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Segments - Schedule of Net Sales by Segment (Details) - USD ($)
$ in Millions
 3 Months Ended
Apr. 01, 2023
Apr. 02, 2022
Segment Reporting Information [Line Items]    
Total revenues $ 1,275.6 $ 1,185.5
Operating earnings 326.1 293.5
Interest expense (12.4) (11.6)
Other income (expense) – net 15.2 8.3
Earnings before income taxes 328.9 290.2
Commercial & Industrial Group    
Segment Reporting Information [Line Items]    
Total revenues 363.8 340.1
Snap-on Tools Group    
Segment Reporting Information [Line Items]    
Total revenues 537.0 512.1
Repair Systems & Information Group    
Segment Reporting Information [Line Items]    
Total revenues 446.6 398.2
Financial Services    
Segment Reporting Information [Line Items]    
Total revenues 92.6 87.7
Total assets from reportable segments    
Segment Reporting Information [Line Items]    
Operating earnings 358.4 323.7
Intersegment eliminations    
Segment Reporting Information [Line Items]    
Total revenues (164.4) (152.6)
Corporate    
Segment Reporting Information [Line Items]    
Operating earnings 32.3 30.2
Total net sales    
Segment Reporting Information [Line Items]    
Total revenues 1,183.0 1,097.8
Operating earnings 259.8 223.1
Total net sales | Commercial & Industrial Group    
Segment Reporting Information [Line Items]    
Total revenues 278.6 261.2
Total net sales | Snap-on Tools Group    
Segment Reporting Information [Line Items]    
Total revenues 537.0 512.1
Total net sales | Repair Systems & Information Group    
Segment Reporting Information [Line Items]    
Total revenues 367.4 324.5
Total net sales | Financial Services    
Segment Reporting Information [Line Items]    
Total revenues 0.0 0.0
Total net sales | Total assets from reportable segments    
Segment Reporting Information [Line Items]    
Total revenues 1,347.4 1,250.4
Total net sales | Total assets from reportable segments | Commercial & Industrial Group    
Segment Reporting Information [Line Items]    
Total revenues 363.8 340.1
Operating earnings 55.8 45.7
Total net sales | Total assets from reportable segments | Snap-on Tools Group    
Segment Reporting Information [Line Items]    
Total revenues 537.0 512.1
Operating earnings 131.7 116.0
Total net sales | Total assets from reportable segments | Repair Systems & Information Group    
Segment Reporting Information [Line Items]    
Total revenues 446.6 398.2
Operating earnings 104.6 91.6
Total net sales | Total assets from reportable 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 (164.4) (152.6)
Total net sales | Intersegment eliminations | Commercial & Industrial Group    
Segment Reporting Information [Line Items]    
Total revenues 85.2 78.9
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 79.2 73.7
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 92.6 87.7
Operating earnings 66.3 70.4
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 92.6 87.7
Financial services revenue | Total assets from reportable segments | Financial Services    
Segment Reporting Information [Line Items]    
Operating earnings 66.3 70.4
Financial services revenue | Intersegment eliminations    
Segment Reporting Information [Line Items]    
Total revenues $ 0.0 $ 0.0