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Stock-Based Compensation (Additional Information) (Details 2) - USD ($) $ in Millions | 3 Months Ended
--- | ---
Nov. 30, 2017 | Nov. 30, 2016
Schedule of Weighted Average Assumptions for Fair Values of Stock Options[Line Items] |  |
Share repurchase program, remaining authorized repurchase amount | $ 356.7 |
Stock-based compensation recognized for modification | 24.9 |
2017 Share Repurchase Program [Member] |  |
Schedule of Weighted Average Assumptions for Fair Values of Stock Options[Line Items] |  |
Share repurchase program, amount authorized | $ 450.0 |
Shares repurchased | 3,200,000 |
Shares repurchased, value | $ 93.2 |
Restricted Stock Awards [Member] |  |
Schedule of Weighted Average Assumptions for Fair Values of Stock Options[Line Items] |  |
Awards vested | 800,000 |
Performance-based restricted stock units [Member] |  |
Schedule of Weighted Average Assumptions for Fair Values of Stock Options[Line Items] |  |
Restricted stock units awarded | 400,000 | 600,000
Award vesting period | 3 years |
Performance-based restricted stock units [Member] | Maximum |  |
Schedule of Weighted Average Assumptions for Fair Values of Stock Options[Line Items] |  |
Award vesting percentage | 150.00% |
Time-based restricted stock units [Member] |  |
Schedule of Weighted Average Assumptions for Fair Values of Stock Options[Line Items] |  |
Restricted stock units awarded | 1,300,000 | 1,000,000
Award vesting period | 3 years |
Market based restricted stock units [Member] |  |
Schedule of Weighted Average Assumptions for Fair Values of Stock Options[Line Items] |  |
Restricted stock units awarded | 400,000 | 400,000
Award vesting percentage | 200.00% |
Award vesting period | 3 years |
Plan 2011 |  |
Schedule of Weighted Average Assumptions for Fair Values of Stock Options[Line Items] |  |
Shares available for issuance under share based compensation plan | 12,327,622 |

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- Definition Period which an employee's right to exercise an award is no longer contingent on satisfaction of either a service condition, market condition or a performance condition, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI http://asc.fasb.org/extlink&oid=6415400&loc=d3e5070-113901 + Details
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- Definition The difference between the maximum number of shares (or other type of equity) authorized for issuance under the plan (including the effects of amendments and adjustments), and the sum of: 1) the number of shares (or other type of equity) already issued upon exercise of options or other equity-based awards under the plan; and 2) shares (or other type of equity) reserved for issuance on granting of outstanding awards, net of cancellations and forfeitures, if applicable. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -URI http://asc.fasb.org/extlink&oid=6415400&loc=d3e5070-113901 + Details
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