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Accumulated Other Comprehensive (Loss) Income (Details) - USD ($)
$ in Millions
6 Months Ended
Aug. 01, 2015
Jan. 02, 2016
Changes in accumulated other comprehensive income (loss) by component    
Balance at the beginning of the period   $ (48.0)
Transfer to Lumentum $ (7.8) (7.8)
Other comprehensive (loss) income before reclassification   131.3
Amounts reclassified from accumulated other comprehensive income (loss)   0.3
Net current-period other comprehensive (loss) income   131.6
Balance at the end of the period   75.8
Tax impact of amortization of actuarial losses   0.0
Marketable equity securities | Lumentum    
Changes in accumulated other comprehensive income (loss) by component    
Unrealized gain on marketable equity securities   157.2
Income tax expense impact from unrealized holding gains on marketable equity securities   3.7
Unrealized gains (losses) on available-for-sale investments    
Changes in accumulated other comprehensive income (loss) by component    
Balance at the beginning of the period   (3.2)
Transfer to Lumentum   0.0
Other comprehensive (loss) income before reclassification   153.1
Amounts reclassified from accumulated other comprehensive income (loss)   0.0
Net current-period other comprehensive (loss) income   153.1
Balance at the end of the period   149.9
Foreign currency translation adjustments    
Changes in accumulated other comprehensive income (loss) by component    
Balance at the beginning of the period   (29.2)
Transfer to Lumentum   (8.9)
Other comprehensive (loss) income before reclassification   (21.8)
Amounts reclassified from accumulated other comprehensive income (loss)   0.0
Net current-period other comprehensive (loss) income   (21.8)
Balance at the end of the period   (59.9)
Defined benefit obligation, net of tax    
Changes in accumulated other comprehensive income (loss) by component    
Balance at the beginning of the period   (15.6)
Transfer to Lumentum   1.1
Other comprehensive (loss) income before reclassification   0.0
Amounts reclassified from accumulated other comprehensive income (loss)   0.3
Net current-period other comprehensive (loss) income   0.3
Balance at the end of the period   $ (14.2)