When your customers purchase your offer, they will receive a receipt email from PayPal or Stripe (depends on which payment provider is used).
Through the receipt, they will see your business name.
Here’s how the receipt looks:
The business name follows what is set in your (the seller) Stripe account.
The business name follows what is set in your (the seller) PayPal account.
Additionally, your customers should also see the same “name” on their bank statements.