Skip to main content
Math & Converters

Percentage Calculator: Calculate Percentages, Discounts & Change

July 2026 โ€ข 5 min read

Percentages show up everywhere โ€” a 30% off sale, a 15% tip, a salary raise, a test score, the interest on a loan. The math is simple in theory, but doing it in your head under pressure invites mistakes. A percentage calculator gives you the exact answer instantly, whether you need a share of a total, a discounted price, or the percent change between two numbers.

What a Percentage Actually Is

A percentage is just a fraction out of 100. "Per cent" literally means "per hundred," so 25% is another way of writing 25/100, or 0.25. To find a percentage of a number, you convert the percent to a decimal and multiply. To find what percentage one number is of another, you divide and multiply by 100. Those two operations cover the vast majority of everyday percentage questions.

20% of 150 = 0.20 ร— 150 = 30 45 is what % of 180 = (45 รท 180) ร— 100 = 25% Increase 80 by 15% = 80 ร— 1.15 = 92

How to Use the Calculator

The tool is built around the three questions people ask most. Pick the mode that matches what you are trying to find, type in your numbers, and read the result โ€” no formulas to remember.

  1. 1.Open the Percentage Calculator and choose your mode: percentage of a number, one number as a percent of another, or percent change.
  2. 2.Enter your values โ€” for example, 30 and 250 to find "30% of 250."
  3. 3.Read the answer instantly as you type; there is no submit button or page reload.
  4. 4.Adjust any field to explore alternatives โ€” bump the discount from 20% to 25% and watch the final price update in real time.

Discounts and Percent Change in Real Life

The most useful percentage skill for shopping is turning a discount into a final price. A jacket marked $120 with 35% off is not $120 minus 35 โ€” it is $120 ร— (1 โˆ’ 0.35) = $78, saving you $42. Percent change works the same way but compares a before and after value, which is how you read price hikes, stock moves, and performance numbers:

  • โ€ข Discount โ€” Final = Original ร— (1 โˆ’ discount%). A $60 item at 25% off costs $45.
  • โ€ข Markup / increase โ€” New = Original ร— (1 + rate%). Rent rising 8% from $1,500 becomes $1,620.
  • โ€ข Percent change โ€” ((New โˆ’ Old) รท Old) ร— 100. Going from 40 to 52 is a +30% change.
  • โ€ข Reverse percent โ€” If $78 is the price after 35% off, the original was $78 รท 0.65 = $120.

Common Mistakes to Avoid

The single biggest error is confusing a percentage-point change with a percent change. If a savings rate rises from 2% to 3%, that is a one percentage-point increase but a 50% relative increase โ€” very different statements. Another frequent slip is assuming a percentage increase and decrease cancel out: add 20% then subtract 20% and you do not return to your starting number (100 โ†’ 120 โ†’ 96). Finally, remember that stacked discounts multiply rather than add โ€” 20% off followed by another 10% off is 0.80 ร— 0.90 = 28% off total, not 30%.

Runs Entirely in Your Browser

Every calculation happens locally on your device using JavaScript. Nothing you enter โ€” no numbers, prices, or salaries โ€” is ever sent to a server, uploaded, or stored. That means the tool is fast, works offline once the page has loaded, and keeps your figures completely private. There is no account to create and no tracking of what you compute.

Try it now โ€” 100% free, no sign-up required

Open Percentage Calculator โ†’

Frequently Asked Questions

How do I calculate a percentage of a number by hand?

Convert the percent to a decimal by dividing by 100, then multiply. For 15% of 240, calculate 0.15 ร— 240 = 36. A handy mental shortcut: 10% is just the number with the decimal moved one place left (24), and 5% is half of that (12), so 15% = 24 + 12 = 36.

What is the difference between percent change and percentage points?

Percentage points measure the absolute gap between two percentages, while percent change measures the relative difference. Moving from 5% to 10% is a rise of 5 percentage points but a 100% percent change. News reports often blur the two, so it is worth checking which one a figure really describes.

How do I find the original price before a discount?

Divide the sale price by (1 minus the discount as a decimal). If an item costs $45 after a 25% discount, the original price was $45 รท 0.75 = $60. The calculator's reverse mode does this automatically so you do not have to work backwards.

Is the percentage calculator accurate for money and taxes?

Yes. It uses standard floating-point arithmetic and displays clean, rounded results suitable for prices, tips, tax, and interest. For legally binding invoices or accounting, always confirm the final rounding against your local tax rules, since some jurisdictions round at specific stages. For everyday budgeting and shopping, the results are exact.