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Summary of Significant Accounting Policies (Other Narrative) (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2019	Sep. 30, 2018	Sep. 30, 2017	Sep. 30, 2016
Research and Development Costs
Research and development expenses	$ 139.5	$ 135.6	$ 133.7
Income Taxes
Unrecognized Tax Benefits	9.6	6.2	4.5	$ 5.1
Valuation allowances on deferred tax assets	$ (45.0)	(80.2)
Derivative Instruments and Hedging Activity
Derivative term, generally (no greater than)	15 months
Dispositions
Proceeds on sale of business	$ 166.6	1.0	5.8
Gain on sale of perinatal data management system	$ (15.9)	$ (23.0)	$ 1.0
Minimum [Member]
Research and Development Costs
Useful life of intangible assets	1 year
Minimum [Member] \| Computer Software, Intangible Asset [Member]
Research and Development Costs
Useful life of intangible assets	3 years