Sumwise

What is the Percentage Difference from 48 to 71?

From 48 to 71 is a 47.9167% increase

Change
47.9167%
Difference
23
New ÷ old
1.479167
Direction
increase

Sumwise · Data: exact arithmetic; unit definitions from NIST SP 811 · Updated · How we check it

How to work it out

  1. Difference: 71 − 48 = 23
  2. Divide by the starting value: 23 ÷ 48 = 0.479167
  3. Multiply by 100: 47.9167%
  4. Check: Work forwards from the start: 48 × (1 + 0.479167) = 48 × 1.479167 = 71.

In a spreadsheet: =(71-48)/48*100. Always divide by the starting value, not the new one. A rise from 40 to 50 is +25%, but the fall from 50 back to 40 is −20%.

What the result means

The new value is 1.4792 times the old one: for every 100 at the start there are now 147.9167.

Prices: an item whose price rises from $48 to $71 has gone up by 47.9167%.

Why the change back is different

A 47.9167% rise followed by a 47.9167% fall does not bring you back to 48: it gives 36.9792. The second percentage is taken of 71, not of 48, so to undo this change you need 32.3944% instead.

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The other way round: Percentage difference from 71 to 48

Practice

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Calculate another

How answers are calculated and checked: methodology.

Questions

What is the Percentage Difference from 48 to 71?

Going from 48 to 71 is a 47.9167% increase. Formula and steps.

Is going from 48 to 71 an increase or a decrease?

An increase: the value grew by 23, which is 47.9167% of the starting value.

What is the percentage change from 71 back to 48?

-32.3944%. It is a different number because the starting value is now 71, not 48.