Percentage Calculator (All 3 Modes)

About the Percentage Calculator

Percentages answer three different questions that people constantly mix up: how much is 15% of a number, what share one number is of another, and how much a value grew or shrank. Most calculators do only one of these. This percentage calculator handles all three, shows the working line so you can verify it, and runs instantly in your browser — useful for students checking exam marks, shoppers comparing discounts, and small businesses tracking price changes.

In Pakistan the everyday uses are endless: a 20% discount on lawn suits before Eid, sales tax added on a restaurant bill, the percentage a student scored out of 1100 in matric, profit margins in a shop in Kasur bazaar, or how much a dollar price rose this year. Instead of remembering which formula applies where, choose the question type, enter two numbers, and the answer appears with the exact steps shown.

The tool also guards against the classic mistakes — dividing in the wrong direction, forgetting that a 20% rise followed by a 20% fall does not return to the start, and confusing percentage points with percent. The result panel labels everything clearly, and the worked examples below show the arithmetic written out longhand so you can re-do it on paper if you want.

How to Use the Percentage Calculator

Follow these simple steps — the whole process takes under a minute:

1. Pick the question type — 'percent of number' (e.g. 15% of 800), 'what percent' (e.g. 950 is what % of 1100), or 'percentage change' (e.g. from 2,500 to 2,900).
2. Enter the two values — the labels change with the mode, so you always know which number goes where.
3. Press Calculate — the answer appears immediately with the formula line written underneath.
4. Check the steps — the working shows division by 100 and the order of operations, so students can copy the method, not just the answer.
5. Switch modes to cross-check — verify a discount: 20% off 4,500, then 'what percent' is 3,600 of 4,500 (80%) — two views of the same deal.

The Formula & Method Behind the Percentage Calculator

Mode 1 — percentage of a number: result = percentage ÷ 100 × value. Finding 15% of 800 is 15 ÷ 100 × 800 = 0.15 × 800 = 120. This is the discount, tax and commission formula — the percentage sign literally means 'divided by 100'.

Mode 2 — one number as a percentage of another: result = part ÷ whole × 100. If a student scored 950 out of 1100, the percentage is 950 ÷ 1100 × 100 = 86.36%. The order matters — the part you achieved goes on top and the total possible goes underneath — and swapping them is the most common exam mistake.

Mode 3 — percentage change: result = (new − old) ÷ old × 100. A price moving from 2,500 to 2,900 changes by (2,900 − 2,500) ÷ 2,500 × 100 = +16% — an increase. A negative result means a decrease. Note the base is always the OLD value: a 20% increase followed by a 20% decrease lands at 96% of the start, because the second move works on a different base.

Percentage Skills That Pay Off in Daily Life

Marks and merit. Pakistani boards report marks out of totals like 1100, 1200 or 1050. Convert with 'what percent': 1012 out of 1200 is 84.33%. For merit lists and admissions, the marks percentage and MDCAT aggregate calculators on this site apply the board totals and official PMDC weightings for you.

Discounts and sales tax. A "30% off" tag on Rs. 2,000 saves Rs. 600, but check whether sales tax is added after the discount — in Pakistan GST is charged on the discounted price for most goods, so the final bill is (price − discount) plus tax. Two quick percentage calculations, or one pass through the modes above.

Percentage points are not percent. If a bank's profit rate moves from 10% to 12%, that is a rise of 2 percentage points — but a 20% relative increase. News headlines blur the two; the change mode here always reports relative change against the old value.

Salary raises work both ways. A 15% raise on Rs. 120,000 gives 120,000 × 1.15 = Rs. 138,000. But restoring a pay cut takes a bigger percentage: after a 10% cut to 108,000, getting back to 120,000 needs an 11.1% rise. Use 'percentage change' mode for both directions and read the base carefully.