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Revenue Recognition - Revenue Disaggregation (Details) - USD ($) $ in Millions | 3 Months Ended | 12 Months Ended
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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
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Revenue from contracts with customers |  |  |  |  |  |  |  |  | $ 3,569.3 | $ 3,708.3 |
Net sales |  |  |  |  |  |  |  |  | 3,942.2 | 4,067.7 | $ 4,070.4
Europe |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 677.5 | 730.3 | 784.7
Commercial & Industrial Group |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 1,234.6 | 1,345.7 |
Snap-on Tools Group |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 1,643.9 | 1,612.9 |
Repair Systems & Information Group |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 1,238.2 | 1,334.5 |
Financial Services |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 349.7 | 337.7 |
Intersegment eliminations |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | (524.2) | (563.1) |
Product and Service, Other |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 23.2 | 21.7 |
Product And Services, Excluding Financial Services |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [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
Product And Services, Excluding Financial Services | Vehicle service professionals |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 2,728.3 | 2,777.3 |
Product And Services, Excluding Financial Services | All other professionals |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 864.2 | 952.7 |
Product And Services, Excluding Financial Services | North America |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 2,595.8 | 2,654.6 |
Product And Services, Excluding Financial Services | Europe |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 616.8 | 664.9 |
Product And Services, Excluding Financial Services | All other |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 379.9 | 410.5 |
Product And Services, Excluding Financial Services | Commercial & Industrial Group |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 951.4 | 1,038.2 |
Product And Services, Excluding Financial Services | Commercial & Industrial Group | Vehicle service professionals |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 87.2 | 85.5 |
Product And Services, Excluding Financial Services | Commercial & Industrial Group | All other professionals |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 864.2 | 952.7 |
Product And Services, Excluding Financial Services | Commercial & Industrial Group | North America |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 432.3 | 482.1 |
Product And Services, Excluding Financial Services | Commercial & Industrial Group | Europe |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 276.2 | 291.7 |
Product And Services, Excluding Financial Services | Commercial & Industrial Group | All other |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 242.9 | 264.4 |
Product And Services, Excluding Financial Services | Snap-on Tools Group |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 1,643.9 | 1,612.9 |
Product And Services, Excluding Financial Services | Snap-on Tools Group | Vehicle service professionals |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 1,643.9 | 1,612.9 |
Product And Services, Excluding Financial Services | Snap-on Tools Group | All other professionals |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 0.0 | 0.0 |
Product And Services, Excluding Financial Services | Snap-on Tools Group | North America |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 1,442.8 | 1,406.1 |
Product And Services, Excluding Financial Services | Snap-on Tools Group | Europe |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 125.7 | 131.9 |
Product And Services, Excluding Financial Services | Snap-on Tools Group | All other |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 75.4 | 74.9 |
Product And Services, Excluding Financial Services | Repair Systems & Information Group |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 997.2 | 1,078.9 |
Product And Services, Excluding Financial Services | Repair Systems & Information Group | Vehicle service professionals |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 997.2 | 1,078.9 |
Product And Services, Excluding Financial Services | Repair Systems & Information Group | All other professionals |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 0.0 | 0.0 |
Product And Services, Excluding Financial Services | Repair Systems & Information Group | North America |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 720.7 | 766.4 |
Product And Services, Excluding Financial Services | Repair Systems & Information Group | Europe |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 214.9 | 241.3 |
Product And Services, Excluding Financial Services | Repair Systems & Information Group | All other |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 61.6 | 71.2 |
Product And Services, Excluding Financial Services | Financial Services |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 0.0 | 0.0 |
Product And Services, Excluding Financial Services | Financial Services | Vehicle service professionals |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 0.0 | 0.0 |
Product And Services, Excluding Financial Services | Financial Services | All other professionals |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 0.0 | 0.0 |
Product And Services, Excluding Financial Services | Financial Services | North America |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 0.0 | 0.0 |
Product And Services, Excluding Financial Services | Financial Services | Europe |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 0.0 | 0.0 |
Product And Services, Excluding Financial Services | Financial Services | All other |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 0.0 | 0.0 |
Product And Services, Excluding Financial Services | Intersegment eliminations |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | (524.2) | (563.1) | (550.8)
Product And Services, Excluding Financial Services | Intersegment eliminations | Commercial & Industrial Group |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 283.2 | 307.5 |
Product And Services, Excluding Financial Services | Intersegment eliminations | Snap-on Tools Group |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 0.0 | 0.0 |
Product And Services, Excluding Financial Services | Intersegment eliminations | Repair Systems & Information Group |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 241.0 | 255.6 |
Product And Services, Excluding Financial Services | Intersegment eliminations | Financial Services |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 0.0 | 0.0 |
Product And Services, Excluding Financial Services | Operating Segments |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 4,116.7 | 4,293.1 | 4,291.5
Product And Services, Excluding Financial Services | Operating Segments | Commercial & Industrial Group |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 1,234.6 | 1,345.7 | 1,343.3
Product And Services, Excluding Financial Services | Operating Segments | Snap-on Tools Group |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 1,643.9 | 1,612.9 | 1,613.8
Product And Services, Excluding Financial Services | Operating Segments | Repair Systems & Information Group |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 1,238.2 | 1,334.5 | 1,334.4
Product And Services, Excluding Financial Services | Operating Segments | Financial Services |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 0.0 | 0.0 |
Financial Service |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [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 Service | Commercial & Industrial Group |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 0.0 | 0.0 |
Financial Service | Snap-on Tools Group |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 0.0 | 0.0 |
Financial Service | Repair Systems & Information Group |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | 0.0 | 0.0 |
Financial Service | Financial Services |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  | $ 349.7 | $ 337.7 |

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