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Employee Benefit Plans - Schedule of Funded Status and Amounts Recognized in the Balance Sheet (Details) - USD ($) $ in Millions | 12 Months Ended
--- | ---
Jun. 03, 2023 | May 28, 2022 | May 29, 2021
Components of the amounts recognized in the Consolidated Balance Sheets: |  |  |
Pension and post-retirement benefits | $ 7.5 | $ 25.0 |
United States | Pension Plan |  |  |
Change in benefit obligation: |  |  |
Benefit obligation at beginning of year | 152.6 | 0.0 |
Acquisition of Knoll | 0.0 | 189.8 |
Interest cost | 6.1 | 3.9 | $ 0.0
Expected Administrative Expenses | 0.6 | 0.5 | 0.0
Loss related to settlement | 4.7 | 1.0 |
Foreign exchange impact | 0.0 | 0.0 |
Actuarial gain (loss) | (18.2) | (28.0) |
Administrative expenses paid | (0.7) | (0.5) |
Benefits paid | (7.2) | (4.2) |
Benefits paid related to settlement | (14.1) | (9.9) |
Benefit obligation at end of year | 123.8 | 152.6 | 0.0
Change in plan assets: |  |  |
Fair value of plan assets at beginning of year | 144.0 | 0.0 |
Acquisition of Knoll | 0.0 | 175.4 |
Actual return on plan assets | (2.9) | (16.8) |
Foreign exchange impact |  | 0.0 |
Employer contributions | 7.2 | 0.0 |
Actual expenses paid | (0.7) | (0.5) |
Benefits paid | (21.3) | (14.1) |
Fair value of plan assets at end of year | 126.3 | 144.0 | 0.0
Funded status: |  |  |
Over (under) funded status at end of year | 2.5 | (8.6) |
Components of the amounts recognized in the Consolidated Balance Sheets: |  |  |
Current assets | 0.0 | 0.0 |
Non-current assets | 2.5 | 0.0 |
Current liabilities | 0.0 | 0.0 |
Pension and post-retirement benefits | 0.0 | 8.6 |
Components of the amounts recognized in Accumulated other comprehensive loss before the effect of income taxes: |  |  |
Prior service cost | 0.0 | 0.0 |
Unrecognized net actuarial (gain) loss | (4.4) | (2.8) |
Accumulated other comprehensive (gain) loss | (4.4) | (2.8) |
International |  |  |
Change in benefit obligation: |  |  |
Expected Administrative Expenses |  | 0.0 |
Loss related to settlement |  | 0.0 |
Administrative expenses paid |  | 0.0 |
Benefits paid related to settlement |  | 0.0 |
International | Pension Plan |  |  |
Change in benefit obligation: |  |  |
Benefit obligation at beginning of year | 104.5 | 140.9 |
Acquisition of Knoll | 0.0 | 0.0 |
Interest cost | 3.1 | 2.4 | 2.2
Expected Administrative Expenses | 0.0 | 0.0 | 0.0
Loss related to settlement | 0.0 |  |
Foreign exchange impact | (2.5) | (14.1) |
Actuarial gain (loss) | (26.2) | (21.9) |
Administrative expenses paid | 0.0 |  |
Benefits paid | (2.9) | (2.8) |
Benefits paid related to settlement | 0.0 |  |
Benefit obligation at end of year | 76.0 | 104.5 | 140.9
Change in plan assets: |  |  |
Fair value of plan assets at beginning of year | 93.5 | 109.9 |
Acquisition of Knoll | 0.0 | 0.0 |
Actual return on plan assets | (9.1) | (6.9) |
Foreign exchange impact | (1.6) | (11.8) |
Employer contributions | 4.5 | 5.0 |
Actual expenses paid | 0.0 | 0.0 |
Benefits paid | (2.9) | (2.7) |
Fair value of plan assets at end of year | 84.4 | 93.5 | $ 109.9
Funded status: |  |  |
Over (under) funded status at end of year | 8.4 | (11.0) |
Components of the amounts recognized in the Consolidated Balance Sheets: |  |  |
Current assets | 0.0 | 0.0 |
Non-current assets | 8.4 | 0.0 |
Current liabilities | 0.0 | 0.0 |
Pension and post-retirement benefits | 0.0 | 10.9 |
Components of the amounts recognized in Accumulated other comprehensive loss before the effect of income taxes: |  |  |
Prior service cost | 0.4 | 0.5 |
Unrecognized net actuarial (gain) loss | 25.7 | 41.4 |
Accumulated other comprehensive (gain) loss | $ 26.1 | $ 41.9 |

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