Income Taxes - Unrecognized Tax Benefits (Details) - USD ($) $ in Millions	12 Months Ended
Dec. 31, 2023	Jan. 01, 2023	Jan. 02, 2022
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Beginning of year	$ 162.8	$ 402.0	$ 32.3
Increase due to business combinations	18.6	0.0	413.8
Increase for tax positions taken during the current period	3.4	2.7	6.3
Increase in prior year tax positions	3.0	0.2	2.5
Reduction related to settlements with taxing authorities	0.0	(223.3)	(1.6)
Reduction related to lapse of the statute of limitations	(96.3)	(26.4)	(20.7)
Impact of exchange rate changes			(30.6)
Impact of exchange rate changes	5.0	7.6
End of year	$ 96.5	$ 162.8	$ 402.0

A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period.

No definition available.

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- Definition

Amount of unrecognized tax benefits.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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-Section 50
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Amount of decrease in unrecognized tax benefits resulting from foreign currency translation.

+ References

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Amount of decrease in unrecognized tax benefits resulting from settlements with taxing authorities.

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Amount of increase in unrecognized tax benefits resulting from acquisitions.

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Amount of increase in unrecognized tax benefits resulting from tax positions that have been or will be taken in current period tax return.

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Amount of increase in unrecognized tax benefits resulting from tax positions taken in prior period tax returns.

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Amount of decrease in unrecognized tax benefits resulting from lapses of applicable statutes of limitations.

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