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Consolidated Statements of Cash Flows - USD ($)
$ in Millions
 12 Months Ended
Aug. 31, 2025
Aug. 31, 2024
Aug. 31, 2023
Cash flows from operating activities:      
Net income $ 396.6 $ 422.6 $ 346.0
Adjustments to reconcile net income to cash flows from operating activities:      
Depreciation and amortization 133.1 91.1 93.2
Pension settlement loss 30.9 0.0 0.0
Share-based payment expense 45.1 46.6 42.0
Asset impairments 16.7 3.0 20.8
Deferred income taxes (45.0) (33.6) (47.8)
Changes in operating assets and liabilities, net of acquisitions and divestitures:      
Accounts receivable 26.3 (8.7) 114.6
Inventories (34.2) (16.3) 115.2
Prepayments and other current assets (14.3) (3.0) 21.4
Accounts payable 64.4 66.2 (110.5)
Other operating activities (18.2) 51.3 (16.8)
Net cash provided by operating activities 601.4 619.2 578.1
Cash flows from investing activities:      
Purchases of property, plant, and equipment (68.4) (64.0) (66.7)
Acquisitions of businesses, net of cash acquired (1,189.4) 0.0 (35.5)
Other investing activities (22.9) (1.1) 11.5
Net cash used for investing activities (1,280.7) (65.1) (90.7)
Cash flows from financing activities:      
Repayments on credit facility, net of borrowings 0.0 0.0 (18.0)
Borrowings from term loan 600.0 0.0 0.0
Repayments of term loan borrowings (200.0) 0.0 0.0
Repurchases of common stock (118.5) (88.7) (266.6)
Proceeds from stock option exercises and other 28.4 13.5 2.7
Payments of taxes withheld on net settlement of equity awards (24.6) (11.1) (14.2)
Dividends paid (20.6) (18.2) (16.8)
Other financing activities (9.3) 0.0 0.0
Net cash provided by (used for) financing activities 255.4 (104.5) (312.9)
Effect of exchange rate changes on cash and cash equivalents 0.6 (1.7) 0.2
Net change in cash and cash equivalents (423.3) 447.9 174.7
Cash and cash equivalents at beginning of year 845.8 397.9 223.2
Cash and cash equivalents at end of year 422.5 845.8 397.9
Supplemental cash flow information:      
Income taxes paid 151.8 155.7 147.2
Interest paid $ 40.5 $ 24.4 $ 27.9