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Debt - Credit Agreement - Additional Information (Details) - USD ($) $ in Millions |  |  | 12 Months Ended |
--- | --- | --- | --- | ---
Oct. 02, 2023 | Jan. 03, 2023 | Sep. 30, 2024 | Sep. 30, 2023 | Sep. 30, 2022 | Jan. 31, 2023
Debt Instrument [Line Items] |  |  |  |  |  |
Financing cost current |  |  |  | $ 4.2 |  |
Deferred debt issuance cost |  |  |  | 9.2 |  |
Interest expense |  |  | $ 119.7 | 129.4 | $ 54.3 |
Periodic interest payment |  |  | 137.0 | $ 89.8 | $ 48.5 |
Amount borrowed from credit facility foreign subsidiary |  |  | $ 83.0 |  |  |
Interest rate during period |  |  | 5.40% | 4.90% | 3.40% |
Servicemax acquisition |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |
Interest related to the deferred acquisition payment |  |  |  | $ 30.0 |  |
Deferred acquisition payments | $ 650.0 | $ 650.0 |  | 650.0 |  |
Line of Credit |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |
Unused commitments under credit facility |  |  | $ 988.0 |  |  |
Amounts available for borrowing |  |  | 972.1 |  |  |
Investment limit in foreign subsidiaries |  |  | $ 100.0 |  |  |
Financing costs |  |  |  | $ 13.4 |  |
Line of Credit | Minimum |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |
Variable interest rate, length of time between updates |  |  | 30 days |  |  |
Credit facility commitment fees percentage |  |  | 0.175% |  |  |
Line of Credit | Maximum |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |
Variable interest rate, length of time between updates |  |  | 180 days |  |  |
Credit facility commitment fees percentage |  |  | 0.325% |  |  |
Secured Debt |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |
Credit facility amount |  |  |  |  |  | $ 500.0
Annual rate for borrowings outstanding |  |  | 6.90% |  |  |
Revolving Credit Facility |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |
Credit facility amount |  |  |  |  |  | $ 1,250.0

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