Save jQuery UI Sortable

I have a simple jQuery Sortable code and I need it to save when the order is changed.

I have seen this post but I can’t get it to work.

I think my main issue is I don’t know where to put this:

$args= array(
    'meta_key' => 'c3m_shown_on',
    'meta_value'=> 'home'
    'orderby' => 'menu_order',
    'order' => 'ASC'
);
$box_query = new WP_Query($args);

Here is the basic part of my code …

HTML:
<ul id="sortable">
<li class="ui-state-default">Item 1</li>
<li class="ui-state-default">Item 2</li>
<li class="ui-state-default">Item 3</li>
</ul>

jQuery:
 <script>
$(function() {
$( "#sortable" ).sortable();
 });
</script>

*Note I am using Multisite