Debt - Credit Agreement - Additional Information (Details) - USD ($) $ in Millions			12 Months Ended
	Oct. 02, 2023	Jan. 03, 2023	Sep. 30, 2025	Sep. 30, 2024	Sep. 30, 2023	Jan. 31, 2023
Debt Instrument [Line Items]
Financing cost current					$ 4.2
Deferred debt issuance cost					9.2
Interest expense			$ 77.0	$ 119.7	129.4
Periodic interest payment			77.8	$ 137.0	$ 89.8
Amount borrowed from credit facility foreign subsidiary			$ 96.3
Interest rate during period			4.90%	5.40%	4.90%
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			$ 1,018.8
Amounts available for borrowing			1,001.7
Investment limit in foreign subsidiaries			100.0
Financing costs			$ 1.2		$ 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			5.60%
Revolving Credit Facility
Debt Instrument [Line Items]
Credit facility amount						$ 1,250.0