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Segments - Net Sales by Segment (Detail) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Jan. 02, 2016
Oct. 03, 2015
Jul. 04, 2015
Apr. 04, 2015
Jan. 03, 2015
Sep. 27, 2014
Jun. 28, 2014
Mar. 29, 2014
Jan. 02, 2016
Jan. 03, 2015
Dec. 28, 2013
Segment Reporting Information [Line Items]                      
Net sales $ 851.7 $ 821.5 $ 851.8 $ 827.8 $ 857.4 $ 806.3 $ 826.5 $ 787.5 $ 3,352.8 $ 3,277.7 $ 3,056.5
Financial services revenue $ 63.1 $ 61.1 $ 58.7 $ 57.4 $ 59.4 $ 53.6 $ 51.7 $ 50.2 240.3 214.9 181.0
Total revenues                 3,593.1 3,492.6 3,237.5
Operating earnings                 764.8 684.7 586.2
Interest expense                 (51.9) (52.9) (56.1)
Other income (expense) - net                 (2.4) (0.9) (3.9)
Earnings before income taxes and equity earnings                 710.5 630.9 526.2
Operating Segments [Member]                      
Segment Reporting Information [Line Items]                      
Net sales                 3,845.5 3,725.2 3,459.0
Operating earnings                 869.0 782.0 689.5
Operating Segments [Member] | Commercial & Industrial Group [Member]                      
Segment Reporting Information [Line Items]                      
Net sales                 1,163.6 1,174.8 1,091.0
Operating earnings                 169.4 158.6 137.3
Operating Segments [Member] | Snap-on Tools Group [Member]                      
Segment Reporting Information [Line Items]                      
Net sales                 1,568.7 1,455.2 1,358.4
Operating earnings                 256.0 223.1 194.6
Operating Segments [Member] | Repair Systems & Information Group [Member]                      
Segment Reporting Information [Line Items]                      
Net sales                 1,113.2 1,095.2 1,009.6
Operating earnings                 273.4 251.2 231.9
Operating Segments [Member] | Financial Services [Member]                      
Segment Reporting Information [Line Items]                      
Operating earnings                 170.2 149.1 125.7
Intersegment Eliminations [Member]                      
Segment Reporting Information [Line Items]                      
Net sales                 (492.7) (447.5) (402.5)
Corporate [Member]                      
Segment Reporting Information [Line Items]                      
Operating earnings                 $ (104.2) $ (97.3) $ (103.3)