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Supplemental Guarantor Condensed Consolidating Financial Statements (Cash Flows) (Details) - USD ($) $ in Millions | 9 Months Ended
--- | ---
May 31, 2019 | May 31, 2018
Condensed Financial Statements, Captions [Line Items] |  |
Net cash provided by operating activities | $ 312.0 | $ 299.7
Cash flows from investing activities: |  |
Purchases of property, plant, and equipment | (39.8) | (32.2)
Investments in subsidiaries |  | 0.0
Acquisitions of business, net of cash acquired | 0.0 | (163.5)
Other investing activities | 2.9 | 1.0
Net cash used for investing activities | (36.9) | (194.7)
Cash flows from financing activities: |  |
Borrowings on credit facility | 86.5 | 237.3
Repayments of borrowings on credit facility | (86.5) | (236.1)
Repayments of long-term debt | (0.3) | (0.3)
Proceeds from stock option exercises and other | 0.5 | 1.6
Repurchases of common stock | (48.7) | (298.4)
Withholding taxes on net settlement of equity awards | (4.9) | (7.2)
Intercompany Capital |  | 0.0
Dividends paid | (15.6) | (16.2)
Net cash used for financing activities | (69.0) | (319.3)
Effect of exchange rates changes on cash | (1.5) | (2.5)
Net change in cash and cash equivalents | 204.6 | (216.8)
Cash and cash equivalents at beginning of period | 129.1 | 311.1
Cash and cash equivalents at end of period | 333.7 | 94.3
Parent |  |
Condensed Financial Statements, Captions [Line Items] |  |
Net cash provided by operating activities | 245.0 | 252.6
Cash flows from investing activities: |  |
Purchases of property, plant, and equipment | 0.0 | 0.0
Investments in subsidiaries |  | (163.5)
Acquisitions of business, net of cash acquired |  | 0.0
Other investing activities | 0.8 | 1.0
Net cash used for investing activities | 0.8 | (162.5)
Cash flows from financing activities: |  |
Borrowings on credit facility | 0.0 | 0.0
Repayments of borrowings on credit facility | 0.0 | 0.0
Repayments of long-term debt | 0.0 | 0.0
Proceeds from stock option exercises and other | 0.5 | 1.6
Repurchases of common stock | (48.7) | (298.4)
Withholding taxes on net settlement of equity awards | (4.9) | (7.2)
Intercompany Capital |  | 0.0
Dividends paid | (15.6) | (16.2)
Net cash used for financing activities | (68.7) | (320.2)
Effect of exchange rates changes on cash | 0.2 | 0.0
Net change in cash and cash equivalents | 177.3 | (230.1)
Cash and cash equivalents at beginning of period | 80.5 | 237.7
Cash and cash equivalents at end of period | 257.8 | 7.6
Subsidiary Issuer |  |
Condensed Financial Statements, Captions [Line Items] |  |
Net cash provided by operating activities | 48.4 | 19.1
Cash flows from investing activities: |  |
Purchases of property, plant, and equipment | (33.0) | (21.9)
Investments in subsidiaries |  | 0.0
Acquisitions of business, net of cash acquired |  | (136.6)
Other investing activities | 2.1 | 0.0
Net cash used for investing activities | (30.9) | (158.5)
Cash flows from financing activities: |  |
Borrowings on credit facility | 86.5 | 237.3
Repayments of borrowings on credit facility | (86.5) | (236.1)
Repayments of long-term debt | 0.0 | 0.0
Proceeds from stock option exercises and other | 0.0 | 0.0
Repurchases of common stock | 0.0 | 0.0
Withholding taxes on net settlement of equity awards | 0.0 | 0.0
Intercompany Capital |  | 136.6
Dividends paid | 0.0 | 0.0
Net cash used for financing activities | 0.0 | 137.8
Effect of exchange rates changes on cash | (0.3) | 1.6
Net change in cash and cash equivalents | 17.2 | 0.0
