Quick guide
How to use this calculator
- Choose the quantity to solve.
- Enter the other two known quantities.
- For a count result, check that the implied result is a positive whole number.
Calculation method
Use one three-part identity
Sum equals average multiplied by count. The calculator rearranges this identity exactly and classifies impossible or indeterminate count cases.
Worked example
Recover a total
An average of 12 across 8 values corresponds to a sum of 96.
sum = average × count = 12×8 = 96
Supported inputs
Precision and limits
Count
Entered or solved counts must be positive whole numbers no greater than 1,000,000.
Exactness
Finite decimals are evaluated as exact rational values.