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Fair Value Measurements - Schedule of financial assets and liabilities (Details)
3 Months Ended
Dec. 31, 2025
USD ($)
Dec. 31, 2024
USD ($)
Sep. 30, 2025
USD ($)
Jul. 09, 2025
EUR (€)
Sep. 30, 2024
USD ($)
Feb. 14, 2024
USD ($)
Jun. 21, 2023
USD ($)
Jun. 08, 2022
USD ($)
Mar. 03, 2021
USD ($)
Assets:                  
Cash and cash equivalents $ 173,100,000                
Receivables, Fair Value Disclosure 4,700,000 $ 5,800,000 $ 3,700,000   $ 6,700,000        
Restricted Cash 600,000   600,000            
Disposal Group, Including Discontinued Operation, Cash and Cash Equivalents 24,600,000   26,000,000.0            
Investments in rabbi trust 6,900,000   6,200,000            
Derivative instruments 12,400,000   12,500,000            
Liabilities:                  
Derivative instruments 82,800,000   81,300,000            
Interest expense, net 20,200,000 $ 25,100,000              
Reported Value Measurement                  
Assets:                  
Receivables, Fair Value Disclosure 4,700,000   3,700,000            
Liabilities:                  
Business Combination, Contingent Consideration, Liability 12,300,000   14,200,000            
Twenty Twenty Four Senior Unsecured Notes Due February Twenty Twenty Nine                  
Liabilities:                  
Debt instrument, face amount           $ 500,000,000      
Senior Unsecured Debt, 2021 Notes, Three Hundred Fifty Million                  
Liabilities:                  
Debt instrument, face amount                 $ 350,000,000
Level 1                  
Assets:                  
Cash and cash equivalents 173,100,000   164,800,000            
Receivables, Fair Value Disclosure 0   0            
Restricted Cash 600,000   600,000            
Disposal Group, Including Discontinued Operation, Cash and Cash Equivalents 24,600,000   26,000,000.0            
Investments in rabbi trust 6,900,000   6,200,000            
Derivative instruments 0   0            
Liabilities:                  
Derivative instruments 0   0            
Business Combination, Contingent Consideration, Liability 0   0            
Level 2                  
Assets:                  
Cash and cash equivalents 0   0            
Receivables, Fair Value Disclosure 4,700,000   3,700,000            
Restricted Cash 0   0            
Disposal Group, Including Discontinued Operation, Cash and Cash Equivalents 0   0            
Investments in rabbi trust 0   0            
Derivative instruments 12,400,000   12,500,000            
Liabilities:                  
Derivative instruments 82,800,000   81,300,000            
Business Combination, Contingent Consideration, Liability 0   0            
Level 3                  
Assets:                  
Cash and cash equivalents 0   0            
Receivables, Fair Value Disclosure 0   0            
Restricted Cash 0   0            
Disposal Group, Including Discontinued Operation, Cash and Cash Equivalents 0   0            
Investments in rabbi trust 0   0            
Derivative instruments 0   0            
Liabilities:                  
Derivative instruments 0   0            
Business Combination, Contingent Consideration, Liability 12,300,000   14,200,000            
$1,000 revolving credit facility (excluding outstanding letters of credit)                  
Liabilities:                  
Debt instruments 283,500,000   225,000,000.0            
$1,000 revolving credit facility (excluding outstanding letters of credit) | $175 term loan                  
Liabilities:                  
Long-Term Line of Credit             $ 175,000,000    
$1,000 revolving credit facility (excluding outstanding letters of credit) | 240 Euro Term Loan                  
Liabilities:                  
Long-Term Line of Credit | €       € 240,000,000          
$1,000 revolving credit facility (excluding outstanding letters of credit) | $175 term loan | $175 term loan                  
Liabilities:                  
Debt Instrument, Delayed Draw, Amount               $ 175,000,000  
$1,000 revolving credit facility (excluding outstanding letters of credit) | Level 1                  
Liabilities:                  
Debt instruments 0   0            
$1,000 revolving credit facility (excluding outstanding letters of credit) | Level 2                  
Liabilities:                  
Debt instruments 283,500,000   225,000,000.0            
$1,000 revolving credit facility (excluding outstanding letters of credit) | Level 3                  
Liabilities:                  
Debt instruments 0   0            
$175 term loan                  
Liabilities:                  
Debt instruments     175,000,000.0            
$175 term loan | Level 1                  
Liabilities:                  
Debt instruments 0   0            
$175 term loan | Level 2                  
Liabilities:                  
Debt instruments     175,000,000.0            
$175 term loan | Level 3                  
Liabilities:                  
Debt instruments 0   0            
2021 Notes | Level 2                  
Liabilities:                  
Debt instruments 0   0            
2021 Notes | Level 3                  
Liabilities:                  
Debt instruments 0   0            
2019 Notes                  
Liabilities:                  
Debt instruments 500,000,000.0   500,000,000.0            
2019 Notes | Level 1                  
Liabilities:                  
Debt instruments 512,200,000   513,400,000            
2019 Notes | Level 2                  
Liabilities:                  
Debt instruments 0   0            
2019 Notes | Level 3                  
Liabilities:                  
Debt instruments 0   0            
$175M Term Loan                  
Liabilities:                  
Debt instruments 172,800,000                
$175M Term Loan | Level 2                  
Liabilities:                  
Debt instruments 172,800,000                
Euro Term Loans                  
Liabilities:                  
Debt instruments 278,700,000                
Senior Unsecured Debt, 2021 Notes, Three Hundred Fifty Million                  
Liabilities:                  
Debt instruments 350,000,000.0   350,000,000.0            
Senior Unsecured Debt, 2021 Notes, Three Hundred Fifty Million | Level 1                  
Liabilities:                  
Debt instruments 350,600,000   329,900,000            
240 Euro Term Loan                  
Liabilities:                  
Debt instruments     281,300,000            
240 Euro Term Loan | Level 1                  
Liabilities:                  
Debt instruments 0   0            
240 Euro Term Loan | Level 2                  
Liabilities:                  
Debt instruments 278,700,000   281,300,000            
240 Euro Term Loan | Level 3                  
Liabilities:                  
Debt instruments $ 0   $ 0