If your names always have a > before them, you could set $/ to that to pick out the records. It might look something like this:

$/ = '>';
while ( <> ) {
    chomp;
    next if ! s{ \A (\S+) \s+ (?= \d ) }{}xms;
    my $name = $1;
    my @numbers = split /\D+/;
    my $one_number = $numbers[$href{$name} - 1];
    if ( $one_number >= 20 ) {
        print "$name $href{$name} $one_number\n";
    }
}
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The above code is not tested, but it should be a good start.

By the way, %href is not a very good name for a hash. It's only a little better if it's the name of a hash reference, or maybe if you're storing URLs.

Also by the way, it's better to use <code> tags only for your code and not for the whole article.