Divide an amount in a ratio calculator

Type the whole and two ratio parts. 100 in 3 : 2 splits into 60 and 40, five parts of 20. 90 in 1 : 2 is 30 and 60. Parts are non-negative and not both zero.

The amount can be any number - dollars, kilograms, or points. Both ratio parts must be non-negative and cannot both be zero.

Input

Result

Enter the total and ratio a : b.

How does it work?

Treat the whole as a sum of (a + b) equal parts. The first side gets a of those parts, the second gets b. Formulas: share 1 = whole × a ÷ (a + b), share 2 = whole × b ÷ (a + b). 100 × 3 ÷ 5 = 60, 100 × 2 ÷ 5 = 40. The shares add back to 100.

90 in 1 : 2: three parts, one is 30, two are 60. The whole can be money, mass, or points. The ratio parts must be non-negative and cannot both be zero.

Fields: Amount to split, First ratio part, Second ratio part. Type 100, 3, and 2, click Calculate. A comma and a period both parse. Check that 60 + 40 = 100.

Reducing 12 : 8 to 3 : 2 lives on ratio of two numbers. The rule of three hunts a missing x; it does not slice one whole. GCD(3, 2) = 1, so 3 : 2 is already short.

Without the whole or both parts, nothing computes. 100, 3, and 2 still give 60 and 40 no matter the header currency.

200 in 1 : 1 is 100 and 100. 50 in 2 : 3 is 20 and 30. 120 in 5 : 1 is 100 and 20.

Formula

share 1 = total × a ÷ (a + b)

share 2 = total × b ÷ (a + b)

How to use

  1. Type the amount to split, for example 100.
  2. Type the first ratio part, for example 3.
  3. Type the second ratio part, for example 2.
  4. Click Calculate. 100 in 3 : 2 gives 60 and 40. 90 in 1 : 2 gives 30 and 60.
  5. Reducing 12 : 8 lives on ratio of two numbers. A fourth unknown lives on the rule of three.

100 in 3 : 2 is 60 and 40

Split in a ratio: 100 in 3 : 2 is 60 and 40. 90 in 1 : 2 is 30 and 60. 120 in 5 : 1 is 100 and 20.

3 : 2
The ratio. Five parts. From 100 you get 60 and 40. From 90 in 1 : 2 you get 30 and 60.
whole
The amount to slice. 100, 90 or 120. The shares add back to this number.

Examples

Example 1

  • Total: 100
  • Ratio: 3 : 2

60 · 40

Five parts of 20 - three for the first side, two for the second.

Example 2

  • Total: 90
  • Ratio: 1 : 2

30 · 60

One third and two thirds of the whole.

Example 3

  • Total: 50
  • Ratio: 4 : 1

40 · 10

Four fifths and one fifth - e.g. splitting a prize.

Example 4

  • Total: 120.5
  • Ratio: 2 : 3

48.2 · 72.3

The total need not be a whole number - the ratio of parts matters.

Example 5

  • Amount to split: 90
  • First ratio part: 1
  • Second ratio part: 1

45 · 45

Does a 1:1 split of 90 give 45 and 45? Yes. Two equal parts of 45.

Related calculators

Frequently asked questions

How do I split 100 in the ratio 3 : 2?

60 and 40. Five parts of 20: three for the first side, two for the second.

How do I split 90 in 1 : 2?

30 and 60. One third and two thirds of the whole. Three parts of 30.

What is the formula?

Share 1 = whole × a ÷ (a + b). Share 2 = whole × b ÷ (a + b). The sum returns to the whole.

Must 60 + 40 equal 100?

Yes. If the sum drifts, check the a and b you typed. The calculator keeps the parts adding to the whole.

What are 200 in 1 : 1 and 50 in 2 : 3?

200 in 1 : 1 is 100 and 100. 50 in 2 : 3 is 20 and 30. Five parts of 10 on the second split.

Can the parts be zero?

One can be 0, both at once cannot. 100 in 1 : 0 gives the whole to the first side.

How is this different from reducing 12 : 8?

There you get 3 : 2. Here you already have 3 : 2 and you slice 100 into 60 and 40.

Must the whole be an integer?

No. 10.5 in 1 : 2 still splits. Keep the ratio parts non-negative.

What is 120 in 5 : 1?

100 and 20. Six parts of 20: five for the first side, one for the second.

Is 15% of 200 this split?

No. 15% of 200 = 30 lives on percentage of a number. Here you slice a whole in a given ratio.

Knowledge sources

The calculator computes the same formula as the definition below.

Page updated in 2026.