Why might a 15% tariff cause prices to rise by more than 15%?

Source Many retailers and trade groups opposed the Trump tariffs on Chinese goods, saying they'd need to raise prices due to the extra cost. The Footwear Distributors & Retailers of America, a trade group that represents the U.S. footwear industry, estimated that an additional 15% tariff on imported shoes from China would increase the price of a \$49.99 canvas sneaker to \$60.98, while the price of a typical hunting boot would jump from \$190 to \$231.03. It's an easy calculation that the increase from \$50⇒\$61 and from \$190⇒\$231 is 22%, which is more than the 15% tariff. Why might the tariff cause a price increase of more than the value of the tariff itself? I'm not looking for specifics of this particular tariff on this particular good, but rather some general reasons for why this might happen.