Converters & calculators

Unit, money and grade calculators that show the method, not just the answer.

Written for: Everyone else, quickly · People moving text between systems · Students and language learners

What this family is for

A calculator is only useful if you can see where the number came from. Unit conversion goes wrong when the factor is hidden — a mile is 1.609344 kilometres exactly, a pound is 0.45359237 kilograms, and a megabyte is a thousand kilobytes while a mebibyte is 1,024. Debt payoff and GPA go wrong when the method is hidden: interest charged monthly, spare cash rolled onto the next debt, quality points divided by credits. These tools run the arithmetic in your browser and state the rule behind every result.

Which calculator answers which question

The finance calculators look interchangeable and are not. Percent change, markup, margin, ROI, break-even and compound interest answer different questions, and using the wrong one produces a number that is arithmetically correct and commercially wrong. The difference is always the denominator: margin divides profit by the selling price, markup divides the same profit by the cost, and ROI divides the net gain by what was invested. On a £100 cost sold at £150 the profit is £50, which is a 50% markup and a 33.3% margin — both true, and one of them will get a pricing decision wrong.

Break-even is the other one people reach for by mistake: it asks how many units cover fixed costs, so it needs a per-unit margin (price minus variable cost) and a fixed cost figure that does not change with volume. It cannot tell you whether a price is profitable — that is margin — only when the fixed costs are paid off. And compound interest is not the same as simple growth: the year-by-year split on that page shows how much of the final value is contributions and how much is interest on interest, which is the part people underestimate.

The non-financial side is simpler but shares one trap: units. A unit converter that silently treats a megabyte as 1,024 kilobytes disagrees with a storage vendor and agrees with an operating system; both conventions exist here and are labelled. Grade and debt calculators show their method because the method is the answer — snowball and avalanche order debts differently and therefore cost different amounts, and a weighted GPA is not an unweighted one.

If you have… Use Because
Convert between units of length, mass, temperature or data Unit converter States the exact factor, including the offset terms temperatures need
A number in another base Number base converter Exact for long values; any base from 2 to 36
Profit as a share of the selling price Profit margin calculator Margin divides by price; markup divides by cost — the page shows both
The selling price for a target markup Markup calculator Solves for price from cost and markup, with a conversion table
Return on an investment, annualised ROI calculator Net gain over amount invested, plus CAGR to compare different holding periods
How many units before fixed costs are covered Break-even calculator Needs fixed cost and per-unit margin, not a total revenue figure
Commission on a sale, or the rate behind a payout Commission calculator Both directions, plus what the seller keeps
What a loan costs per month Loan calculator Amortisation schedule, so the interest total is visible
How a lump sum and monthly savings grow Compound interest calculator Year-by-year split of contributions and interest earned
How long until a savings target Savings goal calculator Solves for the number of months, not the final balance
A percent of something, or a percent change Percentage calculator Four percentage questions on one page, each with its own formula
Which debt to clear first Debt payoff calculator Snowball and avalanche compared side by side
A GPA, weighted or on a target GPA calculator Quality points over credits, and the grades still needed to hit a target
Scaling an image or video to a ratio Aspect ratio calculator Simplifies a ratio and finds matching standard resolutions

14 tools in Converters & calculators

Unit Converter Convert length, mass, temperature, digital storage and time, showing the exact factor behind the result. Number Base Converter Convert numbers between binary, decimal, hexadecimal, octal and any base from 2 to 36 — exact for long values, entirely in your browser. Debt Payoff Calculator See which debt to pay first, your debt-free month and the interest you will pay — with the snowball and avalanche methods compared side by side. GPA Calculator Work out semester, weighted and cumulative GPA from letters, percentages or grade points, and the GPA still needed to reach a target. Loan Calculator Work out the monthly payment on a fixed-rate loan, the total interest and a full amortisation schedule from the amount, rate and term. Compound Interest Calculator Project how a lump sum and monthly contributions grow with compound interest, with a year-by-year split of contributions and interest earned. Savings Goal Calculator See how many months it takes to reach a savings target from a starting amount, a monthly saving and an interest rate. Percentage Calculator A percent of a value, one number as a percent of another, percentage change, and increase or decrease by a percent — four calculators in one page. Profit Margin Calculator Profit margin and markup from cost and selling price, the price for a target margin, and a margin ↔ markup converter. Markup Calculator Markup percentage from cost and selling price, the selling price for a target markup, and a markup ↔ margin converter with a reference table. ROI Calculator Return on investment from the amount invested and its final value — the net gain, the ROI percentage, and the annualised (CAGR) rate. Break-Even Calculator The break-even point in units and revenue from fixed costs, selling price and variable cost — plus the profit at any sales volume. Commission Calculator Commission earned on a sale at any rate, the amount kept afterwards, and the rate implied by a payout you were given. Aspect Ratio Calculator Simplify a width:height ratio, scale one side to a target size, fit to a box and find common resolutions that match.

Common mistakes with these tools

  • Quoting markup as margin — The same £50 profit is a 50% markup and a 33% margin. Reporting the markup as if it were margin overstates profitability by half at these numbers.
  • Using ROI to compare different holding periods — A 20% return over one year and over five are not the same investment. The annualised (CAGR) figure is the one that can be compared; the raw ROI cannot.
  • Feeding total revenue into break-even — Break-even needs price and variable cost per unit, plus fixed costs. A lump revenue figure has no per-unit margin to divide by.
  • Assuming a megabyte is always 1,024 kilobytes — SI says 1,000 (kB); the binary prefix says 1,024 (KiB). Storage is sold in the former and often displayed in the latter, which is why a “500 GB” drive shows less in the OS.
  • Treating a monthly interest rate as an annual one divided by twelve — Twelve monthly compounding periods at r/12 produce more than r per year. The nominal and effective rates differ, and the calculator states which one it applies.
  • Comparing a weighted GPA with an unweighted one — They are computed over different credit totals. A 3.7 on a weighted scale and a 3.7 unweighted are not the same standing, and a target calculation has to use the same scale as the input.

Frequently asked questions

Why is temperature different from other conversions?

Most units scale from zero, so a single factor multiplies them. Temperature scales do not share a zero: 0 °C is 32 °F and 273.15 K, so the conversion needs an offset as well as a factor.

Is a kilobyte 1,000 or 1,024 bytes?

SI says 1,000 (kB) and the binary prefix says 1,024 (KiB). Both are offered here and labelled, because storage vendors and operating systems disagree in practice.

How precise are the results?

The factors are the exact defined values (for example 1 in = 0.0254 m), and results are shown rounded for reading rather than truncated.

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