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BUSINESS SEGMENTS AND GEOGRAPHIC AREAS - Business Segments (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Dec. 31, 2022	Oct. 01, 2022	Jul. 02, 2022	Apr. 02, 2022	Jan. 01, 2022	Oct. 02, 2021	Jul. 03, 2021	Apr. 03, 2021	Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021
Segment Reporting Information [Line Items]
Net Sales	$ 3,986.8	$ 4,119.6	$ 4,393.0	$ 4,448.0	$ 3,981.9	$ 3,779.7	$ 3,798.9	$ 3,720.8	$ 16,947.4	$ 15,281.3	$ 12,750.0
Corporate Overhead & Other									(294.0)	(342.9)	(302.1)
Other, net									(274.8)	(189.5)	(215.7)
Loss on sales of businesses									(8.4)	(0.6)	(13.5)
Restructuring charges									(140.8)	(14.5)	(73.8)
Gain on equity method investment									0.0	68.0	0.0
Asset impairment charge									(168.4)	0.0	0.0
Loss on debt extinguishment									0.0	0.0	(46.9)
Interest income									54.7	9.8	17.5
Interest expense									(338.5)	(185.4)	(222.7)
Earnings from continuing operations before income taxes and equity interest									37.9	1,586.9	1,183.7
Capital and Software Expenditures									530.4	519.1	348.1
Capital and software expenditures, discontinued operations									6.3	20.0	17.1
Depreciation and amortization, discontinued operations									0.4	62.8	66.6
Depreciation and Amortization									572.2	577.1	578.1
Total assets	0.0				3,505.4				0.0	3,505.4
Segment Assets	24,963.3				28,180.0				24,963.3	28,180.0
Operating Segments
Segment Reporting Information [Line Items]
Segment Profit									1,208.1	2,242.0	2,040.9
Segment Assets	25,486.8				25,165.7				25,486.8	25,165.7
Corporate Overhead & Other
Segment Reporting Information [Line Items]
Net Sales									0.3	0.8	67.6
Capital and Software Expenditures									0.0	0.0	0.2
Depreciation and Amortization									0.0	0.0	0.3
Segment Assets	(523.5)				(491.1)				(523.5)	(491.1)
Tools & Outdoor | Operating Segments
Segment Reporting Information [Line Items]
Net Sales									14,423.7	12,817.4	10,329.7
Segment Profit									971.9	1,985.4	1,820.3
Capital and Software Expenditures									438.5	375.8	228.6
Depreciation and Amortization									387.6	312.9	311.2
Segment Assets	20,202.0				19,537.9				20,202.0	19,537.9
Industrial | Operating Segments
Segment Reporting Information [Line Items]
Net Sales									2,523.4	2,463.1	2,352.7
Segment Profit									236.2	256.6	220.6
Capital and Software Expenditures									85.6	123.3	102.2
Depreciation and Amortization									184.2	201.4	$ 200.0
Segment Assets	$ 5,284.8				$ 5,627.8				$ 5,284.8	$ 5,627.8

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