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Segments - Capital Expenditures, Depreciation and Amortization (Detail) - USD ($)
$ in Millions
12 Months Ended
Jan. 01, 2022
Jan. 02, 2021
Dec. 28, 2019
Segment Reporting Information [Line Items]      
Capital expenditures $ 70.1 $ 65.6 $ 99.4
Depreciation and amortization 104.8 96.7 92.4
Operating Segments      
Segment Reporting Information [Line Items]      
Capital expenditures 67.6 60.0 96.3
Depreciation and amortization 101.2 93.1 88.9
Operating Segments | Commercial & Industrial Group      
Segment Reporting Information [Line Items]      
Capital expenditures 24.3 20.3 30.1
Depreciation and amortization 28.2 25.1 23.5
Operating Segments | Snap-on Tools Group      
Segment Reporting Information [Line Items]      
Capital expenditures 27.1 24.2 42.7
Depreciation and amortization 31.2 32.7 31.7
Operating Segments | Repair Systems  & Information Group      
Segment Reporting Information [Line Items]      
Capital expenditures 15.4 14.7 22.7
Depreciation and amortization 40.9 34.6 33.0
Operating Segments | Financial Services      
Segment Reporting Information [Line Items]      
Capital expenditures 0.8 0.8 0.8
Depreciation and amortization 0.9 0.7 0.7
Corporate      
Segment Reporting Information [Line Items]      
Capital expenditures 2.5 5.6 3.1
Depreciation and amortization $ 3.6 $ 3.6 $ 3.5