When should I use a ratio instead of a percentage?
A ratio compares quantities directly, while a percentage expresses a part relative to a base of 100. The most useful form depends on what you need to compare.
This collection covers the arithmetic relationships people search for most often: percentages, ratios, proportions, averages and common number conversions. Each tool exposes the relationship behind the answer instead of returning a number without context.
Start with the first question, then move through the connected calculations. You can jump in anywhere, but the sequence keeps the task coherent.
Find X% of any number.
↗ 02 Next calculation Percentage ChangeMeasure percentage increase or decrease.
↗ 03 Next calculation AverageFind the average of several numbers.
↗ 04 Next calculation RatioReduce a ratio to simplest form.
↗ 05 Next calculation ProportionSolve for x in a proportion.
↗ 06 Next calculation Fraction to DecimalConvert numerator and denominator to decimal.
↗Each tool is free, works without an account and links to its formula, assumptions and related calculators.
Find X% of any number.
Measure percentage increase or decrease.
Find the average of several numbers.
Reduce a ratio to simplest form.
Solve for x in a proportion.
Convert numerator and denominator to decimal.
Turn a decimal into percent.
Turn a percent into a decimal.
Find the GCD of two integers.
Find the LCM of two integers.
Calculate a square root.
Calculate powers and exponents.
NumLuma groups tools around real tasks so you can move from one calculation to the next without starting your research over.
A ratio compares quantities directly, while a percentage expresses a part relative to a base of 100. The most useful form depends on what you need to compare.
Rounding intermediate values can compound small errors. Keep more precision during the calculation and round the final result to the level you need.