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Segment Information - Segments Internal Financial Reports (Detail) - USD ($) $ in Millions	12 Months Ended
	Aug. 31, 2022	Aug. 31, 2021	Aug. 31, 2020
Segment Reporting Information [Line Items]
Revenue	$ 2,977.7	$ 1,747.9	$ 2,792.2
Earnings (loss) from operations	118.0	41.0	168.4
Assets	3,851.5	3,390.7	3,173.8
Depreciation and amortization	102.0	100.7	109.9
Capital expenditures	380.7	139.0	66.9
Manufacturing
Segment Reporting Information [Line Items]
Revenue	2,476.6	1,311.1	2,309.5
Maintenance Services
Segment Reporting Information [Line Items]
Revenue	347.7	298.3	324.7
Leasing & Management Services
Segment Reporting Information [Line Items]
Revenue	153.4	138.5	158.0
Corporate, Non-Segment
Segment Reporting Information [Line Items]
Earnings (loss) from operations	(109.2)	(82.7)	(79.0)
Intersegment Eliminations
Segment Reporting Information [Line Items]
Revenue	(219.9)	(102.6)	(17.9)
Earnings (loss) from operations	(12.0)	(7.2)	0.6
Intersegment Eliminations | Manufacturing
Segment Reporting Information [Line Items]
Revenue	191.6	92.4	3.0
Earnings (loss) from operations	11.9	6.9	0.1
Intersegment Eliminations | Maintenance Services
Segment Reporting Information [Line Items]
Revenue	26.4	9.1	12.6
Earnings (loss) from operations		0.1	(0.9)
Intersegment Eliminations | Leasing & Management Services
Segment Reporting Information [Line Items]
Revenue	1.9	1.1	2.3
Earnings (loss) from operations	0.1	0.2	0.2
Operating Segments | Manufacturing
Segment Reporting Information [Line Items]
Revenue	2,668.2	1,403.5	2,312.5
Earnings (loss) from operations	109.1	55.2	157.1
Assets	1,853.9	1,493.5	1,301.7
Depreciation and amortization	61.7	67.8	78.0
Capital expenditures	48.3	26.6	48.2
Operating Segments | Maintenance Services
Segment Reporting Information [Line Items]
Revenue	374.1	307.4	337.3
Earnings (loss) from operations	21.7	6.6	8.1
Assets	284.8	260.9	271.9
Depreciation and amortization	10.7	12.0	12.6
Capital expenditures	9.2	8.6	11.7
Operating Segments | Leasing & Management Services
Segment Reporting Information [Line Items]
Revenue	155.3	139.6	160.3
Earnings (loss) from operations	108.4	69.1	81.6
Assets	1,152.2	949.4	739.0
Depreciation and amortization	29.6	20.9	19.3
Capital expenditures	323.2	103.8	7.0
Operating Segments | Unallocated, including cash
Segment Reporting Information [Line Items]
Assets	560.6	686.9	861.2
Reconciling Items | Manufacturing
Segment Reporting Information [Line Items]
Earnings (loss) from operations	97.2	48.3	157.0
Reconciling Items | Maintenance Services
Segment Reporting Information [Line Items]
Earnings (loss) from operations	21.7	6.5	9.0
Reconciling Items | Leasing & Management Services
Segment Reporting Information [Line Items]
Earnings (loss) from operations	$ 108.3	$ 68.9	$ 81.4

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