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Consolidated Statements of Comprehensive Income - USD ($)
$ in Millions
 12 Months Ended
Dec. 31, 2022
Jan. 01, 2022
Jan. 02, 2021
Comprehensive income (loss):      
Net earnings $ 933.9 $ 841.4 $ 646.4
Other comprehensive income (loss):      
Foreign currency translation (127.4) (69.4) 112.7
Reclassification of foreign currency translation loss from sale of equity interest to net earnings 0.0 (1.0) 0.0
Unrealized cash flow hedges, net of tax:      
Other comprehensive income before reclassifications 0.0 0.0 1.4
Reclassification of cash flow hedges to net earnings (1.6) (1.6) (1.6)
Defined benefit pension and postretirement plans:      
Net prior service costs and credits and unrecognized gain (loss) (92.8) 85.1 3.8
Income tax benefit (expense) 23.8 (18.6) (0.3)
Net of tax (69.0) 66.5 3.5
Amortization of unrecognized loss and net prior service costs included in net periodic benefit cost 18.1 36.4 34.5
Income tax benefit (4.5) (9.0) (8.4)
Net of tax 13.6 27.4 26.1
Total comprehensive income 749.5 863.3 788.5
Comprehensive income attributable to noncontrolling interests (22.2) (20.9) (19.4)
Comprehensive income attributable to Snap-on Incorporated $ 727.3 $ 842.4 $ 769.1