Sumwise

What is the Percentage Difference from 38 to 41?

From 38 to 41 is a 7.8947% increase

Step by step

  1. Difference: 41 − 38 = 3
  2. Divide by the starting value: 3 ÷ 38 = 0.078947
  3. Multiply by 100: 7.8947%

How the answer is worked out

Percentage change measures a difference against the value you started with. The value went from 38 to 41, a difference of 3. Compared with the starting value of 38, that difference is 7.8947%, so this is a 7.8947% increase.

The new value is 1.0789 times the old one: for every 100 at the start there are now 107.8947.

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 $38 to $41 has gone up by 7.8947%.
  • Pay: a wage that rises from $38 to $41 an hour is a 7.8947% pay rise.
  • Audiences: a channel that grows from 38 to 41 subscribers has grown by 7.8947%.

A quicker way

Find 1% of the starting value: 38 ÷ 100 = 0.38. The difference of 3 is 7.8947 of those steps.

Percentage change is not the same as percentage points. If a rate moves from 38% to 41%, it changes by 3 percentage points, but by 7.8947% relative to where it started.

Check the answer

Work forwards from the start: 38 × (1 + 0.078947) = 38 × 1.078947 = 41. Getting 41 shows the answer is right.

Rounding

Rounded to a whole number the change is 8, to one decimal place 7.9 and to two decimal places 7.89. 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: 8 to 18

  1. Difference: 18 − 8 = 10
  2. Divide by the starting value: 10 ÷ 8 = 1.25
  3. Multiply by 100: 125%

Why the change back is different

A 7.8947% rise followed by a 7.8947% fall does not bring you back to 38: it gives 37.7632. The second percentage is taken of 41, not of 38, so to undo this change you need 7.3171% 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 38 to 41
  • What percent more is 41 than 38?
  • 38 to 41 as a percent change
  • How much did 38 grow going to 41, in percent?
  • Relative change between 38 and 41

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

Change7.8947%
Difference3
New ÷ old1.078947
Directionincrease

Related results

38 to 39

From 38 to 39 is a 2.6316% increase

38 to 40

From 38 to 40 is a 5.2632% increase

38 to 42

From 38 to 42 is a 10.5263% increase

38 to 43

From 38 to 43 is a 13.1579% increase

38 to 51

From 38 to 51 is a 34.2105% increase

The other way round: Percentage difference from 41 to 38

Doing it in a spreadsheet

In Excel, Google Sheets or Numbers type =(41-38)/38*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

8 to 18
Show answer

From 8 to 18 is a 125% increase

73 to 78
Show answer

From 73 to 78 is a 6.8493% increase

96 to 77
Show answer

From 96 to 77 is a 19.7917% decrease

90 to 45
Show answer

From 90 to 45 is a 50% decrease

92 to 88
Show answer

From 92 to 88 is a 4.3478% decrease

76 to 3
Show answer

From 76 to 3 is a 96.0526% decrease

48 to 50
Show answer

From 48 to 50 is a 4.1667% increase

12 to 8
Show answer

From 12 to 8 is a 33.3333% decrease

36 to 7
Show answer

From 36 to 7 is a 80.5556% decrease

15 to 65
Show answer

From 15 to 65 is a 333.3333% 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-38-to-41/">What is the Percentage Difference from 38 to 41?</a>
"What is the Percentage Difference from 38 to 41?". Sumwise. https://sumwisemath.com/calc/percentage-change/difference-from-38-to-41/

Questions

What is the Percentage Difference from 38 to 41?

Going from 38 to 41 is a 7.8947% increase. Formula and steps.

Is going from 38 to 41 an increase or a decrease?

An increase: the value grew by 3, which is 7.8947% of the starting value.

What is the percentage change from 41 back to 38?

-7.3171%. It is a different number because the starting value is now 41, not 38.

What is the percentage difference between 38 and 41?

When neither value is the starting point, use the average as the base: 3 ÷ 39.5 × 100 = 7.5949%. 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 7.8947%.