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Split Three Ways by Ratio

Add the ratio numbers to count the parts, divide the total by that to value one part, then multiply by each person’s number. At 3:2:1 there are six parts, so 600,000 splits into 300,000, 200,000 and 100,000.

Your numbers

A's share

300,000

B's share

200,000

C's share

100,000

Formula

A's share = Total × A ÷ (A + B + C)

Rounding can leave the three shares a unit or two off the total. Agree in advance who absorbs the remainder.

What to enter

InputDefaultAccepted range
TotalEvery item added together — check whether tax or tip is inside it.600,0000 and up
AThe first number of the ratio — the 2 in 2:3.30 and up
BThe second number of the ratio — the 3 in 2:3.20 and up
CThe third number of the ratio — the 1 in 3:2:1.10 and up

Step by step

FormulaA's share = Total × A ÷ (A + B + C)
With the default numbersA's share = 600,000 × 3 ÷ (3 + 2 + 1)
AnswerA's share = 300,000

Quick reference table

Results when only Total changes and everything else stays put.

TotalA's shareB's shareC's share
300,000150,000100,00050,000
450,000225,000150,00075,000
600,000300,000200,000100,000
900,000450,000300,000150,000
1,200,000600,000400,000200,000

What each result means

ResultAt default values
A's shareThe slice A gets once the ratio is applied.300,000
B's shareThe slice B gets once the ratio is applied.200,000
C's shareThe slice C gets once the ratio is applied.100,000

Common mistakes

Rounding can leave the three shares a unit or two off the total. Agree in advance who absorbs the remainder.

Glossary

Total
Every item added together — check whether tax or tip is inside it.
A
The first number of the ratio — the 2 in 2:3.
B
The second number of the ratio — the 3 in 2:3.
C
The third number of the ratio — the 1 in 3:2:1.
A's share
The slice A gets once the ratio is applied.
B's share
The slice B gets once the ratio is applied.
C's share
The slice C gets once the ratio is applied.

Frequently asked questions

Q. How is Split Three Ways by Ratio calculated?

A's share = Total × A ÷ (A + B + C) — Add the ratio numbers to count the parts, divide the total by that to value one part, then multiply by each person’s number. At 3:2:1 there are six parts, so 600,000 splits into 300,000, 200,000 and 100,000.

Q. Can you walk through an example?

With Total 600,000, A 3, B 2, C 1, the answer is A's share 300,000.

Q. What do I need to enter?

Enter Total, A, B, C. The result recalculates as you type, and an empty box counts as zero.

Q. How much does the answer move if I change a number?

Changing only Total moves the answer to Total 300,000 → A's share 150,000 and Total 1,200,000 → A's share 600,000. The table below lays out five steps.

Q. How are the numbers rounded?

Money is shown to the nearest whole unit, percentages to one decimal place and everything else to two. What you see is rounded; the calculation itself carries the unrounded value forward.

Q. Anything to watch out for?

Rounding can leave the three shares a unit or two off the total. Agree in advance who absorbs the remainder.

Related calculators

Tax rates and interest conventions differ by country and product — check your contract for real transactions.