Percentage Math Explained

The Percentage Math Blog

Practical guides on how percentages work in real life -- from tipping and discounts to inflation, compound interest, and nutrition labels.

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How Compound Interest Works -- And Why the Percentage Rate Matters So Much

A 1% difference in interest rate can mean tens of thousands of dollars over a lifetime of saving or borrowing. Here's how compound interest works in plain math.

Sales Tax by State: What You Actually Pay in 2026

Five states charge zero sales tax. Others pile on state and local rates that push past 10%. Here's a plain-English guide to how sales tax works across the US -- and how to calculate exactly what you'll pay.

Profit Margin vs. Markup: Why Getting This Wrong Costs You Money

Margin and markup both measure profitability, but they use different bases -- and confusing them is one of the most common pricing mistakes in small business. Here's exactly how each one works.

How to Calculate Sales Tax on Any Purchase

The formula for calculating sales tax is simple, but knowing how to reverse it -- finding the pre-tax price from a total -- is where most people get stuck. Here's both.

US Sales Tax Rates by State: The Complete 2026 Guide

A full 50-state sales tax reference table with state rates, average local rates, and combined rates -- plus the real-dollar difference on a $500 purchase in the highest- and lowest-tax states.

Profit Margin Explained: Gross, Operating, and Net -- With Worked Examples

A business with 60% gross margin can still be losing money. Understanding the three layers of profit margin -- gross, operating, and net -- reveals what a financial statement actually says about a business.

How to Calculate a Discount and Compare Sale Prices Like a Pro

Is 30% off a $120 item better than $40 off a $90 item? Most people can't answer this instantly -- but with a few simple percentage tricks, you can. Here's how to calculate and compare discounts at a glance.

How to Figure Out Percent Off: The Fast Way to Calculate Any Sale Price

Standing in a store with a '30% off' tag? Here's the fastest way to calculate the sale price in your head -- no calculator required.

Is the Sale Actually a Good Deal? How to Decode Retail Discount Math

Retailers use three common tricks to make discounts look bigger than they are. Here is how to spot inflated original prices, stacked discounts that don't compound, and free-shipping thresholds designed to push you over budget.

How to Calculate Your True Cost After Coupon Stacking and Cash Back

A $200 item can reach $118 after a sale, coupon code, portal cash back, and credit card rewards -- if you know how to stack them in the right order. Here is the full sequence.

How to Calculate Your True Cost After a Discount and Sales Tax

A 25% discount doesn't mean you pay 25% less at checkout. Sales tax is added after the discount -- and the order matters. Here is the step-by-step sequence for any purchase.

Percent Off vs Dollars Off: Which Discount Is Actually Better?

Retailers know that '20% off' and '$20 off' hit your brain differently. Here is the math behind when each framing is actually better and how to compare them instantly.

How to Calculate Percentage Change: A Plain-English Guide

Percentage change is the most common percentage calculation in business and personal finance -- but most people aren't sure if they're doing it right. Here's the formula, the traps to avoid, and a dozen real examples.

How GPA and Grade Percentages Work: A Complete Guide for Students

What grade percentage equals a 3.5 GPA? How do you calculate your overall grade from multiple assignments? This guide explains the math behind academic grading clearly.

Percentage Difference vs. Percentage Change: Which One Do You Need?

These two calculations sound similar but answer completely different questions. Use the wrong one and your analysis is technically incorrect. Here's how to tell them apart every time.

10 Everyday Uses for the What Percent Calculator You Might Not Have Considered

"X is what percent of Y?" is one of the most common math questions in daily life -- from budgeting to nutrition to project tracking. Here are 10 practical ways to use it.

How to Calculate the Percentage of a Number: 3 Methods That Always Work

Whether you're working with a calculator, doing it in your head, or using a formula, here are three reliable methods for finding any percentage of any number.

What Is a Good Tip Percentage? The Complete Guide for Every Situation

15%, 18%, or 20%? The answer depends on the type of service, the quality of the experience, and where you are. Here's a practical guide to tipping in every common situation.

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