[jquery] jquery change class name

EDIT:

If you're saying that you're changing it from a nested element, you don't need the ID at all. You can do this instead:

$(this).closest('td').toggleClass('change_me some_other_class');
    //or
$(this).parents('td:first').toggleClass('change_me some_other_class');

Original answer:

$('#td_id').removeClass('change_me').addClass('some_other_class');

Another option is:

$('#td_id').toggleClass('change_me some_other_class');