  Knowledge of the Bs decay fraction of the Y(5S) resonance, fs, is important
for Bs meson studies at the Y(5S) energy. Using a data sample collected by the
CLEO III detector at CESR consisting of 0.423/fb on the Y(5S) resonance,
6.34/fb on the Y(4S) and 2.32/fb in the continuum below the Y(4S), we measure
B(Y(5S) -> phi X)=(13.8 +/- 0.7 {+2.3}{-1.5})% 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 determine fs = (24.6 +/-
2.9 {+11.0}{-5.3})%. We also update our previous independent measurement of fs
made using the inclusive Ds yields to now be (16.8 +/- 2.6 {+6.7}{-3.4)%, due
to 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=(21 {+6}{-3})%.
