Sumwise

Percentage Change from 70 to 30

From 70 to 30 is a 57.1429% decrease

Change
-57.1429%
Difference
-40
New ÷ old
0.428571
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 − 70 = -40
  2. Divide by the starting value: -40 ÷ 70 = -0.571429
  3. Multiply by 100: -57.1429%
  4. Check: Work forwards from the start: 70 × (1 − 0.571429) = 70 × 0.428571 = 30.

In a spreadsheet: =(30-70)/70*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 42.8571% of the old one: for every 100 at the start there are now 42.8571, so 57.1429 out of every 100 have gone.

Sales: a price cut from $70 to $30 is a 57.1429% discount.

Why the change back is different

A 57.1429% fall followed by a 57.1429% rise does not bring you back to 70: it gives 47.1429. The second percentage is taken of 30, not of 70, so to undo this change you need 133.3333% instead.

Related results

Results for nearby numbers
70 to 28

From 70 to 28 is a 60% decrease

70 to 29

From 70 to 29 is a 58.5714% decrease

70 to 31

From 70 to 31 is a 55.7143% decrease

70 to 32

From 70 to 32 is a 54.2857% decrease

70 to 40

From 70 to 40 is a 42.8571% decrease

The other way round: Percentage change from 30 to 70. Percentage change is not symmetric: from 70 to 30 is -57.1429%, but from 30 back to 70 is 133.3333%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 30 and 70: 80%. See Percentage difference between 30 and 70.

Practice

14 to 16
Show answer

From 14 to 16 is a 14.2857% increase

64 to 5
Show answer

From 64 to 5 is a 92.1875% decrease

74 to 27
Show answer

From 74 to 27 is a 63.5135% decrease

13 to 71
Show answer

From 13 to 71 is a 446.1538% increase

59 to 34
Show answer

From 59 to 34 is a 42.3729% decrease

41 to 88
Show answer

From 41 to 88 is a 114.6341% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 70 to 30

Going from 70 to 30 is a 57.1429% decrease. Formula and steps.

Is going from 70 to 30 an increase or a decrease?

A decrease: the value fell by 40, which is 57.1429% of the starting value.

What is the percentage change from 30 back to 70?

133.3333%. It is a different number because the starting value is now 30, not 70.