Sumwise

Percentage Change from 50 to 30

From 50 to 30 is a 40% decrease

Change
-40%
Difference
-20
New ÷ old
0.6
Direction
decrease

Sumwise · Maintained by Theo Abbott (pen name) · automated checks · Data: exact arithmetic; unit definitions from NIST SP 811 · Updated · How the checks work

How to work it out

  1. Difference: 30 − 50 = -20
  2. Divide by the starting value: -20 ÷ 50 = -0.4
  3. Multiply by 100: -40%
  4. Check: Work forwards from the start: 50 × (1 − 0.4) = 50 × 0.6 = 30.

In a spreadsheet: =(30-50)/50*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 60% of the old one: for every 100 at the start there are now 60, so 40 out of every 100 have gone.

Sales: a price cut from $50 to $30 is a 40% discount.

Why the change back is different

A 40% fall followed by a 40% rise does not bring you back to 50: it gives 42. The second percentage is taken of 30, not of 50, so to undo this change you need 66.6667% instead.

Related results

Results for nearby numbers
50 to 28

From 50 to 28 is a 44% decrease

50 to 29

From 50 to 29 is a 42% decrease

50 to 31

From 50 to 31 is a 38% decrease

50 to 32

From 50 to 32 is a 36% decrease

50 to 40

From 50 to 40 is a 20% decrease

The other way round: Percentage change from 30 to 50. Percentage change is not symmetric: from 50 to 30 is -40%, but from 30 back to 50 is 66.6667%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 30 and 50: 50%. See Percentage difference between 30 and 50.

Practice

10 to 51
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From 10 to 51 is a 410% increase

62 to 49
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From 62 to 49 is a 20.9677% decrease

73 to 50
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From 73 to 50 is a 31.5068% decrease

2 to 25
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From 2 to 25 is a 1,150% increase

71 to 88
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From 71 to 88 is a 23.9437% increase

60 to 66
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From 60 to 66 is a 10% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 50 to 30

Going from 50 to 30 is a 40% decrease. Formula and steps.

Is going from 50 to 30 an increase or a decrease?

A decrease: the value fell by 20, which is 40% of the starting value.

What is the percentage change from 30 back to 50?

66.6667%. It is a different number because the starting value is now 30, not 50.