Stockholders' Equity - Changes in Accumulated Other Comprehensive Income by Component, Net of Tax (Details) - USD ($) $ in Millions		12 Months Ended
		Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]
Balance at beginning of year		$ 1,203.0	$ 1,264.5
Balance at end of year		1,336.2	1,203.0	$ 1,264.5
Foreign currency translation adjustments:
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]
Balance at beginning of year		(0.8)	(13.2)	(15.7)
Other comprehensive income (loss) before classifications		(24.2)	13.9	2.5
Amounts reclassified from accumulated other comprehensive income	[1]	0.0	(1.5)	0.0
Net current-period other comprehensive income (loss)		(24.2)	12.4	2.5
Balance at end of year		(25.0)	(0.8)	(13.2)
Pension liability adjustments:
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]
Balance at beginning of year		(3.4)	(2.6)	(1.4)
Other comprehensive income (loss) before classifications		0.5	(0.9)	(1.3)
Amounts reclassified from accumulated other comprehensive income	[2]	0.2	0.1	0.1
Net current-period other comprehensive income (loss)		0.7	(0.8)	(1.2)
Balance at end of year		(2.7)	(3.4)	(2.6)
Accumulated Other Comprehensive Income (Loss)
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]
Balance at beginning of year		(4.2)	(15.8)	(17.1)
Balance at end of year		$ (27.7)	$ (4.2)	$ (15.8)

[1] Amount was recorded in the other income (expense), net line item in the consolidated statements of earnings.

[2] Amount was recorded in the SG&A expenses line item in the consolidated statements of earnings.