Financial Information of Registrant (Parent Company Only) - Schedule of Statements of Cash Flows (Details) - USD ($) $ in Millions	12 Months Ended
Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Cash Flows from Operating Activities:
Net loss	$ (54.3)	$ (211.9)	$ (156.9)
Adjustments to reconcile net loss to cash provided by operating activities:
Cash provided by operating activities	286.6	46.1	143.0
Cash Flows from Investing Activities:
Cash used in investing activities	(43.6)	(45.4)	(68.5)
Cash Flows from Financing Activities:
Proceeds from Issuance Initial Public Offering	1,426.4	0.0	0.0
Payment of initial public offering costs	(9.2)	0.0	0.0
Proceeds from exercise of stock options	13.1	1.8	0.0
Repurchase of common stock	0.0	0.0	(0.3)
Cash provided by (used in) financing activities	(74.7)	55.8	(64.4)
Effect of exchange rate changes on cash	(0.9)	3.7	(0.7)
Increase (decrease) in cash, cash equivalents and restricted cash	167.4	60.2	9.4
Cash, cash equivalents and restricted cash at beginning of year	144.2	84.0	74.6
Cash, cash equivalents and restricted cash at end of year	311.6	144.2	84.0
Parent Company
Cash Flows from Operating Activities:
Net loss	(54.3)	(211.9)	(156.9)
Adjustments to reconcile net loss to cash provided by operating activities:
Equity loss in subsidiaries	50.8	211.9	156.9
Changes in operating assets and liabilities	4.5	0.0	0.0
Cash provided by operating activities	1.0	0.0	0.0
Cash Flows from Investing Activities:
Increase in investment in subsidiaries	(1,416.1)	0.0	0.0
Net increase in intercompany loans	0.0	0.0	(3.3)
Cash used in investing activities	(1,416.1)	0.0	(3.3)
Cash Flows from Financing Activities:
Proceeds from Issuance Initial Public Offering	1,426.4	0.0	0.0
Payment of initial public offering costs	(9.2)	0.0	0.0
Proceeds from exercise of stock options	13.1	1.8	0.0
Repurchase of common stock	0.0	0.0	(0.3)
Cash provided by (used in) financing activities	1,430.3	1.8	(0.3)
Effect of exchange rate changes on cash	0.0	0.0	0.0
Increase (decrease) in cash, cash equivalents and restricted cash	15.2	1.8	(3.6)
Cash, cash equivalents and restricted cash at beginning of year	1.8	0.0	3.6
Cash, cash equivalents and restricted cash at end of year	$ 17.0	$ 1.8	$ 0.0

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