, Plant, and Equipment        
Estimated useful life of property, plant and equipment 7 years      
2030 Notes | Senior Notes        
Property, Plant, and Equipment        
Interest rate of debt       4.25%
Aggregate principal amount       $ 600,000,000.0