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CONSOLIDATED STATEMENTS OF CASH FLOWS (Unaudited) - USD ($)
$ in Millions
 6 Months Ended
Feb. 29, 2024
Feb. 28, 2023
Cash flows from operating activities:    
Net income $ 189.8 $ 158.1
Adjustments to reconcile net income to cash flows from operating activities:    
Depreciation and amortization 45.6 48.5
Share-based payment expense 23.1 22.0
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 60.1 142.6
Inventories (4.7) 44.5
Prepayments and other current assets (23.0) (1.7)
Accounts payable 39.2 (69.1)
Other operating activities (37.8) (54.0)
Net cash provided by operating activities 292.6 306.4
Cash flows from investing activities:    
Purchases of property, plant, and equipment (29.0) (35.6)
Other investing activities (3.7) 6.4
Net cash used for investing activities (32.7) (29.2)
Cash flows from financing activities:    
Repayments on credit facility, net of borrowings 0.0 (18.0)
Repurchases of common stock (67.8) (121.7)
Proceeds from stock option exercises and other 7.0 1.7
Payments of taxes withheld on net settlement of equity awards (9.4) (12.9)
Dividends paid (8.8) (8.5)
Net cash used for financing activities (79.0) (159.4)
Effect of exchange rate changes on cash and cash equivalents 0.1 (2.0)
Net change in cash and cash equivalents 181.0 115.8
Cash and cash equivalents at beginning of period 397.9 223.2
Cash and cash equivalents at end of period 578.9 339.0
Supplemental cash flow information:    
Income taxes paid during the period 75.9 52.1
Interest paid during the period $ 18.4 $ 21.9