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What is the Percentage Difference from 18 to 22?

From 18 to 22 is a 22.2222% increase

Step by step

  1. Difference: 22 − 18 = 4
  2. Divide by the starting value: 4 ÷ 18 = 0.222222
  3. Multiply by 100: 22.2222%

How the answer is worked out

Percentage change measures a difference against the value you started with. The value went from 18 to 22, a difference of 4. Compared with the starting value of 18, that difference is 22.2222%, so this is a 22.2222% increase.

The new value is 1.2222 times the old one: for every 100 at the start there are now 122.2222.

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 $18 to $22 has gone up by 22.2222%.
  • Pay: a wage that rises from $18 to $22 an hour is a 22.2222% pay rise.
  • Audiences: a channel that grows from 18 to 22 subscribers has grown by 22.2222%.

A quicker way

Find 1% of the starting value: 18 ÷ 100 = 0.18. The difference of 4 is 22.2222 of those steps.

Percentage change is not the same as percentage points. If a rate moves from 18% to 22%, it changes by 4 percentage points, but by 22.2222% relative to where it started.

Check the answer

Work forwards from the start: 18 × (1 + 0.222222) = 18 × 1.222222 = 22. Getting 22 shows the answer is right.

Rounding

Rounded to a whole number the change is 22, to one decimal place 22.2 and to two decimal places 22.22. 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: 4 to 2

  1. Difference: 2 − 4 = -2
  2. Divide by the starting value: -2 ÷ 4 = -0.5
  3. Multiply by 100: -50%

Why the change back is different

A 22.2222% rise followed by a 22.2222% fall does not bring you back to 18: it gives 17.1111. The second percentage is taken of 22, not of 18, so to undo this change you need 18.1818% 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 18 to 22
  • What percent more is 22 than 18?
  • 18 to 22 as a percent change
  • How much did 18 grow going to 22, in percent?
  • Relative change between 18 and 22

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

Change22.2222%
Difference4
New ÷ old1.222222
Directionincrease

Related results

18 to 20

From 18 to 20 is a 11.1111% increase

18 to 21

From 18 to 21 is a 16.6667% increase

18 to 23

From 18 to 23 is a 27.7778% increase

18 to 24

From 18 to 24 is a 33.3333% increase

18 to 32

From 18 to 32 is a 77.7778% increase

The other way round: Percentage difference from 22 to 18

Doing it in a spreadsheet

In Excel, Google Sheets or Numbers type =(22-18)/18*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

4 to 2
Show answer

From 4 to 2 is a 50% decrease

80 to 6
Show answer

From 80 to 6 is a 92.5% decrease

45 to 19
Show answer

From 45 to 19 is a 57.7778% decrease

34 to 10
Show answer

From 34 to 10 is a 70.5882% decrease

59 to 25
Show answer

From 59 to 25 is a 57.6271% decrease

25 to 48
Show answer

From 25 to 48 is a 92% increase

53 to 67
Show answer

From 53 to 67 is a 26.4151% increase

80 to 57
Show answer

From 80 to 57 is a 28.75% decrease

13 to 78
Show answer

From 13 to 78 is a 500% increase

37 to 20
Show answer

From 37 to 20 is a 45.9459% 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 18 to 22?

Going from 18 to 22 is a 22.2222% increase. Formula and steps.

Is going from 18 to 22 an increase or a decrease?

An increase: the value grew by 4, which is 22.2222% of the starting value.

What is the percentage change from 22 back to 18?

-18.1818%. It is a different number because the starting value is now 22, not 18.

What is the percentage difference between 18 and 22?

When neither value is the starting point, use the average as the base: 4 ÷ 20 × 100 = 20%. 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 22.2222%.