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Revenue - Disaggregation of Revenues by Geographic Region (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
Americas
Disaggregation of Revenue [Line Items]
Revenue from services	3,928.3	3,998.6	3,863.2
Asia Pacific
Disaggregation of Revenue [Line Items]
Revenue from services	43.7	42.1	39.5
Science, Engineering & Technology
Disaggregation of Revenue [Line Items]
Revenue from services	1,190.8	1,265.4	1,156.8
Science, Engineering & Technology | Americas
Disaggregation of Revenue [Line Items]
Revenue from services	1,175.2	1,250.3	1,149.3
Science, Engineering & Technology | Europe
Disaggregation of Revenue [Line Items]
Revenue from services	15.6	15.1	7.5
Outsourcing & Consulting
Disaggregation of Revenue [Line Items]
Revenue from services	454.7	468.0	432.1
Outsourcing & Consulting | Americas
Disaggregation of Revenue [Line Items]
Revenue from services	375.0	403.3	369.4
Outsourcing & Consulting | Europe
Disaggregation of Revenue [Line Items]
Revenue from services	36.0	22.6	23.2
Outsourcing & Consulting | Asia Pacific
Disaggregation of Revenue [Line Items]
Revenue from services	43.7	42.1	39.5
International
Disaggregation of Revenue [Line Items]
Revenue from services	884.8	932.2	1,067.8
International | Americas
Disaggregation of Revenue [Line Items]
Revenue from services	72.7	45.2	91.5
International | Europe
Disaggregation of Revenue [Line Items]
Revenue from services	$ 812.1	$ 887.0	$ 976.3

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