Sumwise

Percentage Change from 30 to 50

From 30 to 50 is a 66.6667% increase

Change
66.6667%
Difference
20
New ÷ old
1.666667
Direction
increase

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: 50 − 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 × 1.666667 = 50.

In a spreadsheet: =(50-30)/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 1.6667 times the old one: for every 100 at the start there are now 166.6667.

Prices: an item whose price rises from $30 to $50 has gone up by 66.6667%.

Why the change back is different

A 66.6667% rise followed by a 66.6667% fall does not bring you back to 30: it gives 16.6667. The second percentage is taken of 50, not of 30, so to undo this change you need 40% instead.

Related results

Results for nearby numbers
30 to 48

From 30 to 48 is a 60% increase

30 to 49

From 30 to 49 is a 63.3333% increase

30 to 51

From 30 to 51 is a 70% increase

30 to 52

From 30 to 52 is a 73.3333% increase

30 to 60

From 30 to 60 is a 100% increase

The other way round: Percentage change from 50 to 30. Percentage change is not symmetric: from 30 to 50 is 66.6667%, but from 50 back to 30 is -40%, 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

6 to 32
Show answer

From 6 to 32 is a 433.3333% increase

72 to 9
Show answer

From 72 to 9 is a 87.5% decrease

18 to 29
Show answer

From 18 to 29 is a 61.1111% increase

71 to 29
Show answer

From 71 to 29 is a 59.1549% decrease

63 to 73
Show answer

From 63 to 73 is a 15.873% increase

33 to 84
Show answer

From 33 to 84 is a 154.5455% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 30 to 50

Going from 30 to 50 is a 66.6667% increase. Formula and steps.

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

An increase: the value grew by 20, which is 66.6667% of the starting value.

What is the percentage change from 50 back to 30?

-40%. It is a different number because the starting value is now 50, not 30.