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Fair Value Measurements - Interest Rate Swap (Details) - USD ($) $ in Millions | 3 Months Ended | 9 Months Ended
--- | --- | ---
Mar. 02, 2024 | Mar. 04, 2023 | Mar. 02, 2024 | Mar. 04, 2023
Derivative [Line Items] |  |  |  |
(Loss) Gain recognized in Other comprehensive loss (income) (effective portion) | $ (1.1) | $ 10.3 | $ (1.2) | $ 31.8
Gain reclassified from Accumulated other comprehensive loss into earnings | 7.9 | $ 4.9 | 23.0 | $ 6.9
September 2016 Interest Rate Swap |  |  |  |
Derivative [Line Items] |  |  |  |
Notional Amount | 150.0 |  | $ 150.0 |
Effective Fixed Interest Rate |  |  | 1.91% |
June 2017 Interest Rate Swap |  |  |  |
Derivative [Line Items] |  |  |  |
Notional Amount | 75.0 |  | $ 75.0 |
Effective Fixed Interest Rate |  |  | 2.348% |
January 2022 Interest Rate Swap |  |  |  |
Derivative [Line Items] |  |  |  |
Notional Amount | 575.0 |  | $ 575.0 |
Effective Fixed Interest Rate |  |  | 1.65% |
March 2023 Interest Rate Swap |  |  |  |
Derivative [Line Items] |  |  |  |
Notional Amount | $ 150.0 |  | $ 150.0 |
Effective Fixed Interest Rate |  |  | 3.95% |

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