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Analysis of accumulated other comprehensive (loss) income
 12 Months Ended
Dec. 30, 2023
Equity [Abstract]  
Analysis of accumulated other comprehensive (loss) income Analysis of accumulated other comprehensive (loss) income
Changes in accumulated other comprehensive (loss) income by component, net of tax, were as follows:
(dollars in millions)
Post-
retirement
benefit		Cumulative
translation
adjustment		Cash flow
hedges		Accumulated OCI attributable to
shareholders		Non-
controlling
interests		Accumulated OCI
As of January 2, 2021$14.9 $(770.2)$(50.1)$(805.4)$(18.1)$(823.5)
Foreign currency translation(0.1)(66.5)— (66.6)(5.2)(71.8)
Cash flow hedges movements— — 25.0 25.0 — 25.0 
Post-retirement benefit movements21.8 — — 21.8 (0.1)21.7 
Other comprehensive income (loss)21.7 (66.5)25.0 (19.8)(5.3)(25.1)
As of January 1, 202236.6 (836.7)(25.1)(825.2)(23.4)(848.6)
Foreign currency translation(1.2)(113.3)— (114.5)(42.1)(156.6)
Cash flow hedges movements— — 56.7 56.7 — 56.7 
Post-retirement benefit movements(34.8)— (34.8)0.9 (33.9)
Other comprehensive (loss) income(36.0)(113.3)56.7 (92.6)(41.2)(133.8)
As of December 31, 20220.6 (950.0)31.6 (917.8)(64.6)(982.4)
Foreign currency translation(3.2)117.7 — 114.5 (13.8)100.7 
Cash flow hedges movements— — (12.5)(12.5)— (12.5)
Post-retirement benefit movements(12.7)— (12.7)— (12.7)
Other comprehensive (loss) income(15.9)117.7 (12.5)89.3 (13.8)75.5 
As of December 30, 2023$(15.3)$(832.3)$19.1 $(828.5)$(78.4)$(906.9)