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Accumulated Other Comprehensive (Loss) Income (Details) - USD ($)
shares in Millions, $ in Millions
 12 Months Ended
Aug. 01, 2015
Jul. 02, 2016
Jun. 27, 2015
Jun. 28, 2014
Changes in accumulated other comprehensive income (loss) by component        
Balance   $ 1,101.4 $ 1,187.7 $ 1,161.3
Transferred to Lumentum $ 7.8 (7.8)    
Other comprehensive income (loss) before reclassification   134.7    
Amounts reclassified from accumulated other comprehensive income   (68.9)    
Net change in Accumulated other comprehensive income (loss)   65.8 (59.1) 2.5
Balance   689.3 1,101.4 1,187.7
Unrealized net actuarial loss, net of tax   14.2    
Tax benefit for unrealized net actuarial losses   $ (3.6)    
Lumentum        
Changes in accumulated other comprehensive income (loss) by component        
Shares held in investment (in shares) 11.7 7.2    
Marketable equity investments        
Changes in accumulated other comprehensive income (loss) by component        
Number of equity securities sold (in security)   (4.5)    
Marketable equity investments | Lumentum        
Changes in accumulated other comprehensive income (loss) by component        
Unrealized gain on marketable equity securities   $ 180.7    
Income tax expense impact from unrealized holding gains on marketable equity securities   3.7    
Realized gain on sale of marketable equity securities   $ 71.5    
Number of equity securities sold (in security)   4.5    
Shares held in investment (in shares) 11.7      
Income tax expense impact from realized gain on sale of marketable equity securities   $ 2.0    
Total        
Changes in accumulated other comprehensive income (loss) by component        
Balance   (48.0) 11.1 8.6
Net change in Accumulated other comprehensive income (loss)   65.8 (59.1) 2.5
Balance   10.0 (48.0) $ 11.1
Unrealized gains (losses) on available-for-sale investments        
Changes in accumulated other comprehensive income (loss) by component        
Balance   (3.2)    
Transferred to Lumentum   0.0    
Other comprehensive income (loss) before reclassification   177.3    
Amounts reclassified from accumulated other comprehensive income   (69.6)    
Net change in Accumulated other comprehensive income (loss)   107.7    
Balance   104.5 (3.2)  
Foreign currency translation adjustments, net of tax        
Changes in accumulated other comprehensive income (loss) by component        
Balance   (29.2)    
Transferred to Lumentum   (8.9)    
Other comprehensive income (loss) before reclassification   (32.0)    
Amounts reclassified from accumulated other comprehensive income   0.0    
Net change in Accumulated other comprehensive income (loss)   (32.0)    
Balance   (70.1) (29.2)  
Defined benefit obligation, net of tax        
Changes in accumulated other comprehensive income (loss) by component        
Balance   (15.6)    
Transferred to Lumentum   1.1    
Other comprehensive income (loss) before reclassification   (10.6)    
Amounts reclassified from accumulated other comprehensive income   0.7    
Net change in Accumulated other comprehensive income (loss)   (9.9)    
Balance   $ (24.4) $ (15.6)