Income Taxes (Unrecognized Tax Benefits) (Details) - USD ($) $ in Millions	12 Months Ended
Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Beginning of year	$ 32.3	$ 24.5	$ 25.0
Increase due to FLIR acquisition	413.8	0.0	0.0
Increase for tax positions taken during the current period	6.3	9.4	4.3
Increase in prior year tax positions	2.5	5.1	4.2
Reduction related to settlements with taxing authorities	(1.6)	(1.9)	(4.6)
Reduction related to lapse of the statute of limitations	(20.7)	(4.9)	(4.3)
Impact of exchange rate changes		0.1
Impact of exchange rate changes	(30.6)		(0.1)
End of year	$ 402.0	$ 32.3	$ 24.5

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

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Amount of decrease in unrecognized tax benefits resulting from foreign currency translation.

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Amount of increase in unrecognized tax benefits resulting from acquisitions.

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

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