The Mechanics of Sales Tax Formulas
Sales tax is an ad valorem consumption tax calculated as a percentage of the retail transaction value. Depending on whether you are invoicing client services (forward tax) or reviewing cash receipts (reverse tax), you use different percentage equations.
1. Adding Sales Tax (Forward)
To calculate the tax amount and total gross price from a known net price:
where $r$ is the tax rate in decimal format (e.g., 8.25% = 0.0825).
2. Stripping Sales Tax (Reverse)
To solve for the pre-tax net cost when you only have the final receipt total:
Understanding reverse tax is critical for businesses that sell goods in regions where VAT is already integrated into the sticker price.