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Share-Based Compensation
6 Months Ended
Mar. 30, 2019
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Share-Based Compensation
Share-Based Compensation
The Company recognized $5.2 million and $9.9 million of compensation expense associated with share-based awards for the three and six months ended March 30, 2019, respectively, and $4.5 million and $8.4 million for the three and six months ended March 31, 2018, respectively.
The Company uses the Black-Scholes valuation model to determine the fair value of stock options and stock-settled stock appreciation rights ("SARs"). The Company uses its stock price on grant date as the fair value assigned to restricted stock units ("RSUs").
Performance stock units ("PSUs") are payable in shares of the Company's common stock. Beginning for fiscal 2017 grants, PSUs vest based on the relative total shareholder return ("TSR") of the Company's common stock as compared to the companies in the Russell 3000 index, a market condition, and the Company's economic return performance during the three year performance period, a performance condition. The Company uses the Monte Carlo valuation model to determine the fair value of PSUs at the date of grant for PSUs that vest based on the relative TSR of the Company's common stock. The Company uses its stock price on grant date as the fair value assigned to PSUs that vest based on the Company's economic return performance. PSUs granted in fiscal 2016 and prior years vested based solely on the relative TSR of the Company's common stock as compared to companies in the Russell 3000 Index during a three year performance period. The number of shares that may be issued pursuant to PSUs ranges from zero to 0.5 million and is dependent upon the Company's TSR and economic return performance over the applicable performance periods.
The Company recognizes share-based compensation expense over the share-based awards' vesting period.