Everyday arithmetic

Reverse percentage calculator

Divide the final amount by one plus the percentage change. Enter a negative rate for a decrease. A decrease of 100% cannot be reversed uniquely.

Your numbers

Use the units shown. Results update as you change valid inputs.

YOUR RESULT

Divide the final amount by one plus the percentage change. Enter a negative rate for a decrease. A decrease of 100% cannot be reversed uniquely.

THE NUMBERS, EXPLAINED

How to use this calculator.

Divide the final amount by one plus the percentage change. Enter a negative rate for a decrease. A decrease of 100% cannot be reversed uniquely.

Start with your inputs

Enter final value, change (%). Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.

InputExample value
Final value120
Change (%)20

A worked example

With the example inputs above, original value is 100. Change the inputs to explore your own scenario.

Putting the example numbers into the formula

Original value
(120) ÷ (1+(20) ÷ 100) = 100

All results for the example inputs above
ResultExample answer
Original value100

How this is calculated

Original value

a ÷ (1+b ÷ 100)

Symbols and units
a
Final value
b
Change (%)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions and limits

Divide the final amount by one plus the percentage change. Enter a negative rate for a decrease. A decrease of 100% cannot be reversed uniquely.

Calculations use the values you enter. Blank or invalid inputs show an error instead of silently substituting zero. Results are displayed to useful precision; calculations retain the underlying numeric precision.

Questions about this tool

What does the result tell me?

Original value. The result applies to the method and inputs described above. Check the units and assumptions before using it in a decision.

Why might another calculator differ?

Differences in units, rounding, timing or model definitions can produce different answers. Compare the input definitions and the method, rather than only the final number. For this tool: Divide the final amount by one plus the percentage change. Enter a negative rate for a decrease. A decrease of 100% cannot be reversed uniquely.

Are my inputs stored or sent to AI?

Calculations on this page happen in your browser. The separate AI question finder sends its submitted conversation to OpenAI; these calculator fields are not sent. Favourites and recent tool names are stored locally. A shared link contains the inputs you choose to include.

Further reading

OpenStax: Prealgebra ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

Review status

Software example and browser checks are recorded in our quality report. No external expert review is claimed. Created with coding assistance; calculations run as ordinary browser code.

Read the quality report →