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CONSOLIDATED STATEMENTS OF CASH FLOWS (Unaudited) - USD ($)
$ in Millions
 3 Months Ended
Nov. 30, 2021
Nov. 30, 2020
Cash flows from operating activities:    
Net income $ 87.6 $ 59.6
Adjustments to reconcile net income to net cash flows from operating activities:    
Depreciation and amortization 24.3 25.0
Share-based payment expense 7.6 7.7
Asset impairment 0.0 4.0
Changes in operating assets and liabilities, net of acquisitions:    
Accounts receivable 40.2 56.3
Inventories (41.3) 4.1
Prepayments and other current assets (47.7) (20.3)
Accounts payable 17.7 (9.2)
Other (4.7) (3.3)
Net cash provided by operating activities 83.7 123.9
Cash flows from investing activities:    
Purchases of property, plant, and equipment (9.3) (11.4)
Proceeds from sale of property, plant, and equipment 0.0 0.4
Other investing activities 0.3 (3.1)
Net cash used for investing activities (9.0) (14.1)
Cash flows from financing activities:    
Issuance of long-term debt 0.0 493.9
Repayments of long-term debt 0.0 (395.1)
Repurchases of common stock (56.3) (255.2)
Proceeds from stock option exercises and other 8.6 0.3
Payments of taxes withheld on net settlement of equity awards (6.7) (3.0)
Dividends paid (4.7) (5.0)
Net cash used for financing activities (59.1) (164.1)
Effect of exchange rate changes on cash and cash equivalents (2.9) 0.6
Net change in cash and cash equivalents 12.7 (53.7)
Cash and cash equivalents at beginning of period 491.3 560.7
Cash and cash equivalents at end of period 504.0 507.0
Supplemental cash flow information:    
Income taxes paid during the period 28.3 9.3
Interest paid during the period $ 13.3 $ 15.1