Cash and cash equivalents at beginning of period | 0.0 | 0.0
Cash and cash equivalents at end of period | 17.2 | 0.0
Subsidiary Guarantor |  |
Condensed Financial Statements, Captions [Line Items] |  |
Net cash provided by operating activities | 0.0 | 0.0
Cash flows from investing activities: |  |
Purchases of property, plant, and equipment | 0.0 | 0.0
Investments in subsidiaries |  | 0.0
Acquisitions of business, net of cash acquired |  | 0.0
Other investing activities | 0.0 | 0.0
Net cash used for investing activities | 0.0 | 0.0
Cash flows from financing activities: |  |
Borrowings on credit facility | 0.0 | 0.0
Repayments of borrowings on credit facility | 0.0 | 0.0
Repayments of long-term debt | 0.0 | 0.0
Proceeds from stock option exercises and other | 0.0 | 0.0
Repurchases of common stock | 0.0 | 0.0
Withholding taxes on net settlement of equity awards | 0.0 | 0.0
Intercompany Capital |  | 0.0
Dividends paid | 0.0 | 0.0
Net cash used for financing activities | 0.0 | 0.0
Effect of exchange rates changes on cash | 0.0 | 0.0
Net change in cash and cash equivalents | 0.0 | 0.0
Cash and cash equivalents at beginning of period | 0.0 | 0.0
Cash and cash equivalents at end of period | 0.0 | 0.0
Non- Guarantors |  |
Condensed Financial Statements, Captions [Line Items] |  |
Net cash provided by operating activities | 18.6 | 28.0
Cash flows from investing activities: |  |
Purchases of property, plant, and equipment | (6.8) | (10.3)
Investments in subsidiaries |  | 0.0
Acquisitions of business, net of cash acquired |  | (26.9)
Other investing activities | 0.0 | 0.0
Net cash used for investing activities | (6.8) | (37.2)
Cash flows from financing activities: |  |
Borrowings on credit facility | 0.0 | 0.0
Repayments of borrowings on credit facility | 0.0 | 0.0
Repayments of long-term debt | (0.3) | (0.3)
Proceeds from stock option exercises and other | 0.0 | 0.0
Repurchases of common stock | 0.0 | 0.0
Withholding taxes on net settlement of equity awards | 0.0 | 0.0
Intercompany Capital |  | 26.9
Dividends paid | 0.0 | 0.0
Net cash used for financing activities | (0.3) | 26.6
Effect of exchange rates changes on cash | (1.4) | (4.1)
Net change in cash and cash equivalents | 10.1 | 13.3
Cash and cash equivalents at beginning of period | 48.6 | 73.4
Cash and cash equivalents at end of period | 58.7 | 86.7
Consolidating Adjustments |  |
Condensed Financial Statements, Captions [Line Items] |  |
Net cash provided by operating activities | 0.0 | 0.0
Cash flows from investing activities: |  |
Purchases of property, plant, and equipment | 0.0 | 0.0
Investments in subsidiaries |  | 163.5
Acquisitions of business, net of cash acquired |  | 0.0
Other investing activities | 0.0 | 0.0
Net cash used for investing activities | 0.0 | 163.5
Cash flows from financing activities: |  |
Borrowings on credit facility | 0.0 | 0.0
Repayments of borrowings on credit facility | 0.0 | 0.0
Repayments of long-term debt | 0.0 | 0.0
Proceeds from stock option exercises and other | 0.0 | 0.0
Repurchases of common stock | 0.0 | 0.0
Withholding taxes on net settlement of equity awards | 0.0 | 0.0
Intercompany Capital |  | (163.5)
Dividends paid | 0.0 | 0.0
Net cash used for financing activities | 0.0 | (163.5)
Effect of exchange rates changes on cash | 0.0 | 0.0
Net change in cash and cash equivalents | 0.0 | 0.0
Cash and cash equivalents at beginning of period | 0.0 | 0.0
Cash and cash equivalents at end of period | $ 0.0 | $ 0.0

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