How to get AJAX to post on second page?

$( document ).ready(function() {

$("button").click(function() {
var dataPoint = "chunk of data";
    ///////// AJAX //////// AJAX //////////
        $.ajax({
            type: 'POST',
            url:  'some_page_name.php',
            data: {dataPoint:dataPoint},
            success: function( response ){
                $('#success').html("Sent!!");
            }
        });
    ///////// AJAX //////// AJAX /////////

  });

<button>Click me</button>
<div id="success"></div>