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Revenue from Contracts with Customers Differences Due to Adoption Comprehensive Income (Details) - USD ($) $ in Millions | 3 Months Ended | 12 Months Ended
--- | --- | ---
Jun. 01, 2019 | Mar. 02, 2019 | Dec. 01, 2018 | Sep. 01, 2018 | Jun. 02, 2018 | Mar. 03, 2018 | Dec. 02, 2017 | Sep. 02, 2017 | Jun. 03, 2017 | Mar. 04, 2017 | Dec. 03, 2016 | Sep. 03, 2016 | Jun. 01, 2019 | Jun. 02, 2018 | Jun. 03, 2017
Revenue, Initial Application Period Cumulative Effect Transition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  |  |  |  |  | $ 2,567.2 | $ 2,381.2 | $ 2,278.2
Cost of sales |  |  |  |  |  |  |  |  |  |  |  |  | 1,637.3 | 1,508.2 | 1,414.0
Gross margin | $ 248.2 | $ 221.0 | $ 235.6 | $ 225.1 | $ 228.3 | $ 205.8 | $ 222.1 | $ 216.9 | $ 220.9 | $ 195.5 | $ 218.0 | $ 230.0 | 929.9 | 873.0 | 864.2
Total operating expenses |  |  |  |  |  |  |  |  |  |  |  |  | 726.4 | 694.1 | 673.1
Operating earnings |  |  |  |  |  |  |  |  |  |  |  |  | 203.5 | 178.9 | 191.1
Income tax expense |  |  |  |  |  |  |  |  |  |  |  |  | 39.6 | 42.4 | 55.1
Net earnings |  |  |  |  |  |  |  |  |  |  |  |  | 160.5 | $ 128.1 | $ 123.9
Performance Obligation Change | Accounting Standards Update 2014-09 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Revenue, Initial Application Period Cumulative Effect Transition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  |  |  |  |  | (21.5) |  |
Cost of sales |  |  |  |  |  |  |  |  |  |  |  |  | (12.8) |  |
Gross margin |  |  |  |  |  |  |  |  |  |  |  |  | (8.7) |  |
Total operating expenses |  |  |  |  |  |  |  |  |  |  |  |  | (0.1) |  |
Operating earnings |  |  |  |  |  |  |  |  |  |  |  |  | (8.6) |  |
Income tax expense |  |  |  |  |  |  |  |  |  |  |  |  | (1.5) |  |
Net earnings |  |  |  |  |  |  |  |  |  |  |  |  | (7.1) |  |
Gross vs Net Change | Accounting Standards Update 2014-09 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Revenue, Initial Application Period Cumulative Effect Transition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  |  |  |  |  | (38.0) |  |
Cost of sales |  |  |  |  |  |  |  |  |  |  |  |  | (38.0) |  |
Legacy GAAP |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Revenue, Initial Application Period Cumulative Effect Transition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net sales |  |  |  |  |  |  |  |  |  |  |  |  | 2,507.7 |  |
Cost of sales |  |  |  |  |  |  |  |  |  |  |  |  | 1,586.5 |  |
Gross margin |  |  |  |  |  |  |  |  |  |  |  |  | 921.2 |  |
Total operating expenses |  |  |  |  |  |  |  |  |  |  |  |  | 726.3 |  |
Operating earnings |  |  |  |  |  |  |  |  |  |  |  |  | 194.9 |  |
Income tax expense |  |  |  |  |  |  |  |  |  |  |  |  | 38.1 |  |
Net earnings |  |  |  |  |  |  |  |  |  |  |  |  | $ 153.4 |  |

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