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What is the Percentage Difference from 11 to 13?

From 11 to 13 is a 18.1818% increase

Step by step

  1. Difference: 13 − 11 = 2
  2. Divide by the starting value: 2 ÷ 11 = 0.181818
  3. Multiply by 100: 18.1818%

How the answer is worked out

Percentage change measures a difference against the value you started with. The value went from 11 to 13, a difference of 2. Compared with the starting value of 11, that difference is 18.1818%, so this is a 18.1818% increase.

The new value is 1.1818 times the old one: for every 100 at the start there are now 118.1818.

Why calculate this?

Percentage change compares a new value with an old one regardless of size: price rises, growth, discounts, score changes.

  • Prices: an item whose price rises from $11 to $13 has gone up by 18.1818%.
  • Pay: a wage that rises from $11 to $13 an hour is a 18.1818% pay rise.
  • Audiences: a channel that grows from 11 to 13 subscribers has grown by 18.1818%.

A quicker way

Find 1% of the starting value: 11 ÷ 100 = 0.11. The difference of 2 is 18.1818 of those steps.

Percentage change is not the same as percentage points. If a rate moves from 11% to 13%, it changes by 2 percentage points, but by 18.1818% relative to where it started.

Check the answer

Work forwards from the start: 11 × (1 + 0.181818) = 11 × 1.181818 = 13. Getting 13 shows the answer is right.

Rounding

Rounded to a whole number the change is 18, to one decimal place 18.2 and to two decimal places 18.18. Round only at the end: rounding halfway through a calculation can change the last digit.

The formula explained

percentage change = (new value − old value) ÷ old value × 100. A positive result is an increase and a negative result is a decrease. The old value is always the base, which is why the change from A to B and from B to A are different percentages.

Another worked example: 3 to 52

  1. Difference: 52 − 3 = 49
  2. Divide by the starting value: 49 ÷ 3 = 16.333333
  3. Multiply by 100: 1,633.3333%

Why the change back is different

A 18.1818% rise followed by a 18.1818% fall does not bring you back to 11: it gives 10.6364. The second percentage is taken of 13, not of 11, so to undo this change you need 15.3846% instead.

Other ways to ask this

The same calculation is often asked in other words. All of these have the answer above:

  • Percentage increase from 11 to 13
  • What percent more is 13 than 11?
  • 11 to 13 as a percent change
  • How much did 11 grow going to 13, in percent?
  • Relative change between 11 and 13

Terms used on this page

  • Old value: the starting amount, used as the base of the percentage.
  • New value: the amount after the change.
  • Increase: a positive change: the new value is bigger.
  • Percentage point: the plain difference between two rates, not a relative change.

The answer in other forms

Change18.1818%
Difference2
New ÷ old1.181818
Directionincrease

Related results

11 to 12

From 11 to 12 is a 9.0909% increase

11 to 14

From 11 to 14 is a 27.2727% increase

11 to 15

From 11 to 15 is a 36.3636% increase

11 to 23

From 11 to 23 is a 109.0909% increase

The other way round: Percentage difference from 13 to 11

Doing it in a spreadsheet

In Excel, Google Sheets or Numbers type =(13-11)/11*100 into any cell. Replace the numbers with cell references (for example A1 and B1) to reuse the formula for a whole column.

Common mistakes

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%.

Practice examples

3 to 52
Show answer

From 3 to 52 is a 1,633.3333% increase

36 to 12
Show answer

From 36 to 12 is a 66.6667% decrease

92 to 63
Show answer

From 92 to 63 is a 31.5217% decrease

98 to 99
Show answer

From 98 to 99 is a 1.0204% increase

91 to 80
Show answer

From 91 to 80 is a 12.0879% decrease

39 to 53
Show answer

From 39 to 53 is a 35.8974% increase

56 to 78
Show answer

From 56 to 78 is a 39.2857% increase

55 to 42
Show answer

From 55 to 42 is a 23.6364% decrease

32 to 56
Show answer

From 32 to 56 is a 75% increase

39 to 7
Show answer

From 39 to 7 is a 82.0513% decrease

Calculate another

How this answer was calculated

The result is worked out from the numbers in this page's address when the page is opened, using exact arithmetic wherever possible and rounding only for display. Nothing is copied from a printed table. If you think an answer is wrong, please tell us through the contact page and we will check it.

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Questions

What is the Percentage Difference from 11 to 13?

Going from 11 to 13 is a 18.1818% increase. Formula and steps.

Is going from 11 to 13 an increase or a decrease?

An increase: the value grew by 2, which is 18.1818% of the starting value.

What is the percentage change from 13 back to 11?

-15.3846%. It is a different number because the starting value is now 13, not 11.

What is the percentage difference between 11 and 13?

When neither value is the starting point, use the average as the base: 2 ÷ 12 × 100 = 16.6667%. That is the symmetric percentage difference.

How do I calculate percentage change in Excel or Google Sheets?

Put the old value in A1 and the new value in B1, then type =(B1-A1)/A1 and format the cell as a percentage. For these numbers it shows 18.1818%.