How can two quantities be simplified into a ratio and compared as a percentage?
A ratio preserves the relative size of two quantities. Simplification divides both sides by a common factor without changing that relationship.
Preserving a relationship while reducing its terms
The two entered values are divided by their greatest common divisor to produce the simplified ratio. Decimal form divides the first value by the second.
The first value's share divides it by the sum of both values and expresses the result as a percentage. Zero and negative inputs can make some ratio interpretations undefined even though the arithmetic is still displayed where possible.
Dividing both sides by a common factor
Divide both values by their greatest common divisor.Decimal = A ÷ BShare of A = A ÷ (A + B) × 100One pair expressed three ways
The default values are reduced to their simplest integer relationship where possible, while supporting outputs show the decimal or percentage comparison.
Why ratio order matters
A ratio such as 2:3 is directional: the first quantity is two parts for every three of the second. Reversing the order answers a different comparison.
Convert units before simplifying
Ratios require compatible units. Convert metres and centimetres, or hours and minutes, to one common unit before simplifying.
- Both quantities are expressed in compatible units.
- The second value must be non-zero for division-based comparisons.
- Decimal inputs may require scaling before an integer ratio can be simplified.
Calculations related to ratio
The following tools examine neighbouring parts of the same calculation without changing the inputs or assumptions used above.
Quick answers
Frequently asked questions
How is a ratio simplified?
Both values are divided by their greatest common divisor.
What does a ratio written as a decimal mean?
It is the first value divided by the second value.
How do I find the first value's percentage share of a ratio?
Divide the first value by the sum of both values and multiply by 100.
Educational content only. This guide is not financial advice.