Consolidated Statements of Comprehensive Income - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Comprehensive income (loss):
Net earnings	$ 841.4	$ 646.4	$ 711.2
Other comprehensive income (loss):
Foreign currency translation	(69.4)	112.7	(9.5)
Reclassification of foreign currency translation loss from sale of equity interest to net earnings	(1.0)	0.0	0.0
Unrealized cash flow hedges, net of tax:
Other comprehensive income before reclassifications	0.0	1.4	0.0
Reclassification of cash flow hedges to net earnings	(1.6)	(1.6)	(1.5)
Defined benefit pension and postretirement plans:
Net prior service costs and credits and unrecognized gain (loss)	85.1	3.8	(6.7)
Income tax (expense) benefit	(18.6)	(0.3)	0.2
Net of tax	66.5	3.5	(6.5)
Amortization of unrecognized loss and net prior service costs included in net periodic benefit cost	36.4	34.5	23.5
Income tax benefit	(9.0)	(8.4)	(5.8)
Net of tax	27.4	26.1	17.7
Total comprehensive income	863.3	788.5	711.4
Comprehensive income attributable to noncontrolling interests	(20.9)	(19.4)	(17.7)
Comprehensive income attributable to Snap-on Incorporated	$ 842.4	$ 769.1	$ 693.7