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Business Combination - Narrative (Details) - USD ($)									3 Months Ended				12 Months Ended
	Jul. 03, 2023	Apr. 03, 2023	Nov. 29, 2021	Jun. 17, 2021	Mar. 01, 2021	Feb. 22, 2021	Jan. 04, 2021	Sep. 28, 2020	Jul. 01, 2023	Apr. 01, 2023	Sep. 24, 2022	Mar. 26, 2022	Sep. 30, 2023	Sep. 24, 2022	Sep. 25, 2021	Aug. 23, 2020
Business Acquisition [Line Items]
Goodwill											$ 3,236,500,000		$ 3,281,300,000	$ 3,236,500,000
Increase in contingent consideration liability													(14,900,000)	(39,500,000)	$ (6,700,000)
Impairment of intangible assets and equipment									$ 174,800,000				44,300,000	27,700,000	0
Impairment charge									186,900,000
JW Medical
Business Acquisition [Line Items]
Total purchase price	$ 6,700,000
JW Medical | Customer Relationships
Business Acquisition [Line Items]
Weighted average amortization period	5 years
Normedi
Business Acquisition [Line Items]
Total purchase price		$ 7,700,000
Customer relationships		3,000,000
Contingent consideration		$ 1,100,000
Normedi | Customer Relationships
Business Acquisition [Line Items]
Weighted average amortization period		5 years
Bolder Surgical
Business Acquisition [Line Items]
Total purchase price			$ 160,100,000
Fair value, discount rate				16.00%
Developed technology			73,600,000
Customer relationships			21,700,000
Trade names			1,400,000
Goodwill			$ 68,800,000
Bolder Surgical | Developed Technology
Business Acquisition [Line Items]
Weighted average amortization period			10 years
Bolder Surgical | Customer Relationships
Business Acquisition [Line Items]
Weighted average amortization period			10 years
Bolder Surgical | Trade Names [Member]
Business Acquisition [Line Items]
Weighted average amortization period			10 years
Mobidiag Oy
Business Acquisition [Line Items]
Total purchase price				$ 729,600,000
Developed technology				285,000,000.0
Customer relationships				20,900,000
Trade names				20,000,000.0
Goodwill				$ 427,700,000
Impairment of intangible assets and equipment									10,500,000		27,700,000
Impairment charge									186,900,000
Mobidiag Oy | Equipment [Member]
Business Acquisition [Line Items]
Impairment charge									12,100,000
Mobidiag Oy | Minimum
Business Acquisition [Line Items]
Fair value, discount rate				15.00%
Mobidiag Oy | Maximum
Business Acquisition [Line Items]
Fair value, discount rate				19.00%
Mobidiag Oy | Developed Technology
Business Acquisition [Line Items]
Weighted average amortization period				11 years 8 months 12 days
Impairment charge									153,700,000		$ 27,700,000
Mobidiag Oy | Customer Relationships
Business Acquisition [Line Items]
Weighted average amortization period				9 years 1 month 6 days
Impairment charge									10,400,000
Mobidiag Oy | Trade Names [Member]
Business Acquisition [Line Items]
Weighted average amortization period				11 years 7 months 6 days
Impairment charge									$ 10,700,000
Biotheranostics
Business Acquisition [Line Items]
Total purchase price						$ 231,300,000
Fair value, discount rate						18.00%
Weighted average amortization period						10 years
Developed technology						$ 160,300,000
Trade names						2,100,000
Goodwill						$ 80,900,000
Diagenode
Business Acquisition [Line Items]
Total purchase price					$ 155,100,000
Weighted average amortization period					10 years
Developed technology					$ 69,800,000
Customer relationships					9,200,000
Goodwill					$ 83,500,000
Diagenode | Developed Technology
Business Acquisition [Line Items]
Fair value, discount rate					14.50%
Diagenode | Customer Relationships
Business Acquisition [Line Items]
Fair value, discount rate					13.50%
Somatex Medical Technologies
Business Acquisition [Line Items]
Total purchase price							$ 62,900,000
Developed technology							38,000,000
Customer relationships							1,200,000
Trade names							900,000
Goodwill							32,400,000
Net acquired tangible assets and liabilities							$ 9,600,000
Somatex Medical Technologies | Developed Technology
Business Acquisition [Line Items]
Weighted average amortization period					8 years
NXC Imaging
Business Acquisition [Line Items]
Total purchase price								$ 5,600,000
NXC Imaging | Customer Relationships
Business Acquisition [Line Items]
Weighted average amortization period								5 years
Acessa Health
Business Acquisition [Line Items]
Contingent consideration													900,000			$ 81,800,000
Increase in contingent consideration liability													$ (14,900,000)	$ (39,500,000)	$ (6,700,000)
Business Combination, Contingent Consideration, Payments										$ 7,600,000		$ 12,200,000

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