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BUSINESS SEGMENTS AND GEOGRAPHIC AREAS - Business Segments (Detail) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Jan. 02, 2021
Sep. 26, 2020
Jun. 27, 2020
Mar. 28, 2020
Dec. 28, 2019
Sep. 28, 2019
Jun. 29, 2019
Mar. 30, 2019
Jan. 02, 2021
Dec. 28, 2019
Dec. 29, 2018
Segment Reporting Information [Line Items]                      
Net Sales $ 4,407.6 $ 3,850.2 $ 3,147.4 $ 3,129.4 $ 3,714.2 $ 3,633.1 $ 3,761.3 $ 3,333.6 $ 14,534.6 $ 14,442.2 $ 13,982.4
Segment Profit                 2,176.0 1,994.0 1,882.2
Corporate overhead                 (297.7) (229.5) (202.8)
Other-net                 (262.8) (249.1) (287.0)
Gain (Loss) on Disposition of Business                 (13.5) 17.0 (0.8)
Restructuring charges and asset impairments                 (83.0) (154.1) (160.3)
Loss on debt extinguishments                 46.9 17.9 0.0
Interest income                 18.0 53.9 68.7
Interest expense                 (223.1) (284.3) (277.9)
Earnings before income taxes and equity interest                 1,267.0 1,130.0 1,022.1
Capital and Software Expenditures                 348.1 424.7 492.1
Depreciation and amortization of property, plant and equipment                 376.5 372.8 331.2
Total Assets (23,566.3)       (20,596.6)       (23,566.3) (20,596.6) (19,408.0)
Construction And Do It Yourself                      
Segment Reporting Information [Line Items]                      
Net Sales                 10,329.7 10,062.1 9,814.0
Segment Profit                 1,841.7 1,533.3 1,393.1
Capital and Software Expenditures                 225.6 297.2 353.7
Depreciation And Amortization excluding Discontinued Operations                 308.5 327.8 300.1
Security                      
Segment Reporting Information [Line Items]                      
Capital and Software Expenditures                 20.9 37.9 42.6
Depreciation And Amortization excluding Discontinued Operations                 70.2 73.1 80.5
Total Segments excluding Non Op                      
Segment Reporting Information [Line Items]                      
Depreciation and amortization of property, plant and equipment                 578.1 560.2 506.5
Industrial                      
Segment Reporting Information [Line Items]                      
Capital and Software Expenditures                 101.6 89.6 95.8
Depreciation And Amortization excluding Discontinued Operations                 199.4 159.3 125.9
Corporate Assets                      
Segment Reporting Information [Line Items]                      
Total Assets 156.5       (701.4)       156.5 (701.4) (748.7)
Continuing Operations                      
Segment Reporting Information [Line Items]                      
Total Assets (23,409.8)       (21,298.0)       (23,409.8) (21,298.0) (20,156.7)
Continuing Operations | Construction And Do It Yourself                      
Segment Reporting Information [Line Items]                      
Total Assets (14,294.9)       (13,642.4)       (14,294.9) (13,642.4) (13,122.6)
Continuing Operations | Security                      
Segment Reporting Information [Line Items]                      
Net Sales                 1,852.2 1,945.4 1,980.6
Segment Profit                 108.7 126.6 169.3
Total Assets (5,621.4)       (4,207.0)       (5,621.4) (4,207.0) (3,620.5)
Continuing Operations | Industrial                      
Segment Reporting Information [Line Items]                      
Net Sales                 2,352.7 2,434.7 2,187.8
Segment Profit                 225.6 334.1 319.8
Total Assets $ (3,493.5)       $ (3,448.6)       $ (3,493.5) $ (3,448.6) $ (3,413.6)