Consolidated Statements Of Shareholders' Equity - USD ($) shares in Millions, $ in Millions	Total	Common Stock [Member]	Additional Paid-in Capital [Member]	Retained Earnings [Member]	Accumulated Other Comprehensive Income/(Loss) [Member]	Parent [Member]	Noncontrolling Interest [Member]
Balance at Dec. 30, 2016	$ 2,355.2	$ 0.3	$ 1,348.3	$ 1,228.5	$ (221.8)	$ 2,355.3	$ (0.1)
Balance, shares at Dec. 30, 2016		251.3
Net Income (Loss) Attributable to Parent	118.4					118.4
Net income	118.5
Net gain attributable to noncontrolling interests	0.1						0.1
Other comprehensive income	90.4				90.4	90.4
Comprehensive income attributable to Trimble Inc.	208.8					208.8
Comprehensive income	208.9
Issuance of common stock under employee plans, net of tax withholding - Shares		5.0
Issuance of common stock under employee plans, net of tax withholdings	73.3		90.0			73.3
Share-based Payment Arrangement, Decrease for Tax Withholding Obligation				(16.7)
Stock Repurchase, Shares		(7.4)
Stock repurchase	(288.3)	$ (0.1)	(42.2)	(246.0)		(288.3)
Stock based compensation	65.0		65.0			65.0
Tax benefit from stock option exercises	0.4		0.0	0.4		0.4
Balance at Dec. 29, 2017	2,414.5	$ 0.2	1,461.1	1,084.6	(131.4)	2,414.5	0.0
Balance, shares at Dec. 29, 2017		248.9
Net Income (Loss) Attributable to Parent	282.8					282.8
Net income	283.3
Net gain attributable to noncontrolling interests	0.5						0.5
Other comprehensive income	(54.7)				(54.7)	(54.7)
Comprehensive income attributable to Trimble Inc.	228.1					228.1
Comprehensive income	228.6
Issuance of common stock under employee plans, net of tax withholding - Shares		4.4
Issuance of common stock under employee plans, net of tax withholdings	40.2	$ 0.1	67.5			40.2
Share-based Payment Arrangement, Decrease for Tax Withholding Obligation				(27.4)
Stock Repurchase, Shares		(2.4)
Stock repurchase	(90.0)	$ 0.0	(14.7)	(75.3)		(90.0)
Stock based compensation	78.0		78.0			78.0
Noncontrolling Interest, Decrease from Redemptions or Purchase of Interests	(0.1)					0.0	(0.1)
Tax benefit from stock option exercises	3.6
Tax benefit from stock option exercises | Accounting Standards Update 2016-16 [Member]				3.6		3.6
Balance at Dec. 28, 2018	$ 2,674.8	$ 0.3	1,591.9	1,268.3	(186.1)	2,674.4	0.4
Balance, shares at Dec. 28, 2018	250.9	250.9
Net Income (Loss) Attributable to Parent	$ 514.3					514.3
Net income	514.5
Net gain attributable to noncontrolling interests	0.2						0.2
Other comprehensive income	9.3				9.3	9.3
Comprehensive income attributable to Trimble Inc.	523.6					523.6
Comprehensive income	523.8
Issuance of common stock under employee plans, net of tax withholding - Shares		3.7
Issuance of common stock under employee plans, net of tax withholdings	29.1	$ 0.0	59.8			29.1
Share-based Payment Arrangement, Decrease for Tax Withholding Obligation				(30.7)
Stock Repurchase, Shares		(4.7)
Stock repurchase	(179.8)	$ (0.1)	(30.6)	(149.1)		(179.8)
Stock based compensation	72.5		72.5			72.5
Noncontrolling interest investments	0.0		(0.8)			(0.8)	0.8
Balance at Jan. 03, 2020	$ 3,120.4	$ 0.2	$ 1,692.8	$ 1,602.8	$ (176.8)	$ 3,119.0	$ 1.4
Balance, shares at Jan. 03, 2020	249.9	249.9