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Equity Plans
3 Months Ended
Nov. 29, 2018
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Equity Plans
Equity Plans

As of November 29, 2018, 115 million shares of our common stock were available for future awards under our equity plans.

Stock Options

Stock options granted and assumptions used in the Black-Scholes option valuation model were as follows:

Quarter ended
 
November 29,
2018
 
November 30,
2017
Stock options granted
 

 
1

Weighted-average grant-date fair value per share
 
$
19.50

 
$
17.67

Average expected life in years
 
5.4

 
5.6

Weighted-average expected volatility
 
44
%
 
44
%
Weighted-average risk-free interest rate
 
2.9
%
 
2.1
%
Expected dividend yield
 
0.0
%
 
0.0
%

Restricted Stock and Restricted Stock Units ("Restricted Stock Awards")

Restricted Stock Awards activity is summarized as follows:

Quarter ended
 
November 29,
2018
 
November 30,
2017
Restricted stock award shares granted
 
6

 
2

Weighted-average grant-date fair value per share
 
$
39.02

 
$
39.01



Stock-based Compensation Expense

Quarter ended
 
November 29,
2018
 
November 30,
2017
Stock-based compensation expense by caption
 
 
 
 
Cost of goods sold
 
$
26

 
$
20

Selling, general, and administrative
 
19

 
18

Research and development
 
16

 
13

 
 
$
61

 
$
51

 
 
 
 
 
Stock-based compensation expense by type of award
 
 
 
 
Restricted stock awards
 
$
41

 
$
34

Stock options
 
12

 
17

Employee Stock Purchase Plan
 
8

 

 
 
$
61

 
$
51



Income tax benefits related to share-based payment arrangements were $23 million and $57 million for the first quarters of 2019 and 2018, respectively. Income tax benefits related to share-based compensation for the first quarter of 2018 were offset by an increase in the U.S. valuation allowance. As of November 29, 2018, $498 million of total unrecognized compensation costs for unvested awards, before the effect of any future forfeitures, was expected to be recognized through the first quarter of 2023, resulting in a weighted-average period of 1.4 years.