Guides Behind the Calculators

Each calculator on this site answers one question. These twenty-seven guides cover the part a calculator cannot: what the inputs mean, where the standard formula stops being reliable, and how to tell a wrong answer from a merely surprising one.

They are written to be read alongside the tool they relate to, and every one links to it. Where a guide covers clinical material — drug dosing, infusion rates, body composition — it has been reviewed by our medical reviewer, and that review is stated on the page itself. The finance guides are not medically reviewed and do not pretend to be; their review dates are recorded on the about page.

Every Guide

Math

How to Convert Degrees to Radians

Multiply by pi and divide by 180, so 90 degrees is pi/2. The two formulas, the angles worth knowing by sight, where the 180 comes from, and why sin(90) hands your code 0.894 instead of 1.

Ashar Pervaiz··8 min read

Finance

The £1 That Adds £5,000 to Your Stamp Duty Bill

£500,000 costs £10,000 and £500,001 costs £15,000, because the relief is withdrawn whole rather than tapered. Between £300,000 and £500,000 it is worth a flat £5,000 — no more at the top than at the bottom.

Ashar Pervaiz··9 min read

Daily Use

HMRC Mileage Rates 2026/27: 45p Is Now 55p

The first change since 2011, and it is worth £1,000 at most however far you drive. At 15,000 miles the blended rate is back to 45p — and if your employer has not moved, the shortfall is claimable four years back.

Ashar Pervaiz··5 min read

Finance

How Much Savings Before You Pay Tax on Interest

There is no limit on the balance — the tax falls on the interest, so the threshold is your allowance divided by your rate. At 4% that is £25,000, and one pound past a second line costs £100.40.

Ashar Pervaiz··9 min read

Finance

£80,000 Loses Child Benefit. £118,000 Keeps It.

Two parents earning £59,000 each keep every penny of their child benefit. One parent earning £80,000 keeps none. The charge reads a single income, never the household's — and in that band a parent of four keeps 37p of every extra pound.

Ashar Pervaiz··9 min read

Finance

Your First Tax Bill Is 150% of the Tax You Owe

A £3,000 Self Assessment bill arrives as a £4,500 demand, and nothing has gone wrong. The January figure is last year settled and this year started early — here is the arithmetic, and why the second year costs a third of the first.

Ashar Pervaiz··11 min read

Daily Use

The Energy Price Cap Is Not a Cap on Your Bill

£1,723 is not the most you can be charged — it is one assumed household's arithmetic. Here is how the headline is built, and why using a fifth less energy takes only a sixth off the bill.

Ashar Pervaiz··9 min read

Daily Use

Shrinkflation and the True Unit Price

A pack that quietly loses a tenth of its contents costs 11.11% more per gram, not 10% — and a discount can be smaller than the shrink it follows.

Ashar Pervaiz··10 min read

Finance

Zakat on Gold: Why Karat Decides the Answer

The nisab threshold is a weight of pure gold, so alloyed jewellery has to weigh more to reach it — plus why two nisab figures circulate and where the schools differ.

Ashar Pervaiz··14 min read

Networking

Online Privacy & Security Basics

What an IP address does and does not reveal about you, what a DNS lookup exposes about a domain, and a five-minute check anyone can run.

Ashar Pervaiz··10 min read

Finance

Why Was My Bonus Taxed So Much?

Withholding is not tax owed. Why the flat supplemental rate makes the deduction look brutal, and when the difference comes back to you.

Ashar Pervaiz··15 min read

Finance

Marginal vs Effective Tax Rate

A raise that crosses a bracket never lowers your take-home pay. What each rate measures, and the three real situations people mistake for the myth.

Ashar Pervaiz··14 min read

Daily Use

How To Calculate Exact Age?

Three-column subtraction with borrowing, the six places it reliably goes wrong, and how a 29 February birthday is treated for legal ages.

Ashar Pervaiz··16 min read

Finance

How Much House Can I Afford?

The 28/36 rule, everything PITI actually includes, and the ownership costs that budgets routinely leave out until the first bill arrives.

Ashar Pervaiz··15 min read

Finance

2026 Tax Brackets, Deductions and What Changed

The 2026 federal brackets for all four filing statuses, the standard deduction, long-term capital gains rates, and worked examples at common income levels.

Ashar Pervaiz··18 min read

Math

Every Matrix Operation, Worked by Hand

Every operation the calculator performs, worked out step by step, with the shape rules that decide whether an operation is defined before you attempt it.

Ashar Pervaiz··19 min read

Daily Use

What Is Numbers on Your Tip?

What this site is, who builds it, how it is funded, and what happens to the numbers you type into it — which is nothing, because they never leave your browser.

Ashar Pervaiz··16 min read

Health

Healthy Body Fat Percentage by Age and Gender

What the standard percentage ranges actually mean, how they shift by decade, and why where the fat sits matters more than the headline number.

Ashar Pervaiz··9 min read

Finance

How Do I Calculate My Net Worth?

Assets minus liabilities is the easy part. Deciding what counts is not — where a car, a pension and a mortgage each belong, and why the trend matters more than the total.

Ashar Pervaiz··11 min read

Finance

What Is VAT? The Chain, the Reclaim and the Threshold

VAT is charged at every stage of production, but only the final consumer carries it. How the credit chain works, what you can and cannot reclaim, and when registration becomes compulsory.

Ashar Pervaiz··9 min read

What Each Group Covers

Finance (15)
Money questions where the arithmetic is straightforward and the definitions are not — what counts as an asset, what withholding actually is, and when buying beats renting.
Health (4)
Clinical and body-composition calculations, reviewed by a medical professional, written with the failure cases in front of them rather than buried at the end.
Daily Use (5)
Everyday arithmetic that turns out to have edge cases: calendar dates, leap years, and how this site itself works.
Math (2)
Operations worked by hand, so you can see what the calculator did rather than taking the output on trust.
Networking (1)
What the ordinary traces you leave online actually reveal, checked against the tools that read them.

Nothing here is gated, and none of the calculators these guides point to send your figures anywhere. Searching, filtering and sorting above happen entirely in your browser — no page reloads, no extra URLs, and every guide stays on this one page.