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Basis of Presentation - Cash and Cash Equivalents (Details) - USD ($)
$ in Thousands
Sep. 30, 2025
Sep. 30, 2024
Deferred Income Tax Charge    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Derivative instruments, assets and liabilities $ (87,500)  
Fair Value, Inputs, Level 1    
Cash and Cash Equivalents [Abstract]    
Fair value of cash and cash equivalents 32,148 $ 34,174
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Fair value of cash and cash equivalents 32,148 34,174
Contingent considerations 0 0
Fair Value, Inputs, Level 1 | Deferred Compensation, Share-Based Payments    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other Deferred Compensation Arrangements, Liability, Current and Noncurrent 5,620 2,053
Fair Value, Inputs, Level 1 | Deferred Bonus and Profit Sharing Arrangement, Individual Contract, Type of Deferred Compensation [Domain]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Deferred Compensation Plan Assets 1,317 896
Fair Value, Inputs, Level 1 | Foreign Exchange Contract    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Derivative instruments, assets and liabilities 0 0
Fair Value, Inputs, Level 1 | Revolving Credit Facility    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Revolving loan 0 0
Fair Value, Inputs, Level 2    
Cash and Cash Equivalents [Abstract]    
Fair value of cash and cash equivalents 0 0
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Fair value of cash and cash equivalents 0 0
Long-Term Debt, Fair Value 371,250 393,750
Contingent considerations 0 0
Fair Value, Inputs, Level 2 | Deferred Income Tax Charge    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Derivative instruments, assets and liabilities 87,461 30,059
Fair Value, Inputs, Level 2 | Derivative Contracts    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Derivative instruments, assets and liabilities 15,223 14,199
Fair Value, Inputs, Level 2 | Revolving Credit Facility    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Revolving loan 0 75,038
Fair Value, Inputs, Level 3    
Cash and Cash Equivalents [Abstract]    
Fair value of cash and cash equivalents 0 0
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Fair value of cash and cash equivalents 0 0
Long-Term Debt, Fair Value 0 0
Contingent considerations 5,400 6,587
Fair Value, Inputs, Level 3 | Foreign Exchange Contract    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Derivative instruments, assets and liabilities 0 0
Fair Value, Inputs, Level 3 | Revolving Credit Facility    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Revolving loan $ 0 $ 0