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Segments - Net Sales by Segment (Details) - USD ($)
$ in Millions
 3 Months Ended
Apr. 02, 2022
Apr. 03, 2021
Segment Reporting Information [Line Items]    
Total revenues $ 1,185.5 $ 1,113.2
Operating earnings 293.5 266.2
Interest expense (11.6) (14.3)
Other income (expense) – net 8.3 4.3
Earnings before income taxes and equity earnings 290.2 256.2
Commercial & Industrial Group    
Segment Reporting Information [Line Items]    
Total revenues 340.1 345.7
Snap-on Tools Group    
Segment Reporting Information [Line Items]    
Total revenues 512.1 478.3
Repair Systems & Information Group    
Segment Reporting Information [Line Items]    
Total revenues 398.2 347.6
Financial Services    
Segment Reporting Information [Line Items]    
Total revenues 87.7 88.6
Operating segments    
Segment Reporting Information [Line Items]    
Operating earnings 323.7 296.3
Operating segments | Commercial & Industrial Group    
Segment Reporting Information [Line Items]    
Operating earnings 45.7 50.7
Operating segments | Snap-on Tools Group    
Segment Reporting Information [Line Items]    
Operating earnings 116.0 98.9
Operating segments | Repair Systems & Information Group    
Segment Reporting Information [Line Items]    
Operating earnings 91.6 81.4
Operating segments | Financial Services    
Segment Reporting Information [Line Items]    
Operating earnings 70.4 65.3
Intersegment eliminations    
Segment Reporting Information [Line Items]    
Total revenues (152.6) (147.0)
Corporate    
Segment Reporting Information [Line Items]    
Operating earnings (30.2) (30.1)
Total net sales    
Segment Reporting Information [Line Items]    
Total revenues 1,097.8 1,024.6
Operating earnings 223.1 200.9
Total net sales | Commercial & Industrial Group    
Segment Reporting Information [Line Items]    
Total revenues 261.2 271.1
Total net sales | Snap-on Tools Group    
Segment Reporting Information [Line Items]    
Total revenues 512.1 478.3
Total net sales | Repair Systems & Information Group    
Segment Reporting Information [Line Items]    
Total revenues 324.5 275.2
Total net sales | Financial Services    
Segment Reporting Information [Line Items]    
Total revenues 0.0 0.0
Total net sales | Operating segments    
Segment Reporting Information [Line Items]    
Total revenues 1,250.4 1,171.6
Total net sales | Operating segments | Commercial & Industrial Group    
Segment Reporting Information [Line Items]    
Total revenues 340.1 345.7
Total net sales | Operating segments | Snap-on Tools Group    
Segment Reporting Information [Line Items]    
Total revenues 512.1 478.3
Total net sales | Operating segments | Repair Systems & Information Group    
Segment Reporting Information [Line Items]    
Total revenues 398.2 347.6
Total net sales | Operating segments | Financial Services    
Segment Reporting Information [Line Items]    
Total revenues 0.0 0.0
Total net sales | Intersegment eliminations    
Segment Reporting Information [Line Items]    
Total revenues (152.6) (147.0)
Total net sales | Intersegment eliminations | Commercial & Industrial Group    
Segment Reporting Information [Line Items]    
Total revenues 78.9 74.6
Total net sales | Intersegment eliminations | Snap-on Tools Group    
Segment Reporting Information [Line Items]    
Total revenues 0.0 0.0
Total net sales | Intersegment eliminations | Repair Systems & Information Group    
Segment Reporting Information [Line Items]    
Total revenues 73.7 72.4
Total net sales | Intersegment eliminations | Financial Services    
Segment Reporting Information [Line Items]    
Total revenues 0.0 0.0
Financial services revenue    
Segment Reporting Information [Line Items]    
Total revenues 87.7 88.6
Operating earnings 70.4 65.3
Financial services revenue | Commercial & Industrial Group    
Segment Reporting Information [Line Items]    
Total revenues 0.0 0.0
Financial services revenue | Snap-on Tools Group    
Segment Reporting Information [Line Items]    
Total revenues 0.0 0.0
Financial services revenue | Repair Systems & Information Group    
Segment Reporting Information [Line Items]    
Total revenues 0.0 0.0
Financial services revenue | Financial Services    
Segment Reporting Information [Line Items]    
Total revenues 87.7 88.6
Financial services revenue | Intersegment eliminations    
Segment Reporting Information [Line Items]    
Total revenues $ 0.0 $ 0.0