We know that when calculating percent yield, we use the equation:
[tex] Percent yield=\frac{Actual yield (A)}{Theoretical yield (T)} [/tex]
Since the quantities that we are given in the question are equal, we can just directly divide them to find percent yield:
[tex] Percentyield=\frac{480kg}{550kg} =0.8727*100=87.27 [/tex]
So now we know that the percent yield of the synthesis is 87.27%.