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Divestitures (Details) - USD ($) $ in Millions			3 Months Ended
Divestitures (Details) - USD ($) $ in Millions	Feb. 08, 2025	Apr. 01, 2024	Apr. 04, 2025	Mar. 29, 2024	Jan. 03, 2025
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Equity investments			$ 336.6		$ 334.6
Income from equity method investments, net			1.0	$ 5.6
Held for sale \| Global Transportation Telematics ("Mobility")
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Net assets, wrote off	$ 277.3
Goodwill	145.3
Gain (loss) on disposal	$ (30.6)
Held for sale \| Trimble Ag
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Net assets, wrote off		$ 457.3
Goodwill		357.4
Disposal group, including discontinued operation, consideration		1,900.0
Pre-tax (loss) gain on disposal		$ 1,700.0
Platform Science
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Ownership percentage	32.50%
Platform Science \| Preferred Stock
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Ownership percentage	28.50%
Platform Science \| Warrant
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Ownership percentage	4.00%
PTx Trimble
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Equity investments			$ 220.5		$ 222.3
Ownership percentage		15.00%
Income from equity method investments, net		$ 275.6