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Segments - Net Sales by Segment (Detail) - USD ($)
$ in Millions
12 Months Ended
Jan. 01, 2022
Jan. 02, 2021
Dec. 28, 2019
Segment Reporting Information [Line Items]      
Net sales $ 4,601.7 $ 3,942.2 $ 4,067.7
Operating earnings 1,123.5 880.5 962.3
Interest expense (53.1) (54.0) (49.0)
Other income (expense) – net 16.5 8.7 8.8
Earnings before income taxes and equity earnings 1,086.9 835.2 922.1
Commercial & Industrial Group      
Segment Reporting Information [Line Items]      
Net sales 1,406.3 1,234.6  
Snap-on Tools Group      
Segment Reporting Information [Line Items]      
Net sales 1,938.6 1,643.9  
Repair Systems  & Information Group      
Segment Reporting Information [Line Items]      
Net sales 1,503.1 1,238.2  
Financial Services      
Segment Reporting Information [Line Items]      
Net sales 349.7 349.7  
Operating Segments      
Segment Reporting Information [Line Items]      
Operating earnings 1,241.6 968.0 1,023.1
Operating Segments | Commercial & Industrial Group      
Segment Reporting Information [Line Items]      
Operating earnings 209.9 153.7 188.7
Operating Segments | Snap-on Tools Group      
Segment Reporting Information [Line Items]      
Operating earnings 411.1 267.7 245.8
Operating Segments | Repair Systems  & Information Group      
Segment Reporting Information [Line Items]      
Operating earnings 348.6 298.0 342.7
Operating Segments | Financial Services      
Segment Reporting Information [Line Items]      
Operating earnings 272.0 248.6 245.9
Intersegment eliminations      
Segment Reporting Information [Line Items]      
Net sales (596.0) (524.2)  
Corporate      
Segment Reporting Information [Line Items]      
Operating earnings (118.1) (87.5) (60.8)
Product And Services, Excluding Financial Services      
Segment Reporting Information [Line Items]      
Net sales 4,252.0 3,592.5 3,730.0
Operating earnings 851.5 631.9 716.4
Product And Services, Excluding Financial Services | Commercial & Industrial Group      
Segment Reporting Information [Line Items]      
Net sales 1,095.6 951.4  
Product And Services, Excluding Financial Services | Snap-on Tools Group      
Segment Reporting Information [Line Items]      
Net sales 1,938.6 1,643.9  
Product And Services, Excluding Financial Services | Repair Systems  & Information Group      
Segment Reporting Information [Line Items]      
Net sales 1,217.8 997.2  
Product And Services, Excluding Financial Services | Financial Services      
Segment Reporting Information [Line Items]      
Net sales 0.0 0.0  
Product And Services, Excluding Financial Services | Operating Segments      
Segment Reporting Information [Line Items]      
Net sales 4,848.0 4,116.7 4,293.1
Product And Services, Excluding Financial Services | Operating Segments | Commercial & Industrial Group      
Segment Reporting Information [Line Items]      
Net sales 1,406.3 1,234.6 1,345.7
Product And Services, Excluding Financial Services | Operating Segments | Snap-on Tools Group      
Segment Reporting Information [Line Items]      
Net sales 1,938.6 1,643.9 1,612.9
Product And Services, Excluding Financial Services | Operating Segments | Repair Systems  & Information Group      
Segment Reporting Information [Line Items]      
Net sales 1,503.1 1,238.2 1,334.5
Product And Services, Excluding Financial Services | Operating Segments | Financial Services      
Segment Reporting Information [Line Items]      
Net sales 0.0 0.0  
Product And Services, Excluding Financial Services | Intersegment eliminations      
Segment Reporting Information [Line Items]      
Net sales (596.0) (524.2) (563.1)
Product And Services, Excluding Financial Services | Intersegment eliminations | Commercial & Industrial Group      
Segment Reporting Information [Line Items]      
Net sales 310.7 283.2  
Product And Services, Excluding Financial Services | Intersegment eliminations | Snap-on Tools Group      
Segment Reporting Information [Line Items]      
Net sales 0.0 0.0  
Product And Services, Excluding Financial Services | Intersegment eliminations | Repair Systems  & Information Group      
Segment Reporting Information [Line Items]      
Net sales 285.3 241.0  
Product And Services, Excluding Financial Services | Intersegment eliminations | Financial Services      
Segment Reporting Information [Line Items]      
Net sales 0.0 0.0  
Financial Service      
Segment Reporting Information [Line Items]      
Net sales 349.7 349.7 337.7
Operating earnings 272.0 248.6 $ 245.9
Financial Service | Commercial & Industrial Group      
Segment Reporting Information [Line Items]      
Net sales 0.0 0.0  
Financial Service | Snap-on Tools Group      
Segment Reporting Information [Line Items]      
Net sales 0.0 0.0  
Financial Service | Repair Systems  & Information Group      
Segment Reporting Information [Line Items]      
Net sales 0.0 0.0  
Financial Service | Financial Services      
Segment Reporting Information [Line Items]      
Net sales $ 349.7 $ 349.7