Related party transactions - Additional Information (Details) - USD ($) $ in Millions	12 Months Ended
Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Related Party Transaction [Line Items]
Net revenue	$ 2,042.8	$ 1,766.2	$ 1,801.5
Carlyle Investment Management, L.L.C. [Member]
Related Party Transaction [Line Items]
Due to related party		0.3
Consulting fees	1.4	1.1	0.8
Carlyle Investment Management, L.L.C. [Member] \| Health Care Diagnostics Companies
Related Party Transaction [Line Items]
Net revenue	6.3	3.8	3.5
Accounts receivable	$ 1.2	1.2
Carlyle Investment Management, L.L.C. [Member] \| Healthcare Equipment Company
Related Party Transaction [Line Items]
Due to related party	immaterial
Due to related party		0.0
Inventories, purchased	$ 2.3	2.4
Carlyle Investment Management, L.L.C. [Member] \| Information Technology Company
Related Party Transaction [Line Items]
Due to related party	immaterial
Due to related party		0.1
IT service fees	$ 1.3	1.1	0.6
Carlyle Investment Management, L.L.C. [Member] \| Consulting Services Company
Related Party Transaction [Line Items]
Management fee	$ 3.0
Agreement, initial term	10 years
Management fee and other out-of-pocket expenses	$ 3.0	3.0	$ 3.1
Due to related party	immaterial
Carlyle Investment Management, L.L.C. [Member] \| Security Services Company
Related Party Transaction [Line Items]
Due to related party	$ 0.2
Security service expense	1.1
Carlyle Investment Management, L.L.C. [Member] \| Pharmacy Benefit Management
Related Party Transaction [Line Items]
Due to related party	0.3	0.6
Pharmacy related services, fees	$ 6.1	$ 5.7

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Pharmacy related services fee.

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