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Segments - Net Sales by Segment (Detail) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Dec. 30, 2017
Sep. 30, 2017
Jul. 01, 2017
Apr. 01, 2017
Dec. 31, 2016
Oct. 01, 2016
Jul. 02, 2016
Apr. 02, 2016
Dec. 30, 2017
Dec. 31, 2016
Jan. 02, 2016
Segment Reporting Information [Line Items]                      
Net sales $ 974.6 $ 903.8 $ 921.4 $ 887.1 $ 889.8 $ 834.1 $ 872.3 $ 834.2 $ 3,686.9 $ 3,430.4 $ 3,352.8
Financial services revenue $ 79.9 $ 79.0 $ 77.7 $ 76.8 $ 74.2 $ 71.6 $ 69.3 $ 66.3 313.4 281.4 240.3
Total revenues                 4,000.3 3,711.8 3,593.1
Operating earnings                 881.5 854.2 764.8
Interest expense                 (52.4) (52.2) (51.9)
Other income (expense) - net                 (7.2) (0.6) (2.4)
Earnings before income taxes and equity earnings                 821.9 801.4 710.5
Operating Segments [Member]                      
Segment Reporting Information [Line Items]                      
Net sales                 4,237.3 3,962.1 3,845.5
Operating earnings                 1,011.1 945.6 869.0
Operating Segments [Member] | Commercial & Industrial Group [Member]                      
Segment Reporting Information [Line Items]                      
Net sales                 1,265.0 1,148.3 1,163.6
Operating earnings                 185.3 168.0 169.4
Operating Segments [Member] | Snap-on Tools Group [Member]                      
Segment Reporting Information [Line Items]                      
Net sales                 1,625.1 1,633.9 1,568.7
Operating earnings                 274.5 281.1 256.0
Operating Segments [Member] | Repair Systems & Information Group [Member]                      
Segment Reporting Information [Line Items]                      
Net sales                 1,347.2 1,179.9 1,113.2
Operating earnings                 333.8 297.8 273.4
Operating Segments [Member] | Financial Services [Member]                      
Segment Reporting Information [Line Items]                      
Operating earnings                 217.5 198.7 170.2
Intersegment Eliminations [Member]                      
Segment Reporting Information [Line Items]                      
Net sales                 (550.4) (531.7) (492.7)
Corporate [Member]                      
Segment Reporting Information [Line Items]                      
Operating earnings                 $ (129.6) $ (91.4) $ (104.2)