You need to enter the password for your user account on your Mac, the one you enter when you start up your Mac and log in.
I already tried that, it didn't work
There was an issue recently but it had been fixed. You can read the thread here - http://answers.ea.com/t5/Origin/Permission-Required-Helper-Tool-Error-Mac/m-p/4917270#M177378
Nevertheless, please use the Origin reset tool and then download and install the latest release of Origin. If that doesn't work use the reset tool again and download the beta build of Origin linked to in the thread above.
Origin reset tool - http://help.ea.com/uk/article/how-to-reset-origin-on-mac/
Latest Origin release - https://www.origin.com/en-gb/download
February beta build - https://eaassets-a.akamaihd.net/Origin-Client-Download/origin/forum/RL7465/Origin.dmg
