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💰 Financial & Currency

Split a Bill Three Ways and the Parts Add Up to a Penny Less Than the Bill

100 divided by three is 33.33 each, which totals 99.99. This hands out the leftover pennies so the parts match the bill exactly.

%
%

Tip amount

Total to pay

Each, roughly

Sum of the parts

must equal the total

Who pays what


Uneven split — one line per person, name = amount they ordered

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How the calculation works

A bill of 100.00, split three ways round each share 33.33 33.33 33.33 99.99 allocate the remainder 33.34 33.33 33.33 100.00 One person pays a penny more. That is unavoidable, and it is better than being a penny short.

How to Use This Tool

Enter the bill and the number of people. The shares are calculated so they add up to the total exactly, which is not what dividing and rounding gives you.

Why the parts do not add up

Money comes in whole pennies. Divide 100 by three and each share is 33.333…, which rounds to 33.33, and three of those is 99.99. The missing penny does not disappear — it was never allocated, because rounding each share independently loses a fraction from each one.

The fix is to work in pennies from the start: divide the whole amount into whole units, then hand out the remainder one penny at a time. Somebody pays a penny more than somebody else, which is unavoidable and is far better than the group being short when the card is presented.

Tip before or after tax

Both are defensible and the difference is small but real. Tipping on the pre-tax amount means you are tipping on the food and drink; tipping on the total means you are also tipping on the tax, which nobody in the restaurant received.

The gap is the tax rate multiplied by the tip rate. At 8% tax and a 20% tip that is 1.6% of the bill — on a hundred, about a pound and sixty. Small enough that it is not worth an argument, and large enough that people have them anyway. This shows both so nobody has to guess which was used.

100 bill, 8% tax, 20% tip tip on 100 (pre-tax) 20.00 tip on 108 (with tax) 21.60 a difference of 1.60 Neither is wrong. Say which one you used and the argument does not start.
The gap is always the tax rate times the tip rate, whatever the bill.

Uneven splits

The lower box handles the more honest version: everyone pays for what they ordered, with tip and tax distributed in proportion. Someone who had a starter and two drinks pays more of the tip than someone who had a salad, which is usually what people mean by "fair" even when they say "just split it".

The same rounding rule applies, so the individual amounts still sum to the total exactly.

Rounding up

The round-up option gives every person a whole amount, which is easier to transfer and easier to remember. The excess is shown separately, since it goes to the tip rather than vanishing — rounding five people up to the nearest whole unit typically adds a couple to the tip, which is usually intended and should not be silent.

A note on splitting evenly

An even split is simpler and usually fine. It stops being fine when the difference is large — one person on tap water and another on three cocktails — and the person who ordered less rarely says anything. If you are organising, offering the itemised option unprompted costs nothing and is noticed.

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Frequently Asked Questions

Why don't the individual shares add up to the bill?
Because each share was rounded independently and money comes in whole pennies. 100 divided by three is 33.33 each, which totals 99.99 — the missing penny was never allocated. Working in pennies and handing out the remainder fixes it.
Should I tip on the pre-tax or post-tax amount?
Both are defensible. Tipping pre-tax means tipping on the food and drink; tipping on the total also tips on the tax, which nobody in the restaurant received. The difference is the tax rate times the tip rate — about 1.6% of the bill at 8% tax and a 20% tip.
How do I split a bill fairly when people ordered differently?
Enter what each person ordered and let tip and tax be distributed in proportion. Someone who had three courses then pays more of the tip than someone who had a salad, which is usually what people mean by fair even when they say to split it evenly.
Who pays the extra penny?
Somebody has to, and any rule for choosing is a convention — this allocates leftover pennies in order. The alternative is the group being a penny short at the till, which is worse. On larger groups more than one person pays the extra unit.
Does rounding each person up change the tip?
Yes, and it is shown separately rather than hidden. Rounding five people up to whole units typically adds a couple to the total, all of which goes to the tip. That is usually the intent, but it should be visible rather than silent.
Is it rude to ask for an itemised split?
Not remotely, and if you are organising it is worth offering unprompted. An even split quietly costs the person who had tap water and a salad, and they are the least likely to raise it.

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