We give a physical description in terms of percolation theory of the p
hase transition that occurs when the disorder increases in the random
antiferromagnetic spin-1 chain between a gapless phase with hidden top
ological order and a random singlet phase. We study the statistical pr
operties of the percolation clusters by numerical simulations, and we
compute exact exponents characterizing the transition by a real-space
renormalization group calculation.