Investments and Fair Value Measurements - Fair Value of Contingent Consideration (Details) - USD ($) $ in Millions |
3 Months Ended | 9 Months Ended | ||
|---|---|---|---|---|
May 25, 2024 |
May 27, 2023 |
May 25, 2024 |
May 27, 2023 |
|
| Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward] | ||||
| Beginning fair value - contingent consideration | $ 19.5 | $ 41.8 | $ 18.4 | $ 39.8 |
| Fair value adjustments | 0.0 | 0.0 | 1.1 | 2.0 |
| Settlements | (20.5) | (22.0) | (20.5) | (22.0) |
| Other | 1.0 | 0.0 | 1.0 | 0.0 |
| Ending fair value - contingent consideration | $ 0.0 | $ 19.8 | $ 0.0 | $ 19.8 |