diff --git a/core/lib/Drupal/Core/Config/Schema/Element.php b/core/lib/Drupal/Core/Config/Schema/Element.php
index 2563ec5..ee3123e 100644
--- a/core/lib/Drupal/Core/Config/Schema/Element.php
+++ b/core/lib/Drupal/Core/Config/Schema/Element.php
@@ -22,10 +22,36 @@
   protected $value;
 
   /**
+   * The parent element object.
+   *
+   * @var Element
+   */
+  protected $parent;
+
+  /**
    * Create typed config object.
    */
   protected function parseElement($key, $data, $definition) {
     return \Drupal::service('config.typed')->create($definition, $data, $key, $this);
   }
 
+  /**
+   * Get the full config path of the element.
+   *
+   * @return string
+   *   The full config path of the element starting with the top element key
+   *   followed by a colon followed by element names separated with dots.
+   *   For example: views.view.content:display.default.display_options.
+   */
+  protected function getFullName() {
+    if (isset($this->parent)) {
+      // Ensure if the parent was the root element, we do not add a dot after.
+      return str_replace(':.', ':', $this->parent->getFullName() . '.' . $this->getName());
+    }
+    else {
+      // If there is no parent, this is the root element, add a colon.
+      return $this->getName() . ':';
+    }
+  }
+
 }
diff --git a/core/lib/Drupal/Core/Config/Schema/Mapping.php b/core/lib/Drupal/Core/Config/Schema/Mapping.php
index 19fb596..1d0217c 100644
--- a/core/lib/Drupal/Core/Config/Schema/Mapping.php
+++ b/core/lib/Drupal/Core/Config/Schema/Mapping.php
@@ -37,6 +37,10 @@ protected function parse() {
    *
    * Since all configuration objects are mappings the function will except a dot
    * delimited key to access nested values, for example, 'page.front'.
+   *
+   * @throws \Drupal\Core\Config\Schema\SchemaIncompleteException
+   *   If a property is requested that does not have schema or does not exist in
+   *   the data.
    */
   public function get($property_name) {
     $parts = explode('.', $property_name);
@@ -46,14 +50,14 @@ public function get($property_name) {
       $element = $elements[$root_key];
     }
     else {
-      throw new SchemaIncompleteException(String::format("The configuration property @key doesn't exist.", array('@key' => $property_name)));
+      throw new SchemaIncompleteException(String::format("@key.@element does not exist or does not have schema defined.", array('@key' => $this->getFullName(), '@element' => $property_name)));
     }
 
     // If $property_name contained a dot recurse into the keys.
     foreach ($parts as $key) {
      if (!is_object($element) || !method_exists($element, 'get')) {
-        throw new SchemaIncompleteException(String::format("The configuration property @key does not exist.", array('@key' => $property_name)));
-      }
+       throw new SchemaIncompleteException(String::format("@key.@element does not exist or does not have schema defined.", array('@key' => $this->getFullName(), '@element' => $property_name)));
+     }
       $element = $element->get($key);
     }
     return $element;
diff --git a/core/lib/Drupal/Core/Config/StorableConfigBase.php b/core/lib/Drupal/Core/Config/StorableConfigBase.php
index 4a5fd1d..5258723 100644
--- a/core/lib/Drupal/Core/Config/StorableConfigBase.php
+++ b/core/lib/Drupal/Core/Config/StorableConfigBase.php
@@ -128,7 +128,7 @@ public function getStorage() {
   protected function getSchemaWrapper() {
     if (!isset($this->schemaWrapper)) {
       $definition = $this->typedConfigManager->getDefinition($this->name);
-      $this->schemaWrapper = $this->typedConfigManager->create($definition, $this->data);
+      $this->schemaWrapper = $this->typedConfigManager->create($definition, $this->data, $this->name);
     }
     return $this->schemaWrapper;
   }
@@ -169,16 +169,7 @@ protected function validateValue($key, $value) {
    *   Exception on unsupported/undefined data type deducted.
    */
   protected function castValue($key, $value) {
-    $element = FALSE;
-    try {
-      $element = $this->getSchemaWrapper()->get($key);
-    }
-    catch (SchemaIncompleteException $e) {
-      // @todo Consider making schema handling more strict by throwing
-      // SchemaIncompleteException for all incomplete schema conditions *and*
-      // throwing it forward. See https://drupal.org/node/2183983.
-      // Until then, we need to handle the Undefined case below.
-    }
+    $element = $this->getSchemaWrapper()->get($key);
     // Do not cast value if it is unknown or defined to be ignored.
     if ($element && ($element instanceof Undefined || $element instanceof Ignore)) {
       return $value;
diff --git a/core/modules/config/src/Tests/ConfigSchemaTestBase.php b/core/modules/config/src/Tests/ConfigSchemaTestBase.php
index eac1a75..1b737f4 100644
--- a/core/modules/config/src/Tests/ConfigSchemaTestBase.php
+++ b/core/modules/config/src/Tests/ConfigSchemaTestBase.php
@@ -61,7 +61,7 @@ public function assertConfigSchema(TypedConfigManagerInterface $typed_config, $c
       return;
     }
     $definition = $typed_config->getDefinition($config_name);
-    $this->schema = $typed_config->create($definition, $config_data);
+    $this->schema = $typed_config->create($definition, $config_data, $config_name);
     $this->configPass = TRUE;
     foreach ($config_data as $key => $value) {
       $this->checkValue($key, $value);
diff --git a/core/modules/menu_ui/config/schema/menu_ui.schema.yml b/core/modules/menu_ui/config/schema/menu_ui.schema.yml
index ce6be8b..7625f0d 100644
--- a/core/modules/menu_ui/config/schema/menu_ui.schema.yml
+++ b/core/modules/menu_ui/config/schema/menu_ui.schema.yml
@@ -24,3 +24,6 @@ menu.entity.node.*:
       sequence:
        - type: string
          label: 'Menu machine name'
+    parent:
+      type: string
+      label: 'Parent'