Acquisitions (Schedule of Fair Value of Assets Acquired and Liabilities Assumed) (Details) - USD ($) $ in Millions			12 Months Ended
	Feb. 14, 2017	Sep. 08, 2015	Sep. 30, 2017	Sep. 30, 2016	Sep. 30, 2015
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract]
Goodwill			$ 1,759.6	$ 1,584.4	$ 1,610.5
Business Combination, Consideration Transferred, Including Equity Interest in Acquiree Held Prior to Combination [Abstract]
Fair value of common stock issued			0.0	0.0	416.3
Cash payment, net of cash acquired			$ 311.4	$ 25.3	$ 1,638.7
Mortara [Member]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract]
Trade receivables	$ 16.4
Inventory	22.1
Other current assets	2.8
Property, plant and equipment	18.2
Goodwill	164.8
Other noncurrent assets	4.7
Current liabilities	(22.5)
Noncurrent liabilities	(1.3)
Total purchase price, net of cash acquired	311.2
Business Combination, Consideration Transferred, Including Equity Interest in Acquiree Held Prior to Combination [Abstract]
Cash payment, net of cash acquired	311.2
Mortara [Member] | Trade names [Member]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract]
Intangibles (finite-lived)	$ 15.8
Finite-Lived Intangible Assets, Net [Abstract]
Weighted-average useful life	7 years
Mortara [Member] | Customer relationships [Member]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract]
Intangibles (finite-lived)	$ 37.9
Finite-Lived Intangible Assets, Net [Abstract]
Weighted-average useful life	8 years
Mortara [Member] | Developed technology [Member]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract]
Intangibles (finite-lived)	$ 52.3
Finite-Lived Intangible Assets, Net [Abstract]
Weighted-average useful life	7 years
Welch Allyn Holdings, Inc. [Member]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract]
Trade receivables		$ 62.9
Inventory		110.5
Other current assets		53.8
Property, plant and equipment		91.5
Goodwill		1,179.8
Other noncurrent assets		26.5
Current liabilities		(166.1)
Noncurrent deferred income taxes		(309.0)
Noncurrent liabilities		(24.8)
Total purchase price, net of cash acquired		2,049.4
Business Combination, Consideration Transferred, Including Equity Interest in Acquiree Held Prior to Combination [Abstract]
Fair value of common stock issued		416.3
Cash payment, net of cash acquired		1,633.1
Total consideration		2,049.4
Welch Allyn Holdings, Inc. [Member] | Trade names [Member]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract]
Trade names		434.0
Welch Allyn Holdings, Inc. [Member] | Customer relationships [Member]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract]
Intangibles (finite-lived)		$ 516.8
Finite-Lived Intangible Assets, Net [Abstract]
Weighted-average useful life		12 years
Welch Allyn Holdings, Inc. [Member] | Developed technology [Member]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract]
Intangibles (finite-lived)		$ 54.0
Finite-Lived Intangible Assets, Net [Abstract]
Weighted-average useful life		7 years
Welch Allyn Holdings, Inc. [Member] | Other intangibles [Member]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract]
Intangibles (finite-lived)		$ 19.5