Supplemental Balance Sheet Information - Schedule of supplemental balance sheet information (Details) - USD ($) $ in Millions	Dec. 31, 2023	Sep. 30, 2023	Dec. 31, 2022	Sep. 30, 2022
Balance Sheet Related Disclosures [Abstract]
Allowance for credit losses	$ 10.4	$ 10.1
Warranty reserves	37.0	35.8
Accumulated depreciation on property, plant, and equipment	243.0	226.7
Inventories, net:
Raw materials and components	295.4	285.2
Work in process	129.9	135.0
Finished goods	182.2	172.4
Total inventories, net	607.5	592.6
Accrued Income Taxes, Current	76.5	72.8
Additional Other Current Liabilities	239.7	258.9
Other current liabilities	316.2	331.7
Cash and cash equivalents	198.4		$ 193.9
Disposal Group, Including Discontinued Operation, Cash and Cash Equivalents	0.0		0.9
Restricted Cash and Cash Equivalents	1.2		1.0
Cash, Cash Equivalents, Restricted Cash and Restricted Cash Equivalents	$ 199.6	$ 250.2	$ 195.8	$ 237.6