Sumwise

Percentage Change from 30 to 10

From 30 to 10 is a 66.6667% decrease

Change
-66.6667%
Difference
-20
New ÷ old
0.333333
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: 10 − 30 = -20
  2. Divide by the starting value: -20 ÷ 30 = -0.666667
  3. Multiply by 100: -66.6667%
  4. Check: Work forwards from the start: 30 × (1 − 0.666667) = 30 × 0.333333 = 10.

In a spreadsheet: =(10-30)/30*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 33.3333% of the old one: for every 100 at the start there are now 33.3333, so 66.6667 out of every 100 have gone.

Sales: a price cut from $30 to $10 is a 66.6667% discount.

Why the change back is different

A 66.6667% fall followed by a 66.6667% rise does not bring you back to 30: it gives 16.6667. The second percentage is taken of 10, not of 30, so to undo this change you need 200% instead.

Related results

Results for nearby numbers
30 to 8

From 30 to 8 is a 73.3333% decrease

30 to 9

From 30 to 9 is a 70% decrease

30 to 11

From 30 to 11 is a 63.3333% decrease

30 to 12

From 30 to 12 is a 60% decrease

30 to 20

From 30 to 20 is a 33.3333% decrease

The other way round: Percentage change from 10 to 30. Percentage change is not symmetric: from 30 to 10 is -66.6667%, but from 10 back to 30 is 200%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 10 and 30: 100%. See Percentage difference between 10 and 30.

Practice

6 to 68
Show answer

From 6 to 68 is a 1,033.3333% increase

44 to 53
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From 44 to 53 is a 20.4545% increase

14 to 22
Show answer

From 14 to 22 is a 57.1429% increase

96 to 73
Show answer

From 96 to 73 is a 23.9583% decrease

93 to 50
Show answer

From 93 to 50 is a 46.2366% decrease

27 to 33
Show answer

From 27 to 33 is a 22.2222% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 30 to 10

Going from 30 to 10 is a 66.6667% decrease. Formula and steps.

Is going from 30 to 10 an increase or a decrease?

A decrease: the value fell by 20, which is 66.6667% of the starting value.

What is the percentage change from 10 back to 30?

200%. It is a different number because the starting value is now 10, not 30.