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Income Taxes - Schedule of Deferred Tax Assets and Liabilities (Details) - USD ($)
$ in Millions
Jun. 01, 2024
Jun. 03, 2023
Deferred tax assets:    
Compensation-related accruals $ 16.5 $ 15.2
Capitalized research and experimental costs 32.4 17.6
Accrued pension and post-retirement benefit obligations 1.3 0.4
Deferred revenue 6.1 5.6
Inventory related 13.4 16.1
Other reserves and accruals 9.4 10.9
Warranty 16.8 18.0
State and local tax net operating loss carryforwards and credits 5.7 4.7
Federal net operating loss carryforward 3.0 5.2
Federal and state nondeductible interest expense carryforward 18.7 7.9
Foreign tax net operating loss carryforwards and credits 18.0 14.2
Lease liability 96.6 109.6
Other 6.4 5.8
Subtotal 244.3 231.2
Valuation allowance (15.4) (12.7)
Total 228.9 218.5
Deferred tax liabilities:    
Book basis in property in excess of tax basis 55.1 64.0
Intangible assets 189.7 196.3
Interest rate swap 15.2 14.1
Right of use lease assets 85.3 99.1
Withholding taxes on planned repatriation of foreign earnings 3.7 5.8
Other 4.4 2.3
Total $ 353.4 $ 381.6