Get $_POST from multiple checkboxes

Edit To reflect what @Marc said in the comment below.

You can do a loop through all the posted values.

HTML:

<input type="checkbox" name="check_list[]" value="<?=$rowid?>" />
<input type="checkbox" name="check_list[]" value="<?=$rowid?>" />
<input type="checkbox" name="check_list[]" value="<?=$rowid?>" />

PHP:

foreach($_POST['check_list'] as $item){
  // query to delete where item = $item
}

Set the name in the form to check_list[] and you will be able to access all the checkboxes as an array($_POST['check_list'][]).

Here's a little sample as requested:

<form action="test.php" method="post">
    <input type="checkbox" name="check_list[]" value="value 1">
    <input type="checkbox" name="check_list[]" value="value 2">
    <input type="checkbox" name="check_list[]" value="value 3">
    <input type="checkbox" name="check_list[]" value="value 4">
    <input type="checkbox" name="check_list[]" value="value 5">
    <input type="submit" />
</form>
<?php
if(!empty($_POST['check_list'])) {
    foreach($_POST['check_list'] as $check) {
            echo $check; //echoes the value set in the HTML form for each checked checkbox.
                         //so, if I were to check 1, 3, and 5 it would echo value 1, value 3, value 5.
                         //in your case, it would echo whatever $row['Report ID'] is equivalent to.
    }
}
?>