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Pensions and other benefit plans - Rates Used to Develop Actuarial Present Value of Projected Benefit Obligation (Details) | 12 Months Ended
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Dec. 31, 2023 | Jan. 01, 2023 | Jan. 02, 2022
Retirement Plans |  |  |
Net Periodic Benefit Cost |  |  |
Service cost discount rate | 4.85% | 2.46% | 2.14%
Interest cost discount rate | 5.25% | 2.80% | 2.34%
Rate of increase in compensation levels | 3.71% | 4.02% | 4.01%
Expected long-term rate of return on plan assets | 7.21% | 7.25% | 7.71%
Benefit Obligation |  |  |
Discount rate | 4.58% | 5.01% | 2.49%
Rate of increase in compensation levels | 3.69% | 4.00% | 4.01%
Other Benefit Plans |  |  |
Net Periodic Benefit Cost |  |  |
Service cost discount rate | 5.40% | 2.59% | 2.09%
Interest cost discount rate | 5.43% | 2.64% | 2.33%
Rate of increase in compensation levels | 4.22% | 4.21% | 4.25%
Benefit Obligation |  |  |
Discount rate | 5.11% | 5.42% | 2.68%
Rate of increase in compensation levels | 4.22% | 4.21% | 4.21%

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- Definition Defined Benefit Plan, Assumptions Used Calculating Net Periodic Benefit Cost, Interest Cost, Discount Rate + References No definition available. + Details
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- Definition Weighted average rate for present value of future retirement benefits cash flows, used to determine benefit obligation of defined benefit plan. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 715 -SubTopic 20 -Name Accounting Standards Codification -Section 50 -Paragraph 1 -Subparagraph (k)(1) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480506/715-20-50-1 + Details
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- Definition Weighted average rate increase of compensation, used to determine benefit obligation of defined benefit plan. Plan includes, but is not limited to, pay-related defined benefit plan. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 715 -SubTopic 20 -Name Accounting Standards Codification -Section 50 -Paragraph 1 -Subparagraph (k)(2) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480506/715-20-50-1 + Details
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- Definition Weighted average rate for present value of future retirement benefits cash flows, used to determine net periodic benefit cost of defined benefit plan. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 715 -SubTopic 20 -Name Accounting Standards Codification -Section 50 -Paragraph 1 -Subparagraph (k)(1) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480506/715-20-50-1 + Details
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- Definition Weighted average rate of return on plan assets, reflecting average rate of earnings expected on existing plan assets and expected contributions, used to determine net periodic benefit cost of defined benefit plan. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 715 -SubTopic 20 -Name Accounting Standards Codification -Section 50 -Paragraph 8 -Publisher FASB -URI https://asc.fasb.org//1943274/2147480506/715-20-50-8 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 715 -SubTopic 20 -Name Accounting Standards Codification -Section 50 -Paragraph 1 -Subparagraph (k)(3) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480506/715-20-50-1 + Details
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- Definition Weighted average rate of compensation increase used to determine net periodic benefit cost of defined benefit plan. Plan includes, but is not limited to, pay-related defined benefit plan. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 715 -SubTopic 20 -Name Accounting Standards Codification -Section 50 -Paragraph 1 -Subparagraph (k)(2) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480506/715-20-50-1 + Details
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