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Divestitures (Details) - USD ($) $ in Millions			3 Months Ended		6 Months Ended
Divestitures (Details) - USD ($) $ in Millions	Feb. 08, 2025	Apr. 01, 2024	Jul. 04, 2025	Jun. 28, 2024	Jul. 04, 2025	Jun. 28, 2024	Jan. 03, 2025
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Equity ownership interests with fair value			$ 284.9		$ 284.9		$ 26.4
Pre tax loss			(2.6)	$ (1,714.1)	(4.8)	$ (1,717.6)
Income from equity method investments, net			$ 2.3	$ 4.3	$ 3.3	$ 9.9
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
Pre tax loss	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 gain on disposal		$ 1,700.0
Platform Science
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Equity ownership interests with fair value	$ 253.9
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]
Ownership percentage		15.00%
Income from equity method investments, net		$ 275.6