Ratio & Proportion Calculator

Ratio & Proportion is evaluated from A, B and C. The calculation reports Simplified Ratio A:B, A / B and A as% of.

Results

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About the Ratio & Proportion Calculator

Ratio & Proportion is treated here as a quantitative relation between A, B and C and Simplified Ratio A:B, A / B, A as% of and D.

The calculator uses a multi formula configuration. Each reported value is read as a direct evaluation of the stored rules with the declared field formats and units.

Formula basis:
Proportion solve: D = B x C / A (cross-multiplication)
A as% of total: A / (A + B) x 100

Interpret the outputs in the order shown by the result fields. Optional inputs affect only the outputs that depend on those variables.

Formula & How It Works

The calculation applies the following relations exactly as recorded in the metadata:

Proportion solve: D = B x C / A (cross-multiplication)
A as% of total: A / (A + B) x 100

Each output field is produced by substituting the supplied inputs into the relevant relation and then applying the declared rounding or text format.

Worked Examples

Example 1: Recipe Scaling — Bread Dough

Inputs

a: 3 b: 5 c: 12
Simplified Ratio A:B: 3:5. A / B: 0.6. A as% of: 37.5%. D: 20

With A = 3, B = 5 and C = 12 as the stated inputs, the result is Simplified Ratio A:B = 3:5, A / B = 0.6 and A as% of = 37.5%. Each value corresponds to the declared output fields.

Example 2: Map Scale — Distance Calculation

Inputs

a: 1 b: 50000 c: 4.5
Simplified Ratio A:B: 1:50000. A / B: 0.00002. A as% of: 0%. D: 225,000

With A = 1, B = 50,000 and C = 4.5 as the stated inputs, the result is Simplified Ratio A:B = 1:50000, A / B = 0.00002 and A as% of = 0%. Each value corresponds to the declared output fields.

Example 3: Financial Ratio — Debt to Equity

Inputs

a: 240000 b: 160000
Simplified Ratio A:B: 3:2. A / B: 1.5. A as% of: 60%

With A = 240,000 and B = 160,000 as the stated inputs, the result is Simplified Ratio A:B = 3:2, A / B = 1.5 and A as% of = 60%. Each value corresponds to the declared output fields.

Example 4: Concrete Mix Ratio

Inputs

a: 1 b: 2 c: 50
Simplified Ratio A:B: 1:2. A / B: 0.5. A as% of: 33.33%. D: 100

With A = 1, B = 2 and C = 50 as the stated inputs, the result is Simplified Ratio A:B = 1:2, A / B = 0.5 and A as% of = 33.33%. Each value corresponds to the declared output fields.

Common Use Cases

  • Simplify a ratio to its lowest terms
  • Scale a recipe up or down proportionally
  • Solve for a missing value in a proportion
  • Convert a ratio to a percentage