Blood urea nitrogen is a test that measures the amount of urea nitrogen found in blood. Normal human adult blood should contain between 6 and 20 mg of urea nitrogen per 100 ml (6–20 mg/dL) of blood. Normal blood urea levels are between 20 and 50 mg/dL. There might be slight differences between different laboratories. The conversion between both is that blood urea is approximately 2.14 times blood nitrogen bound to urea.
Chemical formula of urea is ( NH2 )2 >C=O i.e. Molecular weight of urea is 60 while nitrogen in it is 28 . 60/28 = 2.14 , so the conversion is blood urea nitrogen × 2.14 = blood urea , a calculative value . Blood urea Nitrogen normal value is 6 and 20 mg per 100 ml while normal value of blood urea is 20 and 50 mg 100 ml.
You can view it as nitrogen being a subset of urea. Nitrogen is part of urea with molecular weight of 28 while molecular weight of urea is 60. Therefore urea÷nitrogen = 60÷28= 2.14. Hence to convert urea to BUN divide by 2.14 and vice versa