Held For Sale, Divestitures and Acquisitions (Fair Values of Assets Acquired and Liabilities Assumed) (Details) - USD ($) $ in Millions	Jan. 01, 2022	Nov. 23, 2021	Oct. 04, 2021	Jan. 02, 2021	Dec. 28, 2019
Business Acquisition [Line Items]
Goodwill	$ 4,039.2			$ 1,518.2	$ 1,501.3
Merger Agreement
Business Acquisition [Line Items]
Cash and Cash Equivalents			$ 192.8
Trade Receivables			186.9
Inventories			262.5
Prepaid Expenses and Other Current Assets			21.0
Assets Held for Sale			1.4
Deferred Income Tax Benefits			8.8
Property, Plant and Equipment			412.3
Operating Lease Assets			46.4
Intangible Assets			1,831.0
Other Noncurrent Assets			12.3
Accounts Payable			(121.1)
Accrued Compensation and Benefits			(44.0)
Other Accrued Expenses			(55.7)
Current Operating Lease Liabilities			(8.1)
Current Maturities of Long-Term Debt			(2.5)
Long-Term Debt			(558.2)
Deferred Income Taxes			(508.2)
Pension and Other Post Retirement Benefits			(75.1)
Noncurrent Operating Lease Liabilities			(38.0)
Other Noncurrent Liabilities			(17.0)
Total Identifiable Net Assets			1,547.5
Goodwill			2,433.2
Noncontrolling Interests			(3.3)
Preliminary purchase price			$ 3,977.4
Arrowhead Systems, LLC
Business Acquisition [Line Items]
Cash and Cash Equivalents		$ 1.1
Trade Receivables		19.1
Inventories		12.8
Prepaid Expenses and Other Current Assets		7.6
Property, Plant and Equipment		3.7
Intangible Assets		160.0
Accounts Payable		(4.7)
Accrued Compensation and Benefits		(2.6)
Other Accrued Expenses		(25.0)
Total Identifiable Net Assets		172.0
Goodwill		143.6
Preliminary purchase price		315.6
Arrowhead Systems, LLC | Customer Relationships
Business Acquisition [Line Items]
Intangible Assets		124.0
Arrowhead Systems, LLC | Trademarks
Business Acquisition [Line Items]
Intangible Assets		18.0
Arrowhead Systems, LLC | Technology
Business Acquisition [Line Items]
Intangible Assets		$ 18.0