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Number Comparison Calculator

Work out number comparison instantly with clear inputs, formula shown and shareable results.

About Number Comparison Calculator

Comparison reports the absolute difference, the ratio of larger to smaller, and the gap expressed as a percentage of the second number. Difference answers 'how many more', ratio answers 'how many times as many', and children need to learn that these are different questions.

Formulas

Difference and ratio

difference = |a - b|; ratio = max(a, b) / min(a, b)

Relative gap

percent difference = |a - b| / |b| x 100

Worked example

With the default values below, Number Comparison Calculator returns Difference of 27.000. Change any input above and every figure here is recalculated in your browser.

Inputs used

First number
45
Second number
72

Results

Difference
27.000
In words
45 is less than 72
Larger as a multiple of smaller
1.600
Difference as % of the second number
37.50%

Step by step

  1. 1Values used
  2. 2Difference and ratio
  3. 3Relative gap
  4. 4Difference= 27.000
  5. 5In words= 45 is less than 72
  6. 6Larger as a multiple of smaller= 1.600
  7. 7Difference as % of the second number= 37.50

Assumptions and limits

  • The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to 3 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

How is the Number Comparison figure worked out?

difference = |a - b|; ratio = max(a, b) / min(a, b). Comparison reports the absolute difference, the ratio of larger to smaller, and the gap expressed as a percentage of the second number.

Why does this matter?

Difference answers 'how many more', ratio answers 'how many times as many', and children need to learn that these are different questions.

What do I need to enter?

Enter first number, second number. The defaults shown are a realistic worked example — swap in your own figures to get a result you can use.

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