Answer
$0.837 $ or $83.7 \% $
Work Step by Step
Recall the basic principle of probabilities:
$P(\text{an event happens})=1-P(\text{an event does not happen})$
In our case, we have the probability of $16.3 \%=0.163$ that the doctoral recipients gets a degree in engineering. Thus, we simply subtract from $1$ to negate this probability:
$P(\text{degree not in engineering})=1-P(\text{degree in engineering})=1-0.163=0.837$
or
$83.7\%$