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Segment Information - Segments Internal Financial Reports (Detail) - USD ($) $ in Millions	3 Months Ended
	Nov. 30, 2023	Nov. 30, 2022	Aug. 31, 2023
Segment Reporting Information [Line Items]
Revenue	$ 808.8	$ 766.5
Earnings (loss) from operations	64.9	(4.8)
Assets	4,014.7		$ 3,978.4
Manufacturing
Segment Reporting Information [Line Items]
Revenue	675.9	646.5
Maintenance Services
Segment Reporting Information [Line Items]
Revenue	83.8	85.5
Leasing & Management Services
Segment Reporting Information [Line Items]
Revenue	49.1	34.5
Corporate, Non-Segment
Segment Reporting Information [Line Items]
Earnings (loss) from operations	(26.3)	(22.5)
Intersegment Eliminations
Segment Reporting Information [Line Items]
Revenue	(67.9)	(53.2)
Earnings (loss) from operations	(4.7)	(4.0)
Intersegment Eliminations | Manufacturing
Segment Reporting Information [Line Items]
Revenue	58.5	44.5
Earnings (loss) from operations	4.7	4.0
Intersegment Eliminations | Maintenance Services
Segment Reporting Information [Line Items]
Revenue	9.2	8.5
Intersegment Eliminations | Leasing & Management Services
Segment Reporting Information [Line Items]
Revenue	0.2	0.2
Operating Segments | Manufacturing
Segment Reporting Information [Line Items]
Revenue	734.4	691.0
Earnings (loss) from operations	59.0	0.6
Assets	1,799.3		1,847.0
Operating Segments | Maintenance Services
Segment Reporting Information [Line Items]
Revenue	93.0	94.0
Earnings (loss) from operations	10.6	5.5
Assets	311.3		294.4
Operating Segments | Leasing & Management Services
Segment Reporting Information [Line Items]
Revenue	49.3	34.7
Earnings (loss) from operations	26.3	15.6
Assets	1,537.6		1,458.1
Operating Segments | Unallocated, including cash
Segment Reporting Information [Line Items]
Assets	366.5		$ 378.9
Reconciling Items | Manufacturing
Segment Reporting Information [Line Items]
Earnings (loss) from operations	54.3	(3.4)
Reconciling Items | Maintenance Services
Segment Reporting Information [Line Items]
Earnings (loss) from operations	10.6	5.5
Reconciling Items | Leasing & Management Services
Segment Reporting Information [Line Items]
Earnings (loss) from operations	$ 26.3	$ 15.6

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