diff --git a/core/lib/Drupal/Core/Config/ConfigInstaller.php b/core/lib/Drupal/Core/Config/ConfigInstaller.php
index 242d92097e..1cbf47fc40 100644
--- a/core/lib/Drupal/Core/Config/ConfigInstaller.php
+++ b/core/lib/Drupal/Core/Config/ConfigInstaller.php
@@ -126,10 +126,8 @@ public function installDefaultConfig($type, $name) {
         $config_to_create = $this->getConfigToCreate($storage, $collection, $prefix, $profile_storages);
         // If we're installing a profile ensure configuration that is overriding
         // is excluded.
-        if ($name == $this->drupalGetProfile()) {
-          $existing_configuration = $this->getActiveStorages($collection)->listAll();
-          $config_to_create = array_diff_key($config_to_create, array_flip($existing_configuration));
-        }
+        // @todo Exclude simple configuration that already exists because it
+        //   will have been imported already.
         if (!empty($config_to_create)) {
           $this->createConfiguration($collection, $config_to_create);
         }
@@ -258,7 +256,22 @@ protected function getConfigToCreate(StorageInterface $storage, $collection, $pr
       if ($profile_storage->getCollectionName() != $collection) {
         $profile_storage = $profile_storage->createCollection($collection);
       }
-      $data = $profile_storage->readMultiple(array_keys($data)) + $data;
+      $profile_overrides = $profile_storage->readMultiple(array_keys($data));
+      if ($this->drupalInstallationAttempted()) {
+        // During installation profile provided configuration overrides can have
+        // dependencies that can not possibly be installed. Therefore, only
+        // override simple configuration.
+        foreach ($profile_overrides as $name => $override_data) {
+          if (!isset($override_data['dependencies'])) {
+            $data[$name] = $override_data;
+          }
+        }
+      }
+      else {
+        // Allow install profiles to override configuration when installing
+        // extension after Drupal installation.
+        $data = $profile_overrides + $data;
+      }
     }
     return $data;
   }