A business is a relationship between two people where each person receives something subjectively valuable from the other person.
Value can come in the form of money, labor, food, etc.
Person 1 needs something done.
Person 2 has the capability to do that thing.
A business is created when Person 1 pays Person 2 to do the thing.
There is a mutual understanding that Person 2 must do a good job in order to be paid.
There is also a mutual understanding that Person 1 must pay if Person 2 does a good job.
Branding, websites, social media, logo designs, software, employees, office space, legal documents, and anything else that goes into a business is secondary.
Do something for somebody.