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Segments - Net Sales by Segment (Detail) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2016
Oct. 01, 2016
Jul. 02, 2016
Apr. 02, 2016
Jan. 02, 2016
Oct. 03, 2015
Jul. 04, 2015
Apr. 04, 2015
Dec. 31, 2016
Jan. 02, 2016
Jan. 03, 2015
Segment Reporting Information [Line Items]                      
Net sales $ 889.8 $ 834.1 $ 872.3 $ 834.2 $ 851.7 $ 821.5 $ 851.8 $ 827.8 $ 3,430.4 $ 3,352.8 $ 3,277.7
Financial services revenue $ 74.2 $ 71.6 $ 69.3 $ 66.3 $ 63.1 $ 61.1 $ 58.7 $ 57.4 281.4 240.3 214.9
Total revenues                 3,711.8 3,593.1 3,492.6
Operating earnings                 854.2 764.8 684.7
Interest expense                 (52.2) (51.9) (52.9)
Other income (expense) - net                 (0.6) (2.4) (0.9)
Earnings before income taxes and equity earnings                 801.4 710.5 630.9
Operating Segments [Member]                      
Segment Reporting Information [Line Items]                      
Net sales                 3,962.1 3,845.5 3,725.2
Operating earnings                 945.6 869.0 782.0
Operating Segments [Member] | Commercial & Industrial Group [Member]                      
Segment Reporting Information [Line Items]                      
Net sales                 1,148.3 1,163.6 1,174.8
Operating earnings                 168.0 169.4 158.6
Operating Segments [Member] | Snap-on Tools Group [Member]                      
Segment Reporting Information [Line Items]                      
Net sales                 1,633.9 1,568.7 1,455.2
Operating earnings                 281.1 256.0 223.1
Operating Segments [Member] | Repair Systems & Information Group [Member]                      
Segment Reporting Information [Line Items]                      
Net sales                 1,179.9 1,113.2 1,095.2
Operating earnings                 297.8 273.4 251.2
Operating Segments [Member] | Financial Services [Member]                      
Segment Reporting Information [Line Items]                      
Operating earnings                 198.7 170.2 149.1
Intersegment Eliminations [Member]                      
Segment Reporting Information [Line Items]                      
Net sales                 (531.7) (492.7) (447.5)
Corporate [Member]                      
Segment Reporting Information [Line Items]                      
Operating earnings                 $ (91.4) $ (104.2) $ (97.3)