diff --git a/wp-admin/update-core.php b/wp-admin/update-core.php
index 570703e5d8..eebac90f11 100644
--- a/wp-admin/update-core.php
+++ b/wp-admin/update-core.php
@@ -177,13 +177,13 @@ function core_upgrade_preamble() {
 	$wp_version = get_bloginfo( 'version' );
 	$updates    = get_core_updates();
 
-	if ( ! isset( $updates[0]->response ) || 'latest' == $updates[0]->response ) {
+	if ( ! isset( $updates[0]->response ) || 'latest' === $updates[0]->response ) {
 		echo '<h2>';
 		_e( 'You have the latest version of WordPress.' );
 
 		if ( wp_http_supports( array( 'ssl' ) ) ) {
 			require_once ABSPATH . 'wp-admin/includes/class-wp-upgrader.php';
-			$upgrader            = new WP_Automatic_Updater;
+			$upgrader            = new WP_Automatic_Updater();
 			$future_minor_update = (object) array(
 				'current'       => $wp_version . '.1.next.minor',
 				'version'       => $wp_version . '.1.next.minor',
@@ -196,7 +196,9 @@ function core_upgrade_preamble() {
 			}
 		}
 		echo '</h2>';
-	} else {
+	}
+
+	if ( isset( $updates[0]->version ) && version_compare( $updates[0]->version, $wp_version, '>' ) ) {
 		echo '<div class="notice notice-warning"><p>';
 		_e( '<strong>Important:</strong> Before updating, please <a href="https://codex.wordpress.org/WordPress_Backups">back up your database and files</a>. For help with updates, visit the <a href="https://codex.wordpress.org/Updating_WordPress">Updating WordPress</a> Codex page.' );
 		echo '</p></div>';
@@ -206,9 +208,9 @@ function core_upgrade_preamble() {
 		echo '</h2>';
 	}
 
-	if ( isset( $updates[0] ) && $updates[0]->response == 'development' ) {
+	if ( isset( $updates[0] ) && 'development' === $updates[0]->response ) {
 		require_once ABSPATH . 'wp-admin/includes/class-wp-upgrader.php';
-		$upgrader = new WP_Automatic_Updater;
+		$upgrader = new WP_Automatic_Updater();
 		if ( wp_http_supports( 'ssl' ) && $upgrader->should_update( 'core', $updates[0], ABSPATH ) ) {
 			echo '<div class="updated inline"><p>';
 			echo '<strong>' . __( 'BETA TESTERS:' ) . '</strong> ' . __( 'This site is set up to install updates of future beta versions automatically.' );
@@ -224,7 +226,7 @@ function core_upgrade_preamble() {
 	}
 	echo '</ul>';
 	// Don't show the maintenance mode notice when we are only showing a single re-install option.
-	if ( $updates && ( count( $updates ) > 1 || $updates[0]->response != 'latest' ) ) {
+	if ( $updates && ( count( $updates ) > 1 || 'latest' !== $updates[0]->response ) ) {
 		echo '<p>' . __( 'While your site is being updated, it will be in maintenance mode. As soon as your updates are complete, your site will return to normal.' ) . '</p>';
 	} elseif ( ! $updates ) {
 		list( $normalized_version ) = explode( '-', $wp_version );