Restructuring - Schedule of Restructuring and Related Costs (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Restructuring Cost and Reserve [Line Items]
Lease Termination Costs		$ 4.8
Severance Costs	$ 4.0	8.0
Total		12.8
Selling, General and Administrative Expenses
Restructuring Cost and Reserve [Line Items]
Total	4.0	12.8	$ 5.5
Professional & Industrial
Restructuring Cost and Reserve [Line Items]
Lease Termination Costs		3.5
Severance Costs		2.5
Total		6.0	5.1
Science, Engineering & Technology
Restructuring Cost and Reserve [Line Items]
Lease Termination Costs		0.5
Severance Costs		0.1
Total		0.6	$ 0.4
Education
Restructuring Cost and Reserve [Line Items]
Lease Termination Costs		0.1
Severance Costs		0.9
Total		1.0
Outsourcing & Consulting
Restructuring Cost and Reserve [Line Items]
Lease Termination Costs		0.0
Severance Costs		0.3
Total		0.3
International
Restructuring Cost and Reserve [Line Items]
Lease Termination Costs		0.7
Severance Costs	1.2	0.7
Total	1.2	1.4
Corporate
Restructuring Cost and Reserve [Line Items]
Lease Termination Costs		0.0
Severance Costs	2.8	3.5
Total	$ 2.8	$ 3.5