Restructuring - Schedule of Restructuring and Related Costs (Details) - USD ($) $ in Millions	3 Months Ended		12 Months Ended
	Dec. 31, 2023	Apr. 02, 2023	Dec. 31, 2023	Jan. 01, 2023	Jan. 02, 2022
Restructuring Cost and Reserve [Line Items]
Severance Costs					$ 4.0
Total			$ 40.6	$ 1.7
2023 Actions
Restructuring Cost and Reserve [Line Items]
Severance Costs	$ 3.1	$ 4.6	19.3
Lease Termination Costs, Transformation and Other			19.3
Total		$ 5.7	38.6
2022 Actions
Restructuring Cost and Reserve [Line Items]
Severance Costs				1.5
Total				1.7
Lease Termination Costs				0.2
Selling, General and Administrative Expenses
Restructuring Cost and Reserve [Line Items]
Total				1.7	4.0
Professional & Industrial | 2023 Actions
Restructuring Cost and Reserve [Line Items]
Severance Costs			6.0
Lease Termination Costs, Transformation and Other			0.7
Total			6.7
Professional & Industrial | 2022 Actions
Restructuring Cost and Reserve [Line Items]
Severance Costs				0.1
Total				0.3
Lease Termination Costs				0.2
Science, Engineering & Technology | 2023 Actions
Restructuring Cost and Reserve [Line Items]
Severance Costs			1.3
Lease Termination Costs, Transformation and Other			0.3
Total			1.6
Education | 2023 Actions
Restructuring Cost and Reserve [Line Items]
Severance Costs			1.0
Lease Termination Costs, Transformation and Other			0.0
Total			1.0
Education | 2022 Actions
Restructuring Cost and Reserve [Line Items]
Severance Costs				0.4
Total				0.4
Lease Termination Costs				0.0
Outsourcing & Consulting | 2023 Actions
Restructuring Cost and Reserve [Line Items]
Severance Costs			3.0
Lease Termination Costs, Transformation and Other			0.0
Total			3.0
Outsourcing & Consulting | 2022 Actions
Restructuring Cost and Reserve [Line Items]
Severance Costs				0.2
Total				0.2
Lease Termination Costs				0.0
International
Restructuring Cost and Reserve [Line Items]
Severance Costs					1.2
International | 2023 Actions
Restructuring Cost and Reserve [Line Items]
Severance Costs			3.3
Lease Termination Costs, Transformation and Other			0.0
Total			3.3
Corporate
Restructuring Cost and Reserve [Line Items]
Severance Costs					$ 2.8
Corporate | 2023 Actions
Restructuring Cost and Reserve [Line Items]
Severance Costs			4.7
Lease Termination Costs, Transformation and Other			18.3
Total			$ 23.0
Corporate | 2022 Actions
Restructuring Cost and Reserve [Line Items]
Severance Costs				0.8
Total				0.8
Lease Termination Costs				$ 0.0