$(5pts$;$1pt$ formula, $2pts$ steps and $2$ pts for the final answer$)$ If inputs increase by $15\%$ and outputs decrease by $20\%,$ what is the percentage change in productivity? For your final answer only, please round to the $2^{nd}$ digit after the decimal point; for example $30\%=0\mathrm{.}30$ with $0\mathrm{.}30$ as $2^{nd}$ digit after the decimal point. Your answer needs to indicate both the percentage and direction of change: i$.$e$.,1pt$ for the percentage of change and $1pt$ for the direction of change.