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Employee Benefit Plans - Schedule of Net Benefit Costs (Details) - USD ($)
$ in Millions
 12 Months Ended
May 31, 2025
Jun. 01, 2024
Jun. 03, 2023
Defined Benefit Plan, Net Periodic Benefit Cost (Credit) [Abstract]      
Knoll pension plan termination charges $ 1.0 $ 0.0 $ 0.0
Domestic | Pension Plan      
Defined Benefit Plan, Net Periodic Benefit Cost (Credit) [Abstract]      
Service cost 0.9 0.0 0.0
Interest cost 2.7 6.1 6.1
Expected return on plan assets (2.0) (9.1) (8.3)
Knoll pension plan termination charges (1.5) 0.0 0.0
Expected administrative expenses 0.0 0.7 0.6
Pension plan termination gain 0.0 0.0 (0.6)
Amortization of prior service cost 0.0 0.0 0.0
Amortization of net (gain) loss 0.0 (0.1) (0.1)
Net periodic benefit (income) cost 0.1 (2.4) (2.3)
International | Pension Plan      
Defined Benefit Plan, Net Periodic Benefit Cost (Credit) [Abstract]      
Service cost 0.0 0.0 0.0
Interest cost 4.3 4.1 3.1
Expected return on plan assets (5.7) (5.0) (4.7)
Knoll pension plan termination charges 0.0 0.0 0.0
Expected administrative expenses 0.0 0.0 0.0
Pension plan termination gain 0.0 0.0 0.0
Amortization of prior service cost 0.1 0.1 0.1
Amortization of net (gain) loss 0.6 0.0 2.2
Net periodic benefit (income) cost $ (0.7) $ (0.8) $ 0.7