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Revenue - Revenue by Country (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 03, 2021	Dec. 29, 2019	Dec. 30, 2018
Disaggregation of Revenue [Line Items]
Revenue from services	$ 4,516.0	$ 5,355.6	$ 5,513.9
United States
Disaggregation of Revenue [Line Items]
Revenue from services	3,260.2	3,892.5	3,930.0
Canada
Disaggregation of Revenue [Line Items]
Revenue from services	122.5	136.1	142.4
Mexico
Disaggregation of Revenue [Line Items]
Revenue from services	114.4	123.6	125.0
Puerto Rico
Disaggregation of Revenue [Line Items]
Revenue from services	77.0	74.6	96.6
Brazil
Disaggregation of Revenue [Line Items]
Revenue from services	17.0	34.1	35.2
Total Americas Region
Disaggregation of Revenue [Line Items]
Revenue from services	3,591.1	4,260.9	4,329.2
France
Disaggregation of Revenue [Line Items]
Revenue from services	198.2	248.6	278.9
Switzerland
Disaggregation of Revenue [Line Items]
Revenue from services	200.4	200.7	212.7
Portugal
Disaggregation of Revenue [Line Items]
Revenue from services	141.7	179.8	196.9
Russia
Disaggregation of Revenue [Line Items]
Revenue from services	118.5	117.6	100.4
United Kingdom
Disaggregation of Revenue [Line Items]
Revenue from services	73.7	103.1	108.8
Italy
Disaggregation of Revenue [Line Items]
Revenue from services	58.2	75.9	77.5
Germany
Disaggregation of Revenue [Line Items]
Revenue from services	30.1	41.6	57.1
Ireland
Disaggregation of Revenue [Line Items]
Revenue from services	19.9	33.1	44.6
Other
Disaggregation of Revenue [Line Items]
Revenue from services	54.6	67.5	85.6
Total Europe Region
Disaggregation of Revenue [Line Items]
Revenue from services	895.3	1,067.9	1,162.5
Total Asia-Pacific Region
Disaggregation of Revenue [Line Items]
Revenue from services	$ 29.6	$ 26.8	$ 22.2

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