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Business Combinations - Narrative (Details) $ / shares in Units, $ in Millions							3 Months Ended				6 Months Ended	12 Months Ended
	Oct. 01, 2019 USD ($)	Oct. 01, 2018 USD ($)	Jul. 31, 2018 USD ($)	Dec. 11, 2017 USD ($)	Apr. 07, 2017 USD ($)	Mar. 22, 2017 USD ($) project $ / shares	Sep. 28, 2019 USD ($)	Mar. 30, 2019 USD ($)	Mar. 31, 2018 USD ($)	Sep. 30, 2017 USD ($)	Sep. 30, 2017 USD ($)	Sep. 28, 2019 USD ($)	Sep. 29, 2018 USD ($)	Sep. 30, 2017 USD ($)
Business Acquisition [Line Items]
Goodwill							$ 2,563.7					$ 2,563.7	$ 2,533.2
Goodwill impairment									$ 685.7			0.0	685.7	$ 0.0
Payment of contingent holdbacks												6.5	0.0	$ 0.0
Cynosure
Business Acquisition [Line Items]
Purchase price (in dollars per share) \| $ / shares						$ 66.00
Total purchase price						$ 1,660.0
Direct transaction costs						18.8
Goodwill						$ 685.7
Goodwill impairment									685.7
Revenue											$ 207.5
Pre-tax loss											$ 96.4
Cynosure \| Other intangible assets \| Measurement Input, Discount Rate \| Minimum
Business Acquisition [Line Items]
Fair value discount rate (percent)						11.00%
Cynosure \| Other intangible assets \| Measurement Input, Discount Rate \| Maximum
Business Acquisition [Line Items]
Fair value discount rate (percent)						12.00%
Cynosure \| In-process research and development
Business Acquisition [Line Items]
Intangible assets						$ 107.0
Number of projects related to IPR&D acquired \| project						3
Estimated costs to complete						$ 18.0
Cynosure \| In-process research and development \| Measurement Input, Discount Rate \| Minimum
Business Acquisition [Line Items]
Fair value discount rate (percent)						14.00%
Cynosure \| In-process research and development \| Measurement Input, Discount Rate \| Maximum
Business Acquisition [Line Items]
Fair value discount rate (percent)						22.00%
Cynosure \| Developed technology
Business Acquisition [Line Items]
Intangible asset impairment charges							238.6	$ 685.4
Project fair value										$ 61.0
Impairment charge									$ 46.0
Weighted average amortization period						11 years 9 months 18 days
Cynosure \| Distribution agreement
Business Acquisition [Line Items]
Weighted average amortization period						8 years
Cynosure \| Customer relationships
Business Acquisition [Line Items]
Weighted average amortization period						7 years 8 months 12 days
Cynosure \| Trade names
Business Acquisition [Line Items]
Weighted average amortization period						8 years 10 months 24 days
Medicor Medical Supply
Business Acquisition [Line Items]
Total purchase price					$ 19.0
Intangible assets					5.4
Goodwill					8.9
Tangible assets and liabilities, net					$ 4.7
Weighted average amortization period					7 years 8 months 12 days
Acquisition price working capital adjustment					$ 2.0
Medicor Medical Supply \| Holdback
Business Acquisition [Line Items]
Contingent consideration					$ 1.9
Payment period for contingent consideration					2 years
Emsor
Business Acquisition [Line Items]
Total purchase price				$ 16.3
Intangible assets				4.6
Goodwill				5.7
Tangible assets and liabilities, net				6.0
Contingent consideration				4.9
Emsor \| Holdback
Business Acquisition [Line Items]
Contingent consideration				$ 0.5
Payment period for contingent consideration				18 months
Faxitron
Business Acquisition [Line Items]
Total purchase price			$ 89.5
Intangible assets													$ 53.4
Goodwill			45.6
Contingent consideration			2.9
Increase in contingent consideration liability							$ 1.7
Faxitron \| Holdback
Business Acquisition [Line Items]
Contingent consideration			$ 11.7
Payment period for contingent consideration			1 year
Payment of contingent holdbacks												6.5
Contingent holdback withheld under indemnification provisions												$ 5.2
Faxitron \| In-process research and development \| Measurement Input, Discount Rate \| Minimum
Business Acquisition [Line Items]
Fair value discount rate (percent)			17.00%
Faxitron \| In-process research and development \| Measurement Input, Discount Rate \| Maximum
Business Acquisition [Line Items]
Fair value discount rate (percent)			19.00%
Faxitron \| Customer relationships
Business Acquisition [Line Items]
Weighted average amortization period			9 years
Faxitron \| Trade names
Business Acquisition [Line Items]
Weighted average amortization period			7 years
Focal Therapeutics
Business Acquisition [Line Items]
Total purchase price		$ 120.1
Goodwill		31.1
Focal Therapeutics \| Holdback
Business Acquisition [Line Items]
Contingent consideration		14.0
Payment of contingent consideration								$ 1.5
Focal Therapeutics \| Holdback \| Subsequent Event
Business Acquisition [Line Items]
Payment of contingent consideration	$ 12.5
Focal Therapeutics \| In-process research and development
Business Acquisition [Line Items]
Intangible assets		$ 11.4
Focal Therapeutics \| In-process research and development \| Measurement Input, Discount Rate \| Minimum
Business Acquisition [Line Items]
Fair value discount rate (percent)		15.50%
Focal Therapeutics \| In-process research and development \| Measurement Input, Discount Rate \| Maximum
Business Acquisition [Line Items]
Fair value discount rate (percent)		16.50%
Focal Therapeutics \| Developed technology
Business Acquisition [Line Items]
Intangible assets		$ 83.1
Weighted average amortization period		11 years
Focal Therapeutics \| Trade names
Business Acquisition [Line Items]
Intangible assets		$ 2.7
Weighted average amortization period		13 years