How to change account permissions without being the administrator

Hello I have a problem,

i got a new laptop at work and the account i use for logging is the same as the old one but on a different domain. Sadly this new account has limited permissions where the old account on the old computer had administrative access. But both computers are on the same localgroup.

I tried enabling on the new computer the built in administrative account to change my accounts permissions, but when i try to confirm the changes i get the security prompt for the admin password and account. Tried all the steps as in the link below.
Built-in Administrator Account - Enable or Disable

So i was wondering if there is a way to increase the permissions without being the administrator or is there any way i could access the account from the old pc and admin account there?

Just to say the reason, our administrator/IT guys had a car crash and he wont be in office for a month and i need that account to change so i can install my work software on the new pc i've been waiting for a year to get.