ACQUISITIONS AND INVESTMENTS - Additional Information (Detail) $ in Millions						1 Months Ended		12 Months Ended
	Dec. 01, 2021 USD ($)	Nov. 12, 2021 USD ($)	Jan. 02, 2021 USD ($)	Feb. 24, 2020 USD ($)	Mar. 08, 2019 USD ($)	Dec. 31, 2020 USD ($)	Jan. 31, 2019 USD ($)	Jan. 01, 2022 USD ($)	Jan. 02, 2021 USD ($)	Dec. 28, 2019 USD ($) business	Aug. 16, 2021 USD ($)
Business Acquisition [Line Items]
Gain on equity method investment								$ 68.0	$ 0.0	$ 0.0
Business acquisition, net of cash acquired								2,043.8	1,324.4	685.4
Goodwill acquired			$ 8,086.5					8,784.2	$ 8,086.5	$ 7,380.6
MTD
Business Acquisition [Line Items]
Percent of ownership interest acquired							20.00%
Payment to acquire equity method investment							$ 234.0
MTD
Business Acquisition [Line Items]
Percentage of voting interests acquired	80.00%
Total consideration	$ 1,904.7
Equity Method, Fair Value, Remeasurement	$ 295.1
Gain on equity method investment								68.0
Weighted average useful life assigned	15 years
Expected tax deductible amount of acquired goodwill											$ 0.6
Estimated purchase price	$ 1,500.0
Identifiable net assets acquired	1,468.0
Goodwill acquired	436.7
Deferred taxes	194.3
MTD | Customer relationships
Business Acquisition [Line Items]
Intangible assets	$ 450.0
Excel Industries
Business Acquisition [Line Items]
Total consideration		$ 373.6
Expected tax deductible amount of acquired goodwill		0.6
Identifiable net assets acquired		200.3
Finite-lived intangible assets acquired		203.5
Goodwill acquired		173.3
Working capital acquired		37.0
Deferred taxes		48.7
Excel Industries | Customer relationships
Business Acquisition [Line Items]
Finite-lived intangible assets acquired		$ 158.0
2021 Aquisitions
Business Acquisition [Line Items]
Expected tax deductible amount of acquired goodwill								44.5
Estimated purchase price								207.3
Identifiable net assets acquired								49.5
Goodwill acquired								157.8
Working capital acquired								$ 36.4
Consolidated Aerospace Manufacturing (CAM)
Business Acquisition [Line Items]
Total consideration				$ 1,336.5
Weighted average useful life assigned				20 years
Expected tax deductible amount of acquired goodwill				$ 569.8
Estimated purchase price				1,460.0
Business acquisition, net of cash acquired				1,300.0
Possible future contingent consideration payable (up to)				200.0
Fair value of contingent consideration as of acquisition date				155.3
Consideration paid						$ 100.0
Remaining fair value of contingent consideration			$ 55.3
Identifiable net assets acquired				859.5
Goodwill acquired				632.3
Deferred taxes				16.3
Consolidated Aerospace Manufacturing (CAM) | Customer relationships
Business Acquisition [Line Items]
Intangible assets				$ 565.0
Equipment Solution Attachments Group (IES)
Business Acquisition [Line Items]
Weighted average useful life assigned					14 years
Expected tax deductible amount of acquired goodwill					$ 2.4
Business acquisition, net of cash acquired					653.5
Identifiable net assets acquired					342.2
Finite-lived intangible assets acquired					304.0
Goodwill acquired					311.3
Working capital acquired					77.8
Deferred taxes					78.3
Intangible assets					$ 328.0
2019 Acquisitions
Business Acquisition [Line Items]
Weighted average useful life assigned										10 years
Business acquisition, net of cash acquired										$ 32.4
Number of businesses acquired during the period | business										2
Identifiable net assets acquired										$ 15.7
Finite-lived intangible assets acquired										4.4
Goodwill acquired										16.7
Working capital acquired										$ 6.3