A person has a transfer function $G(s)= \dfrac{Y(s)}{X(s)} = \dfrac{20}{90000s^2+240s+1}$.
Initially the process is at steady state with $x(t=0)=0.4$ and $y(t=0)=100$. If a step change in $x$ is given from $0.4$ to $0.5$, the maximum value of $y$ that will be observed before it reaches the new steady state is __________ (round off to $1$ decimal place).