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Goodwill and Other Intangible Assets - Narrative (Details) - USD ($)
3 Months Ended 6 Months Ended
Dec. 28, 2018
Mar. 29, 2019
Mar. 30, 2018
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]      
Amortization of intangible assets   $ 59,100,000 $ 51,800,000
Healthcare Technologies [Member] | Disposal Group, Disposed of by Sale, Not Discontinued Operations      
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]      
Goodwill written off related to divestiture of HCT $ 87,000