Selected Quarterly Financial Data (Schedule Of Selected Quarterly Financial Data) (Details) - USD ($) $ / shares in Units, $ in Millions	3 Months Ended								12 Months Ended
	Dec. 30, 2016	Sep. 30, 2016	Jul. 01, 2016	Apr. 01, 2016	Jan. 01, 2016	Oct. 02, 2015	Jul. 03, 2015	Apr. 03, 2015	Dec. 30, 2016		Jan. 01, 2016		Jan. 02, 2015
Quarterly Financial Information Disclosure [Abstract]
Revenues	$ 585.5	$ 584.1	$ 609.6	$ 583.0	$ 559.7	$ 562.3	$ 585.8	$ 582.6	$ 2,362.2	[1]	$ 2,290.4	[1]	$ 2,395.5	[1]
Gross margin	312.8	309.0	315.6	300.6	293.1	298.0	303.9	307.2	1,238.0		1,202.2		1,290.8
Net income attributable to Trimble Inc.	$ 37.7	$ 39.2	$ 35.7	$ 19.8	$ 24.0	$ 37.1	$ 25.9	$ 34.1	$ 132.4		$ 121.1		$ 214.1
Basic net income per share	$ 0.15	$ 0.16	$ 0.14	$ 0.08	$ 0.10	$ 0.15	$ 0.10	$ 0.13	$ 0.53		$ 0.47		$ 0.82
Diluted net income per share	$ 0.15	$ 0.15	$ 0.14	$ 0.08	$ 0.09	$ 0.14	$ 0.10	$ 0.13	$ 0.52		$ 0.47		$ 0.81

[1] Revenue is attributed to countries based on the location of the customer.