Recent results have suggested that the density of baryons in the Unive
rse, Omega(B), is much more uncertain than previously thought, and may
be significantly higher. We demonstrate that a higher Omega(B) increa
ses the viability of critical-density cold dark matter (CDM) models. A
high baryon fraction offers the twin benefits of boosting the first p
eak in the microwave anisotropy power spectrum and of suppressing shor
t-scale power in the matter power spectrum. These enable viable CDM mo
dels to have a larger Hubble constant than otherwise possible. We carr
y out a general exploration of high-Omega(B) CDM models, varying the H
ubble constant h and the spectral index n. We confront a variety of ob
servational constraints and discuss specific predictions. Although som
e observational evidence may favour baryon fractions as high as 20 per
cent, we find that values around 10 to 15 per cent provide a reasonab
le fit to a wide range of data. We suggest that models with Omega(B) i
n this range, with h similar or equal to 0.5 and n similar or equal to
0.8, are currently the best critical-density CDM models.