Business Segments - Business Segment Information (Detail) - USD ($) $ in Millions	12 Months Ended
	Dec. 30, 2023	Dec. 31, 2022	Jan. 01, 2022
Segment Reporting Information [Line Items]
Revenue	$ 2,242.9	$ 2,684.8	$ 2,414.9
Operating profit (loss)	(68.2)	(208.4)	155.7
Interest Expense	(63.5)	(47.3)	(37.4)
Debt extinguishment and other costs	0.0	0.0	34.3
Other Nonoperating Income (Expense)	(2.5)	2.8	(3.7)
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest	(134.2)	(252.9)	80.3
Depreciation and amortization expense	35.1	34.6	33.2
Segment, Expenditure, Addition to Long-Lived Assets	14.6	36.5	17.6
Total assets	2,062.8	2,492.7
Goodwill	427.1	485.0	556.6
Active Group
Segment Reporting Information [Line Items]
Revenue	1,439.1	1,570.2	1,319.6
Operating profit (loss)	140.3	198.4	229.5
Depreciation and amortization expense	10.7	8.1	5.4
Segment, Expenditure, Addition to Long-Lived Assets	9.7	18.9	5.0
Total assets	1,183.9	1,331.5
Goodwill	317.7	314.4
Work Group
Segment Reporting Information [Line Items]
Revenue	480.6	590.5	548.8
Operating profit (loss)	58.1	102.5	103.8
Depreciation and amortization expense	0.4	0.3	0.3
Segment, Expenditure, Addition to Long-Lived Assets	0.1	0.4	0.4
Total assets	288.4	375.7
Goodwill	60.3	59.6
Other Segments [Member]
Segment Reporting Information [Line Items]
Revenue	323.2	524.1	546.5
Operating profit (loss)	32.8	59.9	75.6
Depreciation and amortization expense	2.9	3.4	3.9
Segment, Expenditure, Addition to Long-Lived Assets	0.1	5.2	1.8
Total assets	250.8	573.4
Goodwill	49.1	111.0
Corporate [Member]
Segment Reporting Information [Line Items]
Operating profit (loss)	(299.4)	(569.2)	(253.2)
Depreciation and amortization expense	21.1	22.8	23.6
Segment, Expenditure, Addition to Long-Lived Assets	4.7	12.0	$ 10.4
Total assets	$ 339.7	$ 212.1