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Stockholders' Equity (Common Stock Outstanding) (Details) - USD ($) | 1 Months Ended | 3 Months Ended | 9 Months Ended
--- | --- | --- | ---
Sep. 30, 2019 | May 31, 2021 | May 31, 2020 | May 31, 2021 | May 31, 2020
Common stock outstanding: |  |  |  |  |
Common stock outstanding, beginning balances (in shares) |  |  |  | 150,330,358 |
Common stock outstanding, ending balance (in shares) |  | 146,837,466 |  | 146,837,466 |
2020 Share Repurchase Program |  |  |  |  |
Common stock outstanding: |  |  |  |  |
Share repurchase program, amount authorized | $ 600,000,000.0 |  |  |  |
Capital allocation framework period | 2 years |  |  |  |
Number of shares repurchased (in shares) |  |  |  | 11,900,000 |
Value of shares repurchased |  |  |  | $ 475,600,000 |
Share repurchase program, remaining amount available |  | $ 124,400,000 |  | $ 124,400,000 |
Common stock |  |  |  |  |
Common stock outstanding: |  |  |  |  |
Common stock outstanding, beginning balances (in shares) | 153,520,380 | 149,366,501 | 151,407,526 | 150,330,358 | 153,520,380
Shares issued upon exercise of stock options (in shares) |  | 9,321 | 0 | 9,321 | 56,999
Shares issued under employee stock purchase plan (in shares) |  | 0 | 0 | 771,548 | 595,717
Vesting of restricted stock (in shares) |  | 12,787 | 13,234 | 2,253,923 | 2,252,846
Purchases of treasury stock under employee stock plans (in shares) |  | (3,436) | (2,808) | (613,715) | (619,931)
Treasury shares purchased (in shares) |  | (2,547,707) | (843,916) | (5,913,969) | (5,231,975)
Common stock outstanding, ending balance (in shares) |  | 146,837,466 | 150,574,036 | 146,837,466 | 150,574,036

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- Definition A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period. + References No definition available. + Details
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- Definition Number of share options (or share units) exercised during the current period. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1)(iv)(2) -URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 505 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.3-04) -URI http://asc.fasb.org/extlink&oid=120397183&loc=d3e187085-122770 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 210 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02(28)) -URI http://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682 Reference 4: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 210 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02(29)) -URI http://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682 Reference 5: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 505 -SubTopic 10 -Section 50 -Paragraph 2 -URI http://asc.fasb.org/extlink&oid=109259400&loc=d3e21463-112644 + Details
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