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What is the Percentage Difference from 21 to 22?

From 21 to 22 is a 4.7619% increase

Step by step

  1. Difference: 22 − 21 = 1
  2. Divide by the starting value: 1 ÷ 21 = 0.047619
  3. Multiply by 100: 4.7619%

How the answer is worked out

Percentage change measures a difference against the value you started with. The value went from 21 to 22, a difference of 1. Compared with the starting value of 21, that difference is 4.7619%, so this is a 4.7619% increase.

The new value is 1.0476 times the old one: for every 100 at the start there are now 104.7619.

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 $21 to $22 has gone up by 4.7619%.
  • Pay: a wage that rises from $21 to $22 an hour is a 4.7619% pay rise.
  • Audiences: a channel that grows from 21 to 22 subscribers has grown by 4.7619%.

A quicker way

Find 1% of the starting value: 21 ÷ 100 = 0.21. The difference of 1 is 4.7619 of those steps.

Percentage change is not the same as percentage points. If a rate moves from 21% to 22%, it changes by 1 percentage points, but by 4.7619% relative to where it started.

Check the answer

Work forwards from the start: 21 × (1 + 0.047619) = 21 × 1.047619 = 22. Getting 22 shows the answer is right.

Rounding

Rounded to a whole number the change is 5, to one decimal place 4.8 and to two decimal places 4.76. 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: 5 to 57

  1. Difference: 57 − 5 = 52
  2. Divide by the starting value: 52 ÷ 5 = 10.4
  3. Multiply by 100: 1,040%

Why the change back is different

A 4.7619% rise followed by a 4.7619% fall does not bring you back to 21: it gives 20.9524. The second percentage is taken of 22, not of 21, so to undo this change you need 4.5455% 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 21 to 22
  • What percent more is 22 than 21?
  • 21 to 22 as a percent change
  • How much did 21 grow going to 22, in percent?
  • Relative change between 21 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

Change4.7619%
Difference1
New ÷ old1.047619
Directionincrease

Related results

21 to 20

From 21 to 20 is a 4.7619% decrease

21 to 23

From 21 to 23 is a 9.5238% increase

21 to 24

From 21 to 24 is a 14.2857% increase

21 to 32

From 21 to 32 is a 52.381% increase

The other way round: Percentage difference from 22 to 21

Doing it in a spreadsheet

In Excel, Google Sheets or Numbers type =(22-21)/21*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

5 to 57
Show answer

From 5 to 57 is a 1,040% increase

80 to 68
Show answer

From 80 to 68 is a 15% decrease

80 to 81
Show answer

From 80 to 81 is a 1.25% increase

72 to 37
Show answer

From 72 to 37 is a 48.6111% decrease

23 to 89
Show answer

From 23 to 89 is a 286.9565% increase

78 to 38
Show answer

From 78 to 38 is a 51.2821% decrease

44 to 76
Show answer

From 44 to 76 is a 72.7273% increase

52 to 71
Show answer

From 52 to 71 is a 36.5385% increase

49 to 15
Show answer

From 49 to 15 is a 69.3878% decrease

38 to 42
Show answer

From 38 to 42 is a 10.5263% increase

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 21 to 22?

Going from 21 to 22 is a 4.7619% increase. Formula and steps.

Is going from 21 to 22 an increase or a decrease?

An increase: the value grew by 1, which is 4.7619% of the starting value.

What is the percentage change from 22 back to 21?

-4.5455%. It is a different number because the starting value is now 22, not 21.

What is the percentage difference between 21 and 22?

When neither value is the starting point, use the average as the base: 1 ÷ 21.5 × 100 = 4.6512%. 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 4.7619%.