Calculator of Alexandria

Tip and bill split calculator

Work out the tip and split a restaurant bill evenly between any number of people.

Each person pays
Tip
Total with tip

Formula

each=B (1+p/100)k\text{each} = \frac{B\,(1 + p/100)}{k}
How it's derived

The formula

each=B(1+p100)k\text{each} = \frac{B\left(1 + \frac{p}{100}\right)}{k}

BB is the bill, pp the tip percentage and kk the number of people.

Where it comes from

A tip of pp percent is p/100p/100 of the bill:

tip=B⋅p100\text{tip} = B \cdot \frac{p}{100}

The total is the bill plus the tip. Factoring out BB shows the shortcut: multiply the bill by 1+p/1001 + p/100, so 1.18 for an 18% tip:

total=B+B⋅p100=B(1+p100)\text{total} = B + B \cdot \frac{p}{100} = B\left(1 + \frac{p}{100}\right)

Splitting evenly divides the total by the number of people.

Worked example

An $86.40 bill, 18% tip, three people:

tip=86.40×0.18=15.55,each=86.40×1.183=33.98\text{tip} = 86.40 \times 0.18 = 15.55, \qquad \text{each} = \frac{86.40 \times 1.18}{3} = 33.98

Mental shortcuts

  • 10%: move the decimal point one place left, so $86.40 becomes $8.64.
  • 20%: double that, $17.28.
  • 15%: 10% plus half of it, $8.64 + $4.32 = $12.96.

Watch out for

  • Tip on the pre-tax amount if that’s the custom where you are. Enter the bill before tax.

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