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Segments - Net Sales by Segment (Detail) - USD ($)
$ in Millions
 12 Months Ended
Dec. 30, 2023
Dec. 31, 2022
Jan. 01, 2022
Segment Reporting Information [Line Items]      
Net sales $ 5,108.3 $ 4,842.5 $ 4,601.7
Operating earnings 1,310.4 1,207.2 1,123.5
Interest expense (49.9) (47.1) (53.1)
Other income (expense) – net 67.5 42.5 16.5
Earnings before income taxes and equity earnings 1,328.0 1,202.6 1,086.9
Operating Segments      
Segment Reporting Information [Line Items]      
Operating earnings 1,423.6 1,315.6 1,241.6
Operating Segments | Commercial & Industrial Group      
Segment Reporting Information [Line Items]      
Net sales 1,458.3 1,399.2  
Operating earnings 226.1 197.6 209.9
Operating Segments | Snap-on Tools Group      
Segment Reporting Information [Line Items]      
Net sales 2,088.8 2,072.0  
Operating earnings 493.8 458.7 411.1
Operating Segments | Repair Systems  & Information Group      
Segment Reporting Information [Line Items]      
Net sales 1,781.2 1,666.9  
Operating earnings 433.2 393.3 348.6
Operating Segments | Financial Services      
Segment Reporting Information [Line Items]      
Net sales 378.1 349.7  
Operating earnings 270.5 266.0 272.0
Intersegment eliminations      
Segment Reporting Information [Line Items]      
Net sales (598.1) (645.3)  
Corporate      
Segment Reporting Information [Line Items]      
Operating earnings (113.2) (108.4) (118.1)
Total net sales      
Segment Reporting Information [Line Items]      
Net sales 4,730.2 4,492.8 4,252.0
Operating earnings 1,039.9 941.2 851.5
Total net sales | Operating Segments      
Segment Reporting Information [Line Items]      
Net sales 5,328.3 5,138.1 4,848.0
Total net sales | Operating Segments | Commercial & Industrial Group      
Segment Reporting Information [Line Items]      
Net sales 1,458.3 1,399.2 1,406.3
Total net sales | Operating Segments | Snap-on Tools Group      
Segment Reporting Information [Line Items]      
Net sales 2,088.8 2,072.0 1,938.6
Total net sales | Operating Segments | Repair Systems  & Information Group      
Segment Reporting Information [Line Items]      
Net sales 1,781.2 1,666.9 1,503.1
Total net sales | Operating Segments | Financial Services      
Segment Reporting Information [Line Items]      
Net sales 0.0 0.0  
Total net sales | Intersegment eliminations      
Segment Reporting Information [Line Items]      
Net sales (598.1) (645.3) (596.0)
Total net sales | Intersegment eliminations | Commercial & Industrial Group      
Segment Reporting Information [Line Items]      
Net sales 312.7 340.9  
Total net sales | Intersegment eliminations | Snap-on Tools Group      
Segment Reporting Information [Line Items]      
Net sales 0.0 0.0  
Total net sales | Intersegment eliminations | Repair Systems  & Information Group      
Segment Reporting Information [Line Items]      
Net sales 285.4 304.4  
Total net sales | Intersegment eliminations | Financial Services      
Segment Reporting Information [Line Items]      
Net sales 0.0 0.0  
Financial services revenue      
Segment Reporting Information [Line Items]      
Net sales 378.1 349.7 349.7
Operating earnings 270.5 266.0 $ 272.0
Financial services revenue | Operating Segments | Commercial & Industrial Group      
Segment Reporting Information [Line Items]      
Net sales 0.0 0.0  
Financial services revenue | Operating Segments | Snap-on Tools Group      
Segment Reporting Information [Line Items]      
Net sales 0.0 0.0  
Financial services revenue | Operating Segments | Repair Systems  & Information Group      
Segment Reporting Information [Line Items]      
Net sales 0.0 0.0  
Financial services revenue | Operating Segments | Financial Services      
Segment Reporting Information [Line Items]      
Net sales $ 378.1 $ 349.7