Property, Plant, and Equipment - Schedule of Property, Plant, and Equipment (Details) - USD ($) $ in Millions |
Nov. 30, 2022 |
Aug. 31, 2022 |
|---|---|---|
| Property, Plant and Equipment [Line Items] | ||
| Total property, plant, and equipment, at cost | $ 906.1 | $ 891.9 |
| Less: Accumulated depreciation and amortization | (626.5) | (615.4) |
| Property, plant, and equipment, net | 279.6 | 276.5 |
| Land | ||
| Property, Plant and Equipment [Line Items] | ||
| Total property, plant, and equipment, at cost | 22.2 | 22.0 |
| Buildings and leasehold improvements | ||
| Property, Plant and Equipment [Line Items] | ||
| Total property, plant, and equipment, at cost | 202.8 | 202.3 |
| Machinery and equipment | ||
| Property, Plant and Equipment [Line Items] | ||
| Total property, plant, and equipment, at cost | $ 681.1 | $ 667.6 |