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Goodwill and Other Intangible Assets (Tables)
 12 Months Ended
Dec. 30, 2023
Goodwill and Intangible Assets Disclosure [Abstract]  
Schedule of Changes in Carrying Amount of Goodwill by Segment
The changes in the carrying amount of goodwill by segment for 2023 and 2022 are as follows: 
(Amounts in millions)Commercial
& Industrial
Group		Snap-on
Tools Group		Repair Systems 
& Information
Group		Total
Balance as of 2021 year end
$325.8 $12.4 $778.3 $1,116.5 
Currency translation(22.4)— (15.7)(38.1)
Acquisition adjustments(0.5)— (32.6)(33.1)
Balance as of 2022 year end$302.9 $12.4 $730.0 $1,045.3 
Currency translation10.7 — 6.7 17.4 
Acquisition adjustments33.0 — 1.7 34.7 
Balance as of 2023 year end$346.6 $12.4 $738.4 $1,097.4 
Schedule of Other Intangible Assets by Major Class
Additional disclosures related to other intangible assets as of 2023 and 2022 year end are as follows: 
 20232022
(Amounts in millions)Gross Carrying ValueAccumulated
Amortization		Net Carrying ValueGross
Carrying Value		Accumulated
Amortization		Net Carrying Value
Amortized other intangible assets:
Customer relationships$214.5 $(163.6)$50.9 $212.1 $(150.8)$61.3 
Developed technology36.2 (29.8)6.4 35.8 (26.0)9.8 
Internally developed software191.3 (148.2)43.1 179.6 (137.2)42.4 
Patents53.0 (26.8)26.2 48.4 (25.6)22.8 
Trademarks4.0 (2.5)1.5 3.9 (2.4)1.5 
Other6.2 (2.8)3.4 7.7 (4.0)3.7 
Total505.2 (373.7)131.5 487.5 (346.0)141.5 
Non-amortized trademarks137.4 — 137.4 134.1 — 134.1 
Total other intangible assets$642.6 $(373.7)$268.9 $621.6 $(346.0)$275.6 
Schedule of Weighted-Average Amortization Period by Major Class
The weighted-average amortization periods related to other intangible assets are as follows: 
   In Years
Customer relationships  14
Developed technology  5
Internally developed software  6
Patents  15
Trademarks  9
Other  39