Sumwise

What is the Percentage Difference from 21 to 31?

From 21 to 31 is a 47.619% increase

Step by step

  1. Difference: 31 − 21 = 10
  2. Divide by the starting value: 10 ÷ 21 = 0.47619
  3. Multiply by 100: 47.619%

How the answer is worked out

Percentage change measures a difference against the value you started with. The value went from 21 to 31, a difference of 10. Compared with the starting value of 21, that difference is 47.619%, so this is a 47.619% increase.

The new value is 1.4762 times the old one: for every 100 at the start there are now 147.619.

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 $31 has gone up by 47.619%.
  • Pay: a wage that rises from $21 to $31 an hour is a 47.619% pay rise.
  • Audiences: a channel that grows from 21 to 31 subscribers has grown by 47.619%.

A quicker way

Find 1% of the starting value: 21 ÷ 100 = 0.21. The difference of 10 is 47.619 of those steps.

Percentage change is not the same as percentage points. If a rate moves from 21% to 31%, it changes by 10 percentage points, but by 47.619% relative to where it started.

Check the answer

Work forwards from the start: 21 × (1 + 0.47619) = 21 × 1.47619 = 31. Getting 31 shows the answer is right.

Rounding

Rounded to a whole number the change is 48, to one decimal place 47.6 and to two decimal places 47.62. 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 74

  1. Difference: 74 − 5 = 69
  2. Divide by the starting value: 69 ÷ 5 = 13.8
  3. Multiply by 100: 1,380%

Why the change back is different

A 47.619% rise followed by a 47.619% fall does not bring you back to 21: it gives 16.2381. The second percentage is taken of 31, not of 21, so to undo this change you need 32.2581% 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 31
  • What percent more is 31 than 21?
  • 21 to 31 as a percent change
  • How much did 21 grow going to 31, in percent?
  • Relative change between 21 and 31

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

Change47.619%
Difference10
New ÷ old1.47619
Directionincrease

Related results

21 to 29

From 21 to 29 is a 38.0952% increase

21 to 30

From 21 to 30 is a 42.8571% increase

21 to 32

From 21 to 32 is a 52.381% increase

21 to 33

From 21 to 33 is a 57.1429% increase

21 to 41

From 21 to 41 is a 95.2381% increase

The other way round: Percentage difference from 31 to 21

Doing it in a spreadsheet

In Excel, Google Sheets or Numbers type =(31-21)/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 74
Show answer

From 5 to 74 is a 1,380% increase

87 to 33
Show answer

From 87 to 33 is a 62.069% decrease

67 to 55
Show answer

From 67 to 55 is a 17.9104% decrease

55 to 77
Show answer

From 55 to 77 is a 40% increase

78 to 42
Show answer

From 78 to 42 is a 46.1538% decrease

6 to 91
Show answer

From 6 to 91 is a 1,416.6667% increase

5 to 64
Show answer

From 5 to 64 is a 1,180% increase

48 to 43
Show answer

From 48 to 43 is a 10.4167% decrease

70 to 24
Show answer

From 70 to 24 is a 65.7143% decrease

93 to 30
Show answer

From 93 to 30 is a 67.7419% 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.

Reference this page

Copy a citation or link:

<a href="https://sumwisemath.com/calc/percentage-change/difference-from-21-to-31/">What is the Percentage Difference from 21 to 31?</a>
"What is the Percentage Difference from 21 to 31?". Sumwise. https://sumwisemath.com/calc/percentage-change/difference-from-21-to-31/

Questions

What is the Percentage Difference from 21 to 31?

Going from 21 to 31 is a 47.619% increase. Formula and steps.

Is going from 21 to 31 an increase or a decrease?

An increase: the value grew by 10, which is 47.619% of the starting value.

What is the percentage change from 31 back to 21?

-32.2581%. It is a different number because the starting value is now 31, not 21.

What is the percentage difference between 21 and 31?

When neither value is the starting point, use the average as the base: 10 ÷ 26 × 100 = 38.4615%. 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 47.619%.