ACQUISITIONS AND INVESTMENTS - Estimated Fair Values of Major Assets Acquired and Liabilities Assumed (Detail) - USD ($) $ in Millions	Dec. 01, 2021	Feb. 24, 2020	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Business Acquisition [Line Items]
Goodwill			$ 8,784.2	$ 8,086.5	$ 7,380.6
MTD
Business Acquisition [Line Items]
Cash and cash equivalents	$ 111.6
Accounts receivable, net	272.6
Inventories, net	900.7		900.7
Prepaid expenses and other assets	97.7
Property, plant and equipment	223.5
Other assets	36.8
Accounts payable	(391.8)
Accrued expenses	(253.6)
Deferred revenue	(0.9)
Long-term debt	(103.0)		$ (103.0)
Deferred taxes	(194.3)
Other liabilities	(71.3)
Total identifiable net assets	1,468.0
Goodwill	436.7
Total consideration	1,904.7
MTD | Trade names
Business Acquisition [Line Items]
Intangible assets	390.0
MTD | Customer relationships
Business Acquisition [Line Items]
Intangible assets	$ 450.0
Consolidated Aerospace Manufacturing (CAM)
Business Acquisition [Line Items]
Cash and cash equivalents		$ 35.8
Accounts receivable, net		48.3
Inventories, net		124.3
Prepaid expenses and other assets		2.6
Property, plant and equipment		127.9
Accounts payable		(25.9)
Accrued expenses		(26.9)
Deferred taxes		(16.3)
Other liabilities		(0.3)
Total identifiable net assets		859.5
Goodwill		632.3
Contingent consideration		(155.3)
Total consideration		1,336.5
Consolidated Aerospace Manufacturing (CAM) | Trade names
Business Acquisition [Line Items]
Intangible assets		25.0
Consolidated Aerospace Manufacturing (CAM) | Customer relationships
Business Acquisition [Line Items]
Intangible assets		$ 565.0