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CONSOLIDATED STATEMENTS OF CASH FLOWS (Unaudited) - USD ($)
$ in Millions
 9 Months Ended
May 31, 2024
May 31, 2023
Cash flows from operating activities:    
Net income $ 303.7 $ 263.1
Adjustments to reconcile net income to cash flows from operating activities:    
Depreciation and amortization 68.5 70.4
Share-based payment expense 34.9 32.4
Loss on disposal of property, plant, and equipment 0.3 0.0
Asset impairment 0.0 4.3
Loss on sale of a business 0.0 11.2
Changes in operating assets and liabilities, net of acquisitions and divestitures:    
Accounts receivable 42.5 123.9
Inventories (1.2) 82.6
Prepayments and other current assets (16.3) (9.6)
Accounts payable 40.4 (53.4)
Other operating activities (27.7) (53.4)
Net cash provided by operating activities 445.1 471.5
Cash flows from investing activities:    
Purchases of property, plant, and equipment (41.0) (48.0)
Acquisition of businesses, net of cash acquired 0.0 (35.4)
Other investing activities (3.6) 7.0
Net cash used for investing activities (44.6) (76.4)
Cash flows from financing activities:    
Repayments on credit facility, net of borrowings 0.0 (18.0)
Repurchases of common stock (88.7) (216.2)
Proceeds from stock option exercises and other 12.0 2.1
Payments of taxes withheld on net settlement of equity awards (10.4) (13.9)
Dividends paid (13.4) (12.7)
Net cash used for financing activities (100.5) (258.7)
Effect of exchange rate changes on cash and cash equivalents 1.1 (0.3)
Net change in cash and cash equivalents 301.1 136.1
Cash and cash equivalents at beginning of period 397.9 223.2
Cash and cash equivalents at end of period 699.0 359.3
Supplemental cash flow information:    
Income taxes paid during the period 120.1 83.8
Interest paid during the period $ 18.7 $ 22.3