Nancy earns $$36,000$ per year and is paid biweekly. She wants to have $$550,000$ in her

$401($k$)30$ years from now and thinks her investments will earn $8(1)/(2)\%.$ Her employer matches contributions $50\%$ up to $8\%.$ What percent of her salary should she contribute to reach this goal? Give the rate as a percentage with two decimal places.