STATEMENTS OF CONSOLIDATED INCOME - USD ($) shares in Thousands, $ in Millions	12 Months Ended
	Sep. 30, 2020	Sep. 30, 2019	Sep. 30, 2018
Income Statement [Abstract]
Product sales and service	$ 2,571.2	$ 2,615.0	$ 2,469.6
Rental revenue	309.8	292.3	378.4
Revenues	2,881.0	2,907.3	2,848.0
Cost of Net Revenue
Total cost of net revenue (excludes acquisition-related intangible asset amortization)	1,259.9	1,330.7	1,274.1
Rental expenses	146.0	151.6	179.7
Cost of Revenue	1,405.9	1,482.3	1,453.8
Research and development expenses	136.5	139.5	135.6
Selling and administrative expenses	820.4	941.0	891.6
Acquisition-related intangible asset amortization	109.0	122.4	106.9
Special charges	41.5	28.4	77.6
Operating Profit	367.7	316.1	289.4
Interest expense	(74.0)	(89.6)	(95.0)
Gain (Loss) on Extinguishment of Debt, not included in Net Income		(3.3)
Loss on extinguishment of debt	(15.6)	(3.0)	0.0
Investment income (expense) and other, net	(6.9)	(14.6)	2.8
Income Before Income Taxes	271.2	208.6	197.2
Income tax expense (benefit)	48.2	56.4	(55.2)
Net Income	223.0	152.2	252.4
Less: Net loss attributable to noncontrolling interests			(7.4)
Net Income Attributable to Common Shareholders	$ 223.0	$ 152.2	$ 252.4
Net Income Attributable to Common Shareholders per Common Share - Basic (usd per share)	$ 3.35	$ 2.28	$ 3.81
Diluted net income attributable to common shareholders per common share	$ 3.32	$ 2.25	$ 3.73
Average Common Shares Outstanding - Basic (in shares)	66,631	66,772	66,234
Average Common Shares Outstanding - Diluted (in shares)	67,212	67,660	67,612