Sumwise

What is the Percentage Difference from 25 to 26?

From 25 to 26 is a 4% increase

Step by step

  1. Difference: 26 − 25 = 1
  2. Divide by the starting value: 1 ÷ 25 = 0.04
  3. Multiply by 100: 4%

How the answer is worked out

Percentage change measures a difference against the value you started with. The value went from 25 to 26, a difference of 1. Compared with the starting value of 25, that difference is 4%, so this is a 4% increase.

The new value is 1.04 times the old one: for every 100 at the start there are now 104.

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 $25 to $26 has gone up by 4%.
  • Pay: a wage that rises from $25 to $26 an hour is a 4% pay rise.
  • Audiences: a channel that grows from 25 to 26 subscribers has grown by 4%.

A quicker way

Find 1% of the starting value: 25 ÷ 100 = 0.25. The difference of 1 is 4 of those steps.

Percentage change is not the same as percentage points. If a rate moves from 25% to 26%, it changes by 1 percentage points, but by 4% relative to where it started.

Check the answer

Work forwards from the start: 25 × (1 + 0.04) = 25 × 1.04 = 26. Getting 26 shows the answer is right.

Rounding

Rounded to a whole number the change is 4, to one decimal place 4.0 and to two decimal places 4.00. 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 62

  1. Difference: 62 − 5 = 57
  2. Divide by the starting value: 57 ÷ 5 = 11.4
  3. Multiply by 100: 1,140%

Why the change back is different

A 4% rise followed by a 4% fall does not bring you back to 25: it gives 24.96. The second percentage is taken of 26, not of 25, so to undo this change you need 3.8462% 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 25 to 26
  • What percent more is 26 than 25?
  • 25 to 26 as a percent change
  • How much did 25 grow going to 26, in percent?
  • Relative change between 25 and 26

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%
Difference1
New ÷ old1.04
Directionincrease

Related results

25 to 24

From 25 to 24 is a 4% decrease

25 to 27

From 25 to 27 is a 8% increase

25 to 28

From 25 to 28 is a 12% increase

25 to 36

From 25 to 36 is a 44% increase

The other way round: Percentage difference from 26 to 25

Doing it in a spreadsheet

In Excel, Google Sheets or Numbers type =(26-25)/25*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 62
Show answer

From 5 to 62 is a 1,140% increase

45 to 65
Show answer

From 45 to 65 is a 44.4444% increase

20 to 81
Show answer

From 20 to 81 is a 305% increase

63 to 78
Show answer

From 63 to 78 is a 23.8095% increase

14 to 90
Show answer

From 14 to 90 is a 542.8571% increase

72 to 85
Show answer

From 72 to 85 is a 18.0556% increase

42 to 90
Show answer

From 42 to 90 is a 114.2857% increase

13 to 18
Show answer

From 13 to 18 is a 38.4615% increase

96 to 64
Show answer

From 96 to 64 is a 33.3333% decrease

28 to 37
Show answer

From 28 to 37 is a 32.1429% 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.

Reference this page

Copy a citation or link:

<a href="https://sumwisemath.com/calc/percentage-change/difference-from-25-to-26/">What is the Percentage Difference from 25 to 26?</a>
"What is the Percentage Difference from 25 to 26?". Sumwise. https://sumwisemath.com/calc/percentage-change/difference-from-25-to-26/

Questions

What is the Percentage Difference from 25 to 26?

Going from 25 to 26 is a 4% increase. Formula and steps.

Is going from 25 to 26 an increase or a decrease?

An increase: the value grew by 1, which is 4% of the starting value.

What is the percentage change from 26 back to 25?

-3.8462%. It is a different number because the starting value is now 26, not 25.

What is the percentage difference between 25 and 26?

When neither value is the starting point, use the average as the base: 1 ÷ 25.5 × 100 = 3.9216%. 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%.