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BUSINESS SEGMENTS AND GEOGRAPHIC AREAS - Business Segments (Detail) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Jan. 01, 2022
Oct. 02, 2021
Jul. 03, 2021
Apr. 03, 2021
Jan. 02, 2021
Sep. 26, 2020
Jun. 27, 2020
Mar. 28, 2020
Jan. 01, 2022
Jan. 02, 2021
Dec. 28, 2019
Segment Reporting Information [Line Items]                      
Net Sales $ 4,068.3 $ 3,865.4 $ 3,880.0 $ 3,803.5 $ 4,002.7 $ 3,488.1 $ 2,806.3 $ 2,760.6 $ 15,617.2 $ 13,057.7 $ 12,912.9
Corporate Overhead & Other                 (288.2) (264.0) (181.9)
Other, net                 (190.1) (217.8) (201.1)
(Loss) gain on sales of businesses                 (0.6) (13.5) 17.0
Restructuring charges                 (14.5) (73.8) (138.4)
Gain on equity method investment                 68.0 0.0 0.0
Loss on debt extinguishments                 0.0 46.9 17.9
Interest income                 9.8 17.5 51.9
Interest expense                 (185.4) (222.6) (282.2)
Earnings from continuing operations before income taxes and equity interest                 1,641.0 1,219.8 1,094.4
Capital and Software Expenditures                 519.1 348.1 424.7
Capital and Software Expenditures, Discontinued operations                 17.9 15.6 30.1
Depreciation and Amortization, Discontinued operations                 60.5 63.9 64.1
Depreciation and Amortization                 577.1 578.1 560.2
Total assets 3,183.4       3,148.1       3,183.4 3,148.1  
Segment Assets 28,180.0       23,566.3       28,180.0 23,566.3  
Operating Segments                      
Segment Reporting Information [Line Items]                      
Segment Profit                 2,242.0 2,040.9 1,847.0
Segment Assets 25,165.7       19,916.7       25,165.7 19,916.7  
Corporate Overhead & Other                      
Segment Reporting Information [Line Items]                      
Net Sales                 336.7 375.3 416.1
Capital and Software Expenditures                 3.3 2.3 3.3
Depreciation and Amortization                 3.6 5.1 5.9
Segment Assets (169.1)       501.5       (169.1) 501.5  
Tools & Storage | Operating Segments                      
Segment Reporting Information [Line Items]                      
Net Sales                 12,817.4 10,329.7 10,062.1
Segment Profit                 1,985.4 1,820.3 1,517.0
Capital and Software Expenditures                 374.8 228.1 300.8
Depreciation and Amortization                 311.8 309.5 330.3
Segment Assets 19,537.9       14,295.6       19,537.9 14,295.6  
Industrial | Operating Segments                      
Segment Reporting Information [Line Items]                      
Net Sales                 2,463.1 2,352.7 2,434.7
Segment Profit                 256.6 220.6 330.0
Capital and Software Expenditures                 123.1 102.1 90.5
Depreciation and Amortization                 201.2 199.6 $ 159.9
Segment Assets $ 5,627.8       $ 5,621.1       $ 5,627.8 $ 5,621.1