CONSOLIDATED STATEMENTS OF CASH FLOWS - USD ($) $ in Millions	12 Months Ended
	Dec. 30, 2022	Dec. 31, 2021	Jan. 01, 2021
Net Cash Provided by (Used in) Operating Activities [Abstract]
Net Income (Loss), Including Portion Attributable to Noncontrolling Interest	$ 97.7	$ 79.9	$ 46.3
Adjustments, Noncash Items, to Reconcile Net Income (Loss) to Cash Provided by (Used in) Operating Activities [Abstract]
Depreciation and amortization	92.5	96.8	95.0
Amortization of debt issuance costs	0.6	0.6	0.5
Share-based compensation expense	6.9	7.6	7.5
Asset impairment charges	3.5	3.8	11.8
Change in uncertain tax positions	1.7	2.3	0.6
Loss (gain) on disposal of property, plant and equipment, net	1.9	(4.6)	(22.2)
Deferred income taxes	2.5	(15.0)	(0.5)
Adjustment of Kunia Well Site environmental liability in Hawaii	(9.9)	0.0	0.0
Other, net	1.6	(11.1)	5.0
Changes in operating assets and liabilities
Receivables	(37.4)	(13.9)	16.1
Inventories	(72.1)	(105.1)	38.7
Prepaid expenses and other current assets	(0.2)	7.2	(12.7)
Accounts payable and accrued expenses	(17.8)	78.3	(11.7)
Other noncurrent assets and liabilities	(9.7)	1.7	6.2
Net Cash Provided by Operating Activities, Total	61.8	128.5	180.6
Net Cash Provided by (Used in) Investing Activities [Abstract]
Payments to Acquire Productive Assets	(48.1)	(98.5)	(150.0)
Payments to Acquire Interest in Subsidiaries and Affiliates	9.7	7.0	0.0
Proceeds from Sale of Property, Plant, and Equipment	8.7	17.5	39.5
Payments for (Proceeds from) Derivative Instrument, Investing Activities	(0.2)	4.6	0.0
Proceeds from sale of investment	0.0	0.0	0.5
Other investing activities	0.2	0.9	1.2
Net cash used in investing activities	(49.1)	(82.5)	(108.8)
Net Cash (Used in) Provided by Financing Activities [Abstract]
Proceeds from long-term debt	1,066.3	703.4	751.8
Payments on long-term debt	(1,045.6)	(726.0)	(796.8)
Distributions to noncontrolling interests	(0.9)	(6.5)	(6.9)
Repurchase and retirement of ordinary shares	0.0	0.0	(20.8)
Share-based awards settled in cash for taxes	(1.6)	(0.4)	(0.6)
Dividends paid	(28.7)	(23.7)	(14.3)
Other Financing Activities	(1.5)	0.0	1.8
Net cash used in financing activities	(12.0)	(53.2)	(85.8)
Effect of Exchange Rate on Cash, Cash Equivalents, Restricted Cash, and Restricted Cash Equivalents, Continuing Operations	0.4	6.8	(2.8)
Cash and cash equivalents, beginning	16.1	16.5	33.3
Cash and cash equivalents, ending	17.2	16.1	16.5
Supplemental cash flow information:
Cash paid for interest	23.5	19.9	20.6
Right-of-Use Asset Obtained in Exchange for Finance Lease Liability	0.1	9.9	0.0
Cash paid for income taxes	13.3	9.5	9.2
Non-cash financing and investing activities:
Right-of-use assets obtained in exchange for new operating lease obligations	59.6	78.8	50.7
Retirement of ordinary shares	0.0	0.0	20.8
Dividends on restricted stock units	0.0	0.2	0.4
Net increase (decrease) in cash and cash equivalents	$ 1.1	$ (0.4)	$ (16.8)