Supplemental Cash Flow Information - Changes In Operating Assets And Liabilities, Net of Acquisitions (Details) - USD ($) $ in Millions	12 Months Ended
Dec. 31, 2023	Jan. 01, 2023	Jan. 02, 2022
Supplemental Cash Flow Elements [Abstract]
(Increase) decrease in trade accounts receivable	$ 147.2	$ (99.3)	$ (150.7)
(Increase) decrease in prepaid expenses and other assets	(10.7)	(24.6)	5.0
(Increase) decrease in ROU assets	(2.2)	(0.1)	7.7
Increase (decrease) in accounts payable and accrued liabilities	(62.5)	44.3	155.8
Increase (decrease) in operating lease liabilities	(14.3)	(18.7)	(29.7)
Increase (decrease) in accrued payroll and related taxes	(59.8)	(59.3)	12.5
Increase (decrease) in accrued workers’ compensation and other claims	0.3	(5.2)	(6.2)
Increase (decrease) in income and other taxes	0.0	21.9	(4.6)
Total changes in operating assets and liabilities, net of acquisitions	$ (2.0)	$ (141.0)	$ (10.2)

Increase (Decrease) in Operating Lease Liabilities

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- Definition

Increase (Decrease) in Right-of-use Assets, Real Estate and Equipment

+ References

No definition available.

+ Details

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- Definition

The increase (decrease) during the reporting period in the amounts payable to vendors for goods and services received and the amount of obligations and expenses incurred but not paid.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Section 45
-Paragraph 28
-Subparagraph (a)
-SubTopic 10
-Topic 230
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147482740/230-10-45-28

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- Definition

The increase (decrease) during the reporting period in amount due within one year (or one business cycle) from customers for the credit sale of goods and services.

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+ Details

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- Definition

The increase (decrease) during the reporting period of all taxes owed but not paid, including income, property and other taxes.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 230
-SubTopic 10
-Name Accounting Standards Codification
-Section 45
-Paragraph 28
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147482740/230-10-45-28

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- Definition

The increase (decrease) during the reporting period in the aggregate amount of obligations related to services received from employees, such as accrued salaries and bonuses, payroll taxes and fringe benefits.

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- Definition

The increase (decrease) during the reporting period of all assets and liabilities used in operating activities.

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- Definition

Amount of increase (decrease) in prepaid expenses, and assets classified as other.

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- Definition

The increase (decrease) during the reporting period in the amount due for insurance (or actual expenses) to cover the medical expenses and lost income for employees that are injured during the course of doing work-related activities.

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- References

No definition available.

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