Percentage change
Calculate relative percentage change, absolute change, multiplier and the reverse change. Distinguish percentage points from relative percent.
Choose the missing quantity before calculating. “What is 15% of 240?”, “36 is what percent of 240?” and “36 is 15% of what?” are related questions, but they solve for different quantities.
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15% of 240 is 36.
Treat percent as a count per hundred. Convert 15% to a multiplier before applying it to 240.
15% = 15/100 = 0.15
0.15 × 240 = 36
Check: 36 ÷ 240 × 100 = 15%The denominator for a share is the whole. If a quantity is already a percentage, changes to that percentage also need a baseline; use the percentage-change tool for that question.
A part divided by its whole gives the fractional share. Multiplying by one hundred expresses that same share as a percent. Rearrange the relationship to calculate an unknown part or an unknown whole.
A percent can exceed 100 when the part exceeds the comparison whole. Negative inputs are allowed for signed mathematical quantities; interpreting a negative whole as a population or a physical total requires care.
part = percent × whole / 100
percent = 100 × part / whole
whole = 100 × part / percentA whole of zero cannot be the denominator of a percentage, and a zero percent cannot determine a unique whole from a part. The tool rejects those divisions rather than inventing a result.
Use finite numbers with absolute value at most 1e100. Results use floating-point arithmetic and up to 12 significant displayed digits. Enter 15 for 15%, not 0.15, in a percent position.
Choose “A is what percent of B?”, enter A = 36 and B = 240. The result is 15%.
Choose the third question. If 36 is 15% of a whole, use 36 × 100 / 15 = 240.
Yes. For example, 300 is 150% of 200. This indicates a comparison quantity larger than the chosen whole.
These references explain the formulas or formats. The worked examples above were created for this tool and checked against independent calculations or format round trips. AI-assisted development does not imply a named human expert review.
Published 2026-10-23. Examples are illustrations, not measurements of a service or claims about search rankings.
Calculate relative percentage change, absolute change, multiplier and the reverse change. Distinguish percentage points from relative percent.
Simplify two positive decimal quantities to an exact whole-number ratio, then scale that ratio to a new first quantity.
Convert a finite decimal or scientific notation into a simplified fraction, with place-value and greatest-common-divisor steps.
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