Programming

$ cat bear.awk

BEGIN { FS="," }

{
        T[$1]+=$2;
        V[$1,$3]+=$2;
        C[$1]=C[$1] "|" $3
}

END {
        for(X in T)
        {
                MAX=split(C[X], ARR, "|");
                for(N=2; N<=MAX; N++)
                {
                        printf("%s,%s=%d%%\n",
                                ARR[N], X, 100*(V[X,ARR[N]]/T[X]));
                }
        }
}

$ awk -f bear.awk data

white,chicken=22%
yellow,chicken=44%
black,chicken=33%
white,bear=66%
black,bear=33%
yellow,lion=85%
white,lion=14%

$