You can change the name of your business by going to the Company Details tab on your Account Settings page.
Click the Cog icon in the top-right.
Click Company Details in the left-side menu.
Enter a new company name in the Company Name field.
You can change the name of your company in RotaCloud without it affecting functionality. There will be cosmetic changes (e.g. to the text displayed in Notifications), but everything will continue to work as before.