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Quarterly Data - Schedule of Quarterly Data (unaudited) (Detail) - USD ($)
$ / shares in Units, $ in Millions
 3 Months Ended 12 Months Ended
Jan. 02, 2021
Sep. 26, 2020
Jun. 27, 2020
Mar. 28, 2020
Dec. 28, 2019
Sep. 28, 2019
Jun. 29, 2019
Mar. 30, 2019
Jan. 02, 2021
Dec. 28, 2019
Dec. 29, 2018
Condensed Income Statements, Captions [Line Items]                      
Net sales                 $ 3,942.2 $ 4,067.7 $ 4,070.4
Net earnings $ 213.8 $ 184.7 $ 105.9 $ 142.0 $ 175.0 $ 169.2 $ 184.9 $ 182.1 646.4 711.2 696.2
Net earnings attributable to Snap-on Incorporated $ 208.9 $ 179.7 $ 101.2 $ 137.2 $ 170.6 $ 164.6 $ 180.4 $ 177.9 $ 627.0 $ 693.5 $ 679.9
Earnings per share - basic (in dollars per share) $ 3.85 $ 3.31 $ 1.86 $ 2.52 $ 3.12 $ 2.99 $ 3.27 $ 3.21 $ 11.55 $ 12.59 $ 12.08
Earnings per share - diluted (in dollars per share) 3.82 3.28 1.85 2.49 3.08 2.96 3.22 3.16 11.44 12.41 11.87
Cash dividends paid per share (in dollars per share) $ 1.23 $ 1.08 $ 1.08 $ 1.08 $ 1.08 $ 0.95 $ 0.95 $ 0.95 $ 4.47 $ 3.93 $ 3.41
Product And Services, Excluding Financial Services                      
Condensed Income Statements, Captions [Line Items]                      
Net sales $ 1,074.4 $ 941.6 $ 724.3 $ 852.2 $ 955.2 $ 901.8 $ 951.3 $ 921.7 $ 3,592.5 $ 3,730.0 $ 3,740.7
Gross profit 516.2 469.5 341.2 421.6 450.5 448.1 473.8 471.6 1,748.5 1,844.0 1,870.0
Financial services expenses                 (1,844.0) (1,886.0) (1,870.7)
Financial Service                      
Condensed Income Statements, Captions [Line Items]                      
Net sales 93.4 85.8 84.6 85.9 83.9 84.1 84.1 85.6 349.7 337.7 329.7
Financial services expenses $ (24.9) $ (20.2) $ (27.0) $ (29.0) $ (21.7) $ (23.1) $ (23.5) $ (23.5) $ (101.1) $ (91.8) $ (99.6)