Step 1 - Go to https://developer.apple.com/account and log in with your Apple ID.
Step 2 - Click on Membership on the left column of the account page.
Step 3 - Click on the "Need to edit this information?" text at the bottom right of the membership page.
Step 4 - Click on the "Provide your new organization information " text on the pop-up that appears.
Step 5 - Fill out the form titled "Individual to Organization Membership Update" with the required information.