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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 |  |  |  |  |  |

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