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CONSOLIDATED STATEMENTS OF CASH FLOWS (Unaudited) - USD ($)
$ in Millions
 9 Months Ended
May 31, 2022
May 31, 2021
Cash flows from operating activities:    
Net income $ 268.6 $ 208.2
Adjustments to reconcile net income to net cash flows from operating activities:    
Depreciation and amortization 71.4 75.0
Share-based payment expense 27.5 22.3
Gain on sale of property, plant, and equipment (2.3) 0.0
Asset impairment 1.7 4.0
Changes in operating assets and liabilities, net of acquisitions:    
Accounts receivable (27.2) (3.2)
Inventories (174.5) (47.8)
Prepayments and other current assets (38.3) (0.6)
Accounts payable 58.9 52.7
Other (20.1) 5.6
Net cash provided by operating activities 165.7 316.2
Cash flows from investing activities:    
Purchases of property, plant, and equipment (38.0) (30.6)
Proceeds from sale of property, plant, and equipment 8.9 4.7
Acquisition of businesses, net of cash acquired (12.2) (2.0)
Other investing activities (1.9) (3.5)
Net cash used for investing activities (43.2) (31.4)
Cash flows from financing activities:    
Borrowings on credit facility, net of repayments 122.0 0.0
Issuance of long-term debt 0.0 493.9
Repayments of long-term debt 0.0 (397.1)
Repurchases of common stock (403.5) (340.9)
Proceeds from stock option exercises and other 10.6 2.0
Payments of taxes withheld on net settlement of equity awards (8.0) (3.9)
Dividends paid (13.7) (14.3)
Net cash used for financing activities (292.6) (260.3)
Effect of exchange rate changes on cash and cash equivalents (3.0) 8.3
Net change in cash and cash equivalents (173.1) 32.8
Cash and cash equivalents at beginning of period 491.3 560.7
Cash and cash equivalents at end of period 318.2 593.5
Supplemental cash flow information:    
Income taxes paid during the period 80.8 58.7
Interest paid during the period $ 19.2 $ 15.6