Add more details to and reformat the Cloud plugin README. (#109529)

docs/developer/plugin-list.asciidoc

@@ -366,8 +366,7 @@ The plugin exposes the static DefaultEditorController class to consume.
 
 
 |{kib-repo}blob/{branch}/x-pack/plugins/cloud/README.md[cloud]
-|The cloud plugin adds cloud specific features to Kibana.
-The client-side plugin configures following values:
+|The cloud plugin adds Cloud-specific features to Kibana.
 
 
 |{kib-repo}blob/{branch}/x-pack/plugins/cross_cluster_replication/README.md[crossClusterReplication]

x-pack/plugins/cloud/README.md

@@ -1,11 +1,47 @@
 # `cloud` plugin
 
-The `cloud` plugin adds cloud specific features to Kibana.
-The client-side plugin configures following values: 
-- `isCloudEnabled = true` for both ESS and ECE deployments
-- `cloudId` is the ID of the Cloud deployment Kibana is running on  
-- `baseUrl` is the URL of the Cloud interface, for Elastic Cloud production environment the value is `https://cloud.elastic.co`
-- `deploymentUrl` is the URL of the specific Cloud deployment Kibana is running on, the value is already concatenated with `baseUrl`
-- `profileUrl` is the URL of the Cloud user profile page, the value is already concatenated with `baseUrl`
-- `organizationUrl` is the URL of the Cloud account (& billing) page, the value is already concatenated with `baseUrl`
-- `cname` value is the same as `baseUrl` on ESS but can be customized on ECE
+The `cloud` plugin adds Cloud-specific features to Kibana.
+
+## Client-side API
+
+The client-side plugin provides the following interface.
+
+### `isCloudEnabled`
+
+This is set to `true` for both ESS and ECE deployments.
+
+### `cloudId`
+
+This is the ID of the Cloud deployment to which the Kibana instance belongs.
+
+**Example:** `eastus2.azure.elastic-cloud.com:9243$59ef636c6917463db140321484d63cfa$a8b109c08adc43279ef48f29af1a3911`
+
+### `baseUrl`
+
+This is the URL of the Cloud interface.
+
+**Example:** `https://cloud.elastic.co` (on the ESS production environment)
+
+### `deploymentUrl`
+
+This is the path to the Cloud deployment management page for the deployment to which the Kibana instance belongs. The value is already prepended with `baseUrl`.
+
+**Example:** `{baseUrl}/deployments/bfdad4ef99a24212a06d387593686d63`
+
+### `profileUrl`
+
+This is the path to the Cloud User Profile page. The value is already prepended with `baseUrl`.
+
+**Example:** `{baseUrl}/user/settings/`
+
+### `organizationUrl`
+
+This is the path to the Cloud Account and Billing page. The value is already prepended with `baseUrl`.
+
+**Example:** `{baseUrl}/account/`
+
+### `cname`
+
+This value is the same as `baseUrl` on ESS but can be customized on ECE.
+
+**Example:** `cloud.elastic.co` (on ESS)