Debt - Credit Agreement - Additional Information (Details) - USD ($) $ in Millions		3 Months Ended		6 Months Ended
	Oct. 02, 2023	Mar. 31, 2024	Mar. 31, 2023	Mar. 31, 2024	Mar. 31, 2023	Jan. 31, 2023
Debt Instrument [Line Items]
Interest rate during period		5.50%	5.20%	5.60%	4.70%
Interest expense		$ 31.6	$ 41.5	$ 66.9	$ 57.9
Servicemax acquisition
Debt Instrument [Line Items]
Interest related to the deferred acquisition payment		10.0		10.0
Deferred acquisition payments	$ 650.0			650.0
Line of Credit
Debt Instrument [Line Items]
Unused commitments under credit facility		736.0		736.0
Amount borrowed from credit facility foreign subsidiary		0.0		0.0
Amounts available for borrowing		$ 719.7		$ 719.7
Line of Credit | Minimum
Debt Instrument [Line Items]
Credit facility commitment fees percentage				0.175%
Line of Credit | Maximum
Debt Instrument [Line Items]
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%		6.90%
Revolving Credit Facility
Debt Instrument [Line Items]
Credit facility amount						$ 1,250.0