How to rename an Organization?

Symptoms:

• I want to change/update my Organization name.
• I don’t like my Organization name.
• I want to create a new Organization using the same name as another Organization.

Causes:

When you create a new Unity ID, Unity automatically creates a default Organization on your account. This default Organization has the same name as your account username. You might want to call this Organization something different.

Each Organization must have a unique name.

Resolution:

Only Owners of the Organization can rename the Organization. To do so, follow the steps below:

1. Sign into your Unity ID at id.unity.com
2. Click Organizations to the left of the screen.
3. Click the Organization you would like to rename. 
4. Click the Edit button in the top left corner of the Organization Details window. 
5. Change the Organization name.
6. Click Save.

More information:

How Do I Delete An Organization From My Account?
How Do I Invite Members To My Organization?
What Can Owners, Managers, And Users Do In An Organization?
What Is An Organization?