Consolidated Statements of Comprehensive Income - USD ($) $ in Millions		12 Months Ended
		Jan. 02, 2021	Dec. 28, 2019	Dec. 29, 2018
Comprehensive income (loss):
Net earnings		$ 646.4	$ 711.2	$ 696.2
Other comprehensive income (loss):
Foreign currency translation	[1]	112.7	(9.5)	(95.4)
Unrealized cash flow hedges, net of tax:
Other comprehensive income (loss) before reclassifications		1.4	0.0
Other comprehensive income (loss) before reclassifications				(0.8)
Reclassification of cash flow hedges to net earnings		(1.6)	(1.5)	(1.5)
Defined benefit pension and postretirement plans:
Net prior service costs and credits and unrecognized (loss) gain		3.8	(6.7)	(79.0)
Income tax (expense) benefit		(0.3)	0.2	20.0
Net of tax		3.5	(6.5)	(59.0)
Amortization of unrecognized loss and net prior service costs included in net periodic benefit cost		34.5	23.5	31.1
Income tax benefit		(8.4)	(5.8)	(7.6)
Net of tax		26.1	17.7	23.5
Total comprehensive income		788.5	711.4	563.0
Comprehensive income attributable to noncontrolling interests		(19.4)	(17.7)	(16.3)
Comprehensive income attributable to Snap-on Incorporated		$ 769.1	$ 693.7	$ 546.7

[1] There is no reclassification adjustment as there was no sale or liquidation of any foreign entity during any period presented.