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Revenue from Contracts with Customers - Differences Due to Adoption Comprehensive Income (Details) - USD ($) $ in Millions | 3 Months Ended | 6 Months Ended
--- | --- | ---
Dec. 01, 2018 | Sep. 01, 2018 | Dec. 02, 2017 | Sep. 02, 2017 | Dec. 01, 2018 | Dec. 02, 2017
Revenue, Initial Application Period Cumulative Effect Transition [Line Items] |  |  |  |  |  |
Net sales | $ 652.6 |  | $ 604.6 |  | $ 1,277.3 | $ 1,184.8
Cost of sales | 417.0 |  | 382.5 |  | 816.6 | 745.8
Gross margin | 235.6 |  | 222.1 |  | 460.7 | 439.0
Total operating expenses | 182.5 |  | 171.7 |  | 361.6 | 339.1
Operating Earnings (Loss): | 53.1 |  | 50.4 |  | 99.1 | 99.9
Income tax expense | 11.2 |  | 14.3 |  | 20.0 | 28.5
Net earnings | 39.3 | $ 35.9 | $ 33.5 | $ 33.0 | 75.2 | $ 66.5
Performance Obligation Change | Accounting Standards Update 2014-09 |  |  |  |  |  |
Revenue, Initial Application Period Cumulative Effect Transition [Line Items] |  |  |  |  |  |
Net sales | (7.5) |  |  |  | (18.2) |
Cost of sales | (4.1) |  |  |  | (9.9) |
Gross margin | (3.4) |  |  |  | (8.3) |
Total operating expenses | (0.1) |  |  |  | (0.2) |
Operating Earnings (Loss): | (3.3) |  |  |  | (8.1) |
Income tax expense | (0.6) |  |  |  | (1.7) |
Net earnings | (2.7) |  |  |  | (6.4) |
Gross vs. Net Change | Accounting Standards Update 2014-09 |  |  |  |  |  |
Revenue, Initial Application Period Cumulative Effect Transition [Line Items] |  |  |  |  |  |
Net sales | (10.1) |  |  |  | (18.6) |
Cost of sales | (10.1) |  |  |  | (18.6) |
Legacy GAAP |  |  |  |  |  |
Revenue, Initial Application Period Cumulative Effect Transition [Line Items] |  |  |  |  |  |
Net sales | 635.0 |  |  |  | 1,240.5 |
Cost of sales | 402.8 |  |  |  | 788.1 |
Gross margin | 232.2 |  |  |  | 452.4 |
Total operating expenses | 182.4 |  |  |  | 361.4 |
Operating Earnings (Loss): | 49.8 |  |  |  | 91.0 |
Income tax expense | 10.6 |  |  |  | 18.3 |
Net earnings | $ 36.6 |  |  |  | $ 68.8 |

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