How to transfer a pre existing minecraft account to another computer?

Am getting a new desktop and I already purchased minecraft on my laptop and would like to play it on my new desktop but, I don't know how to.

On your new desktop go to Minecraft.net. Log in. Download. Play. Mojang allows you to download Minecraft as many times as you want. You will probably be asked your security question to make sure you're you.

The account is tied to you, not your computer.