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Revenue - Revenue by Country (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2023	Jan. 01, 2023	Jan. 02, 2022
Disaggregation of Revenue [Line Items]
Revenue from services	$ 4,835.7	$ 4,965.4	$ 4,909.7
United States
Disaggregation of Revenue [Line Items]
Revenue from services	3,555.8	3,671.5	3,513.4
Canada
Disaggregation of Revenue [Line Items]
Revenue from services	189.8	168.2	155.0
Puerto Rico
Disaggregation of Revenue [Line Items]
Revenue from services	107.0	112.4	102.1
Mexico
Disaggregation of Revenue [Line Items]
Revenue from services	75.7	46.5	92.7
Total Americas Region
Disaggregation of Revenue [Line Items]
Revenue from services	3,928.3	3,998.6	3,863.2
Switzerland
Disaggregation of Revenue [Line Items]
Revenue from services	224.2	222.8	222.2
France
Disaggregation of Revenue [Line Items]
Revenue from services	194.4	199.4	223.1
Portugal
Disaggregation of Revenue [Line Items]
Revenue from services	189.4	169.5	158.2
Italy
Disaggregation of Revenue [Line Items]
Revenue from services	63.9	69.3	74.2
Russia
Disaggregation of Revenue [Line Items]
Revenue from services	0.0	63.4	132.2
Other
Disaggregation of Revenue [Line Items]
Revenue from services	191.8	200.3	197.1
Total Europe Region
Disaggregation of Revenue [Line Items]
Revenue from services	863.7	924.7	1,007.0
Total Asia-Pacific Region
Disaggregation of Revenue [Line Items]
Revenue from services	$ 43.7	$ 42.1	$ 39.5

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