Debt - Credit Agreement - Additional Information (Details) $ in Thousands, € in Millions					1 Months Ended	12 Months Ended
	Oct. 04, 2023 USD ($)	Oct. 04, 2023 EUR (€)	Oct. 02, 2023 USD ($)	Jan. 03, 2023 USD ($)	Oct. 31, 2023 USD ($)	Sep. 30, 2023 USD ($)	Sep. 30, 2022 USD ($)	Sep. 30, 2021 USD ($)	Jan. 31, 2023 USD ($)
Debt Instrument [Line Items]
Borrowings under credit facility						$ 1,540,000	$ 264,000	$ 600,000
Financing cost current						4,200
Deferred debt issuance cost						9,200
Interest expense						129,400	54,300	50,500
Periodic interest payment						$ 89,800	$ 48,500	$ 45,200
Interest rate during period						4.90%	3.40%	3.30%
ServiceMax
Debt Instrument [Line Items]
Interest related to the deferred acquisition payment						$ 30,000
Deferred Acquisition Payments			$ 650,000	$ 650,000		650,000
ServiceMax | Subsequent Event
Debt Instrument [Line Items]
Borrowings under credit facility					$ 650,000
Deferred Acquisition Payments					650,000
Pure Systems | Subsequent Event
Debt Instrument [Line Items]
Borrowings under credit facility	$ 90,000	€ 85
Line of Credit
Debt Instrument [Line Items]
Unused commitments under credit facility						1,048,000
Amounts available for borrowing						384,600
Investment limit in foreign subsidiaries						100,000
Financing costs						$ 13,400
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									$ 500,000
Interest rate at period end						7.18%
Revolving Credit Facility
Debt Instrument [Line Items]
Credit facility amount									$ 1,250,000
Revolving Credit Facility | Subsequent Event
Debt Instrument [Line Items]
Borrowings under credit facility					$ 739,800
Revolving Credit Facility | ServiceMax
Debt Instrument [Line Items]
Borrowings under credit facility				$ 630,000