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Revenue - Revenue by Country (Details) - USD ($) $ in Millions | 12 Months Ended
--- | ---
Jan. 02, 2022 | Jan. 03, 2021 | Dec. 29, 2019
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | $ 4,909.7 | $ 4,516.0 | $ 5,355.6
United States |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 3,513.4 | 3,260.2 | 3,892.5
Canada |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 155.0 | 122.5 | 136.1
Puerto Rico |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 102.1 | 77.0 | 74.6
Mexico |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 92.7 | 114.4 | 123.6
Brazil |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 0.0 | 17.0 | 34.1
Total Americas Region |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 3,863.2 | 3,591.1 | 4,260.9
France |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 223.1 | 198.2 | 248.6
Switzerland |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 222.2 | 200.4 | 200.7
Portugal |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 158.2 | 141.7 | 179.8
Russia |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 132.2 | 118.5 | 117.6
Italy |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 74.2 | 58.2 | 75.9
United Kingdom |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 68.3 | 73.7 | 103.1
Germany |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 34.0 | 30.1 | 41.6
Ireland |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 26.8 | 19.9 | 33.1
Other |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 68.0 | 54.6 | 67.5
Total Europe Region |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 1,007.0 | 895.3 | 1,067.9
Total Asia-Pacific Region |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | $ 39.5 | $ 29.6 | $ 26.8

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