Nordstrom is an American high-end fashion retail company founded by John W. Nordstrom and Carl F. Wallin in Seattle, Washington. The company started as a shoe retail business and later expanded into apparel, accessories, handbags, jewelry, cosmetics, and fragrances. Some Nordstrom stores also have wedding and home departments. The company operates 252 stores across 34 states, including 117 full-line stores and 132 discount stores.
Nordstrom's official website is: https://www.nordstrom.com/
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Nordstrom Rack is the discount store division of Nordstrom, Inc., offering shoes, clothing, and accessories for the whole family at great prices. Nordstrom Rack sells many of the same brand-name items found in Nordstrom stores, with most items discounted 30% to 70% off. The Rack stores are designed for self-service, with merchandise neatly organized for convenient shopping.
The first Nordstrom Rack opened in 1973 as a clearance center in the lower level of the downtown Seattle Nordstrom store. The first standalone Nordstrom Rack opened in 1983 in Clackamas, Oregon. As Nordstrom expanded to other parts of the United States, Nordstrom Rack stores followed closely behind.
Nordstrom Rack's official website is: https://nordstromrack.com/
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So overall, they belong to the same company.