Try Tie::Hash::Sorted. 
#!perl

use strict;
use warnings;
use diagnostics;
use Tie::Hash::Sorted;
use Data::Dumper::Concise;

use constant KANRI_01_0    => 0x00000001; # TBC
use constant KANRI_01_1    => 0x00000002; # TBC
use constant KANRI_02_0    => 0x00000004; # TBC
use constant KANRI_02_1    => 0x00000008; # TBC
use constant KANRI_03_0    => 0x00000010; # TBC
use constant KANRI_04_1    => 0x00000020; # TBC
use constant KANRI_04_2    => 0x00000040; # TBC
use constant KANRI_04_3    => 0x00000080; # TBC
use constant KANRI_04_4    => 0x00000100; # TBC
use constant KANRI_05_1    => 0x00000200; # TBC
use constant KANRI_05_2    => 0x00000400; # TBC
use constant KANRI_06_1    => 0x00000800; # TBC
use constant KANRI_07_1    => 0x00001000; # TBC
use constant KANRI_07_2    => 0x00002000; # TBC
use constant KANRI_07_3    => 0x00004000; # TBC
use constant KANRI_07_4    => 0x00008000; # TBC
use constant KANRI_07_5    => 0x00010000; # TBC
use constant KANRI_08_1    => 0x00020000; # TBC

my %menu =
           ( Outer1    =>  { O1Inne1    => KANRI_04_1,
                                     O1Inne2    => KANRI_04_2,
                                     O1Inne3    => KANRI_04_3,
                                     O1Inne4    => KANRI_04_4,
                               },
                Outer2        => { O2Inne1    => KANRI_05_1 },
                Outer3        => { O3Inne1    => KANRI_06_1 },
                Outer4        => { O4Inne1    => KANRI_07_1,
                                     O4Inne2    => KANRI_07_2,
                                     O4Inne3    => KANRI_07_3,
                                     O4Inne4    => KANRI_07_4,
                                     O4Inne5    => KANRI_07_5,
                             },
                Outer5        => { O5Inne1    => KANRI_08_1 },
                );            

my $sort_by_numeric_value = sub {
    my $menu = shift;
    [ sort {$menu->{$a} <=> $menu->{$b}} keys %$menu ];
};

tie my %sorted_menu, 'Tie::Hash::Sorted',
    'Hash'         => \ %menu,
    'Sort_Routine' => $sort_by_numeric_value;
    
for my $key ( keys %sorted_menu ) {
    warn Dumper( $key, $sorted_menu{$key});
}

[download]
Update: Here's a prettier-print: 

#!perl

use strict;
use warnings;
use diagnostics;
use Tie::Hash::Sorted;
use YAML;
use YAML::Dumper;

use constant KANRI_01_0    => 0x00000001; # TBC
use constant KANRI_01_1    => 0x00000002; # TBC
use constant KANRI_02_0    => 0x00000004; # TBC
use constant KANRI_02_1    => 0x00000008; # TBC
use constant KANRI_03_0    => 0x00000010; # TBC
use constant KANRI_04_1    => 0x00000020; # TBC
use constant KANRI_04_2    => 0x00000040; # TBC
use constant KANRI_04_3    => 0x00000080; # TBC
use constant KANRI_04_4    => 0x00000100; # TBC
use constant KANRI_05_1    => 0x00000200; # TBC
use constant KANRI_05_2    => 0x00000400; # TBC
use constant KANRI_06_1    => 0x00000800; # TBC
use constant KANRI_07_1    => 0x00001000; # TBC
use constant KANRI_07_2    => 0x00002000; # TBC
use constant KANRI_07_3    => 0x00004000; # TBC
use constant KANRI_07_4    => 0x00008000; # TBC
use constant KANRI_07_5    => 0x00010000; # TBC
use constant KANRI_08_1    => 0x00020000; # TBC

my %menu =
           ( Outer1    =>  { O1Inne1    => KANRI_04_1,
                                     O1Inne2    => KANRI_04_2,
                                     O1Inne3    => KANRI_04_3,
                                     O1Inne4    => KANRI_04_4,
                               },
                Outer2        => { O2Inne1    => KANRI_05_1 },
                Outer3        => { O3Inne1    => KANRI_06_1 },
                Outer4        => { O4Inne1    => KANRI_07_1,
                                     O4Inne2    => KANRI_07_2,
                                     O4Inne3    => KANRI_07_3,
                                     O4Inne4    => KANRI_07_4,
                                     O4Inne5    => KANRI_07_5,
                             },
                Outer5        => { O5Inne1    => KANRI_08_1 },
                );            

my $sort_by_numeric_value = sub {
    my $menu = shift;
    [ sort {$menu->{$a} <=> $menu->{$b}} keys %$menu ];
};

my $dumper = YAML::Dumper->new;
$dumper->indent_width(1);

tie my %sorted_menu, 'Tie::Hash::Sorted',
    'Hash'         => \ %menu,
    'Sort_Routine' => $sort_by_numeric_value;
    
    
for my $key ( keys %sorted_menu ) {
    print $dumper->dump(
    {ascending_values => [$key, $sorted_menu{$key}]});
}

[download]

In reply to Re: Problem with printing a Hash of Hashes in order by Khen1950fx
in thread Problem with printing a Hash of Hashes in order by KyussRyn

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