  Knowledge of the Bs decay fraction of the Y(5S) resonance, fs, is important
for Bs meson studies at the Y(5S) energy. Using data collected by the CLEO III
detector at CESR consisting of 0.423 1/fb on the Y(5S) resonance, 6.34 1/fb on
the Y(4S) and 2.32 1/fb in the continuum below the Y(4S), we measure B(Y(5S)->
phi X)=(13.2+/- 0.7 ^{+2.2}_{-1.4})% and B(Y (4S)-> phi X)=(7.1 +/- 0.1 +/-
0.6)%, the ratio of the two rates is (1.9 +/- 0.1 ^{+0.3}_{-0.2}). This is the
first measurement of the phi meson yield from the Y(5S). Using these rates, and
a model dependent estimate of B(Bs -> phi X), we measure fs=(27.3 +/- 3.2
^{+14.6}_{-~6.1})%. We update our previous, independent measurement of this
branching fraction using the inclusive Ds yields to be (21.8 +/- 3.4
^{+8.5}_{-4.2})%, due to changes in the $D_s^+ -> phi \pi^+$ branching fraction
and a better estimate of the number of hadronic events. We also report the
total Y(5S) hadronic cross section above continuum to be sigma(e^+e^- ->
Y(5S))=(0.301 +/- 0.002 +/- 0.039) nb. This allows us to extract the fraction
of B mesons as (58.9+/-10.0+/-9.2)%, equal to 1-fs. Averaging the three methods
gives a model dependent result of fs=(26^{+7}_{-4})%.
