Retirement Benefits - Narrative (Details) $ in Millions	3 Months Ended	12 Months Ended
	Oct. 01, 2023 USD ($)	Dec. 29, 2024	Dec. 31, 2023 USD ($) employee	Jan. 01, 2023 USD ($)	Jan. 02, 2022 USD ($)	Jan. 03, 2021	Dec. 29, 2019	Oct. 17, 2023 uSRetireeAndBeneficiary
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Projected Retirement Benefit Expense In Next 12 months			$ 21.0
Defined Contribution Plan, Cost			38.8	$ 31.1	$ 20.4
Income tax provision (benefit)			(128.2)	15.5	26.8
Settlement loss (gain) included in net income (loss)			1.1	0.7	(21.9)
Transfer Of Defined Benefit Pension Plan, Percentage								85.00%
Number Of U.S. Retirees And Beneficiaries Transferred | uSRetireeAndBeneficiary								8,200
Number Of U.S. Retirees And Beneficiaries | uSRetireeAndBeneficiary								1,980
Reclassification out of Accumulated Other Comprehensive Income [Member] | Post- retirement benefit plans [Member]
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Income tax provision (benefit)			(1.4)	(2.8)	6.2
Settlement loss (gain) included in net income (loss)			1.1	0.7	(21.9)
Collective-Bargaining Arrangement, Other
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Income tax provision (benefit)					15.5
Other Postretirement Benefits
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Employer contributions			0.0	0.0
Projected Retirement Benefit Expense In Next 12 months			15.0
Defined Contribution Plan, Cost			$ 1.0	$ 1.0	$ 0.0
Assumed increase in per capita cost of covered benefits in next 12 months			7.20%
Assumed ultimate health care cost trend rate			4.00%
Expected long-term rate of return on assets			0.00%	0.00%	0.00%
Fair value of plan assets			$ 0.0	$ 0.0	$ 0.0
Defined Benefit Plan, Benefit Obligation, (Increase) Decrease for Settlement			0.0	0.0	$ 43.0
Settlement loss (gain) included in net income (loss)			0.0	0.0
Pension Benefits [Member]
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Employer contributions	$ 222.0		278.0	57.4
Projected Retirement Benefit Expense In Next 12 months			6.0
Accumulated benefit obligation			$ 283.1	$ 1,716.8
Expected long-term rate of return on assets				6.43%	6.71%
Actual return on plan assets			2.00%	(14.50%)	12.40%	15.20%	15.10%
Fair value of plan assets			$ 289.1	$ 1,599.5	$ 2,120.9
Defined Benefit Plan, Benefit Obligation, (Increase) Decrease for Settlement			1,350.6	0.0
Settlement loss (gain) included in net income (loss)			1.1	0.7
Pension Benefits [Member] | Global debt securities and cash [Member]
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Unfunded commitments			7.0
Pension Benefits [Member] | Private equity [Member]
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Unfunded commitments			33.0
Fair value of plan assets			60.8	224.3
Pension Benefits [Member] | Fair Value, Inputs, Level 3 [Member]
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Fair value of plan assets			0.0	0.0
Pension Benefits [Member] | Fair Value, Inputs, Level 3 [Member] | Private equity [Member]
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Fair value of plan assets			$ 0.0	$ 0.0
Pension Benefits [Member] | Forecast
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Expected long-term rate of return on assets		5.80%
Pension Benefits [Member] | United States
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Defined benefit plan, number of employees accruing benefit service | employee			800
Percent reduction in defined benefit plan participation				60.00%
Employer contributions			$ 272.0	$ 50.0	$ 67.0
Nonqualified plans
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Estimated employer contributions in next 12 months			$ 6.0