Share-Based Compensation - Share-based Compensation Expense (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total	$ 17.2	$ 17.5	$ 22.7
ESPP
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total	0.3	0.3	0.3
Stock options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total	0.8	3.0	5.5
Performance-based RSUs
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total	6.5	7.4	7.8
Time-based RSUs
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total	8.4	5.5	4.9
Director share awards
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total	1.2	1.3	1.3
Liability-classified awards
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total	$ 0.0	$ 0.0	2.9
Discontinued Operations, Held-for-sale
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total			$ 0.6