Using Grid you are "desktop publishing" your result which makes it nice to look at and pretty close to impossible to use for further calculations. Try this instead.
In[1]:= allx = Table[Table[x/.FindRoot[1.4712199999999998` Log[0.3080613378622851` + 1.4517158853306498` y*Q/x]+
5.52759` Log[3.2461067881456693` + 1.4517158853306498` y*Q/x] - (1.4712199999999998` Log[
0.3080613378622851` + 1.4517158853306498` 0] + 5.52759` Log[3.2461067881456693` +
1.4517158853306498` 0]) == (3.88212` Log[1.` + 0.04908626625087394` (1 - y)*Q/(1 - x)]) - (3.88212` Log[
1.` + 0.04908626625087394` 0]), {x, .999}], {Q, 0.05, 1, 0.05}], {y, {0.15}}]
Out[1]= {
{0.89657, 0.896151, 0.895753, 0.895373, 0.895011, 0.894666, 0.894337, 0.894024, 0.893725, 0.893439,
0.893167, 0.892907, 0.892659, 0.892422, 0.892197, 0.891981, 0.891776, 0.89158, 0.891393, 0.891214}}
That isn't as pretty to look at but now all your results are in the list allx and you can subscript them to extract single values, multiply allx by 3 to multiply all of them by 3, etc.
Notice that little x/. inserted in front of the FindRoot. That is substituting how FindRoot returns information about a root with just the value of the root it finds.