Shamin Jewelers sells diamond necklaces for $456.00 less 11%. True Value Jewelers offers the same necklace for $495.00 less 37%, 11%. What additional rate of discount must Shamin offer to meet the competitor's price?

The additional rate of discount that Shamin Jewelers must offer to meet the competitor's price is %. (Round to two decimal places as needed. Round all intermediate values to six decimal places as needed.)

please make sure the answer is rounded as needed