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Goodwill and Other Intangible Assets - (Tables) | 9 Months Ended
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Sep. 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 the nine months ended September 30, 2023, are as follows:
(Amounts in millions) | Commercial & Industrial Group |  | Snap-on Tools Group |  | Repair Systems & Information Group |  | Total
Balance as of December 31, 2022 | $ | 302.9 |  |  | $ | 12.4 |  |  | $ | 730.0 |  |  | $ | 1,045.3 |
Currency translation | (5.9) |  |  | — |  |  | (3.5) |  |  | (9.4) |
Balance as of September 30, 2023 | $ | 297.0 |  |  | $ | 12.4 |  |  | $ | 726.5 |  |  | $ | 1,035.9 |
Schedule of Other Intangible Assets by Major Class | Additional disclosures related to other intangible assets are as follows:
| September 30, 2023 |  | December 31, 2022
(Amounts in millions) | Gross Carrying Value |  | Accumulated Amortization |  | Net Carrying Value |  | Gross Carrying Value |  | Accumulated Amortization |  | Net Carrying Value
Amortized other intangible assets: |  |  |  |  |  |  |  |  |  |  |
Customer relationships | $ | 211.3 |  |  | $ | (159.1) |  |  | $ | 52.2 |  |  | $ | 212.1 |  |  | $ | (150.8) |  |  | $ | 61.3 |
Developed technology | 35.9 |  |  | (28.7) |  |  | 7.2 |  |  | 35.8 |  |  | (26.0) |  |  | 9.8 |
Internally developed software | 187.3 |  |  | (145.3) |  |  | 42.0 |  |  | 179.6 |  |  | (137.2) |  |  | 42.4 |
Patents | 50.9 |  |  | (26.1) |  |  | 24.8 |  |  | 48.4 |  |  | (25.6) |  |  | 22.8 |
Trademarks | 3.8 |  |  | (2.4) |  |  | 1.4 |  |  | 3.9 |  |  | (2.4) |  |  | 1.5 |
Other | 7.4 |  |  | (4.0) |  |  | 3.4 |  |  | 7.7 |  |  | (4.0) |  |  | 3.7 |
Total | 496.6 |  |  | (365.6) |  |  | 131.0 |  |  | 487.5 |  |  | (346.0) |  |  | 141.5 |
Non-amortized trademarks | 132.0 |  |  | — |  |  | 132.0 |  |  | 134.1 |  |  | — |  |  | 134.1 |
Total other intangible assets | $ | 628.6 |  |  | $ | (365.6) |  |  | $ | 263.0 |  |  | $ | 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

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