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Pension and Defined Contribution Plans - Narrative (Details) $ in Millions | 12 Months Ended
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Aug. 31, 2021 USD ($) multiemployer_plan | Aug. 31, 2020 USD ($) | Aug. 31, 2019 USD ($)
Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Percentage of plan assets (percent) | 10.00% |  |
Number of multi-employer plans | multiemployer_plan | 2 |  |
Contributions to multi-employer plans | $ 0.6 | $ 0.6 | $ 0.5
Defined Contribution Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Defined contribution plan, cost recognized | 8.4 | $ 8.2 | $ 8.1
Common stock included in defined contribution plan, market value | $ 8.9 |  |
Common stock included in defined contribution plan as percentage of total fair value of assets in plan | 1.80% |  |
Domestic Plans | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Reduction in net periodic pension cost per 100 basis point increase in benefit obligation discount rate | $ 0.9 |  |
Additional net periodic pension cost per 100 basis point decrease in expected return on plan assets rate | $ 1.7 |  |
Domestic Plans | Pension Plan | Equity securities |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Targeted asset allocation, percentage | 40.00% |  |
Domestic Plans | Pension Plan | Fixed income securities |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Targeted asset allocation, percentage | 55.00% |  |
Domestic Plans | Pension Plan | Real estate |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Targeted asset allocation, percentage | 5.00% |  |
International Plans | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Reduction in net periodic pension cost per 100 basis point increase in benefit obligation discount rate | $ 0.6 |  |
Additional net periodic pension cost per 100 basis point decrease in expected return on plan assets rate | 0.4 |  |
International Plans | Pension Plan | Qualified Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Employer expected contribution to defined benefit plans in next fiscal year | $ 1.5 |  |
International Plans | Pension Plan | Equity securities |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Targeted asset allocation, percentage | 16.00% |  |
International Plans | Pension Plan | Fixed income securities |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Targeted asset allocation, percentage | 20.00% |  |
International Plans | Pension Plan | Multi-strategy investments |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Targeted asset allocation, percentage | 64.00% |  |

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- Definition Defined Benefit Plan, Actuarial Gains (Losses) Threshold, Percentage of Plan Assets + References No definition available. + Details
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- Definition Defined Benefit Plan, Estimated Net Periodic Benefit Cost Decrease, per 100 Basis Point Increase in Discount Rate, Benefit Obligation + References No definition available. + Details
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- Definition Percentage of target investment allocation to total plan assets. Includes, but is not limited to, percentage on weighted-average basis if more than one plan. + References Reference 1: http://www.xbrl.org/2003/role/exampleRef -Publisher FASB -Name Accounting Standards Codification -Topic 715 -SubTopic 20 -Section 55 -Paragraph 17 -URI http://asc.fasb.org/extlink&oid=123450688&loc=d3e4179-114921 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 715 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (d)(i) -URI http://asc.fasb.org/extlink&oid=123447040&loc=d3e1928-114920 + Details
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- Definition Amount of cost for employer contribution to multiemployer plan. Multiemployer plan includes, but is not limited to, pension plan determined to be individually significant and insignificant and other postretirement benefit plan. + References Reference 1: http://www.xbrl.org/2003/role/exampleRef -Publisher FASB -Name Accounting Standards Codification -Topic 715 -SubTopic 80 -Section 55 -Paragraph 8 -URI http://asc.fasb.org/extlink&oid=35742348&loc=SL14450788-114948 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 715 -SubTopic 80 -Section 35 -Paragraph 1 -URI http://asc.fasb.org/extlink&oid=29639808&loc=d3e29008-114946 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 715 -SubTopic 80 -Section 50 -Paragraph 11 -URI http://asc.fasb.org/extlink&oid=65877416&loc=SL14450702-114947 Reference 4: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 715 -SubTopic 80 -Section 50 -Paragraph 9 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=65877416&loc=SL14450691-114947 + Details
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