Sumwise

What is the Percentage Difference from 20 to 32?

From 20 to 32 is a 60% increase

Change
60%
Difference
12
New ÷ old
1.6
Direction
increase

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

How to work it out

  1. Difference: 32 − 20 = 12
  2. Divide by the starting value: 12 ÷ 20 = 0.6
  3. Multiply by 100: 60%
  4. Check: Work forwards from the start: 20 × (1 + 0.6) = 20 × 1.6 = 32.

In a spreadsheet: =(32-20)/20*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 1.6 times the old one: for every 100 at the start there are now 160.

Prices: an item whose price rises from $20 to $32 has gone up by 60%.

Why the change back is different

A 60% rise followed by a 60% fall does not bring you back to 20: it gives 12.8. The second percentage is taken of 32, not of 20, so to undo this change you need 37.5% instead.

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The other way round: Percentage difference from 32 to 20

Practice

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Calculate another

How answers are calculated and checked: methodology.

Questions

What is the Percentage Difference from 20 to 32?

Going from 20 to 32 is a 60% increase. Formula and steps.

Is going from 20 to 32 an increase or a decrease?

An increase: the value grew by 12, which is 60% of the starting value.

What is the percentage change from 32 back to 20?

-37.5%. It is a different number because the starting value is now 32, not 20.