Quarterly Financial Information (unaudited) - Schedule of Quarterly Financial Information (Unaudited) (Details) - USD ($) $ / shares in Units, $ in Millions	3 Months Ended								12 Months Ended
	Dec. 30, 2023	Sep. 30, 2023	Jul. 01, 2023	Apr. 01, 2023	Dec. 31, 2022	Oct. 01, 2022	Jul. 02, 2022	Apr. 02, 2022	Dec. 30, 2023	Dec. 31, 2022	Jan. 01, 2022
Quarterly Financial Information Disclosure [Abstract]
Revenue, net	$ 438.7	$ 470.0	$ 450.6	$ 412.5	$ 405.1	$ 447.9	$ 440.3	$ 399.9	$ 1,771.8	$ 1,693.2	$ 1,576.4
Cost of sales	154.8	166.7	159.8	153.5	156.4	174.6	177.1	165.9	634.8	674.0	685.4
Gross profit	283.9	303.3	290.8	259.0	248.7	273.3	263.2	234.0	1,137.0	1,019.2	891.0
Selling, general and administrative expenses	250.0	244.8	246.6	234.6	221.3	228.0	222.9	211.6	976.0	883.8	769.8
Loss on disposal of property, plant and equipment, net	5.3	1.6	0.9	1.3	3.3	2.5	0.2	1.4	9.1	7.4	9.1
Acquisition and integration expenses	3.5	2.4	1.9	1.7	2.6	2.5	4.0	3.0	9.5	12.1	9.1
Impairment charges					0.0	0.0	11.2	0.0		11.2
Gain on sale of property	(15.7)	(5.3)	0.0	0.0	(38.8)	0.0	0.0	0.0	(21.0)	(38.8)	0.0
Operating income	40.8	59.8	41.4	21.4	60.3	40.3	24.9	18.0	163.4	143.5	103.0
Other (income) expense, net	4.9	(4.0)	0.6	(0.3)	(2.2)	2.0	(0.9)	(1.4)	1.2	(2.5)	22.1
Interest expense, net	16.6	17.8	18.8	18.2	18.2	16.6	16.6	16.4	71.4	67.8	68.3
Income from continuing operations before income taxes	19.3	46.0	22.0	3.5	44.3	21.7	9.2	3.0	90.8	78.2	12.6
Income tax expense	6.0	12.3	8.4	0.3	9.5	6.6	1.2	2.2	27.0	19.5	7.7
Net income from continuing operations	13.3	33.7	13.6	3.2	34.8	15.1	8.0	0.8	63.8	58.7	4.9
Net income (loss) from discontinued operations, net of income taxes	164.3	(0.3)	7.7	2.6	22.7	(13.8)	(30.5)	(7.5)	174.3	(29.1)	$ (8.1)
Net income (loss)	$ 177.6	$ 33.4	$ 21.3	$ 5.8	$ 57.5	$ 1.3	$ (22.5)	$ (6.7)	$ 238.1	$ 29.6
Basic:
Continuing operations (In USD per share)	$ 0.08	$ 0.21	$ 0.09	$ 0.02	$ 0.22	$ 0.09	$ 0.05	$ 0	$ 0.40	$ 0.36	$ 0.03
Discontinued operations (In USD per share)	1.03	0	0.04	0.02	0.14	(0.08)	(0.19)	(0.04)	1.09	(0.18)	(0.05)
Net income (loss) (In USD per share)	1.11	0.21	0.13	0.04	0.36	0.01	(0.14)	(0.04)	1.49	0.18	(0.02)
Diluted:
Continuing operations (In USD per share)	0.08	0.21	0.09	0.02	0.22	0.09	0.05	0	0.40	0.36	0.03
Discontinued operations (In USD per share)	1.03	0	0.04	0.02	0.14	(0.08)	(0.19)	(0.04)	1.08	(0.18)	(0.05)
Net income (loss) (In USD per share)	$ 1.11	$ 0.21	$ 0.13	$ 0.04	$ 0.36	$ 0.01	$ (0.14)	$ (0.04)	$ 1.48	$ 0.18	$ (0.02)