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What is the Percentage Difference from 38 to 90?

From 38 to 90 is a 136.8421% increase

Step by step

  1. Difference: 90 − 38 = 52
  2. Divide by the starting value: 52 ÷ 38 = 1.368421
  3. Multiply by 100: 136.8421%

How the answer is worked out

Percentage change measures a difference against the value you started with. The value went from 38 to 90, a difference of 52. Compared with the starting value of 38, that difference is 136.8421%, so this is a 136.8421% increase.

The new value is 2.3684 times the old one: for every 100 at the start there are now 236.8421. The value has more than doubled.

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 $90 has gone up by 136.8421%.
  • Pay: a wage that rises from $38 to $90 an hour is a 136.8421% pay rise.
  • Audiences: a channel that grows from 38 to 90 subscribers has grown by 136.8421%.

A quicker way

Find 1% of the starting value: 38 ÷ 100 = 0.38. The difference of 52 is 136.8421 of those steps.

Percentage change is not the same as percentage points. If a rate moves from 38% to 90%, it changes by 52 percentage points, but by 136.8421% relative to where it started.

Check the answer

Work forwards from the start: 38 × (1 + 1.368421) = 38 × 2.368421 = 90. Getting 90 shows the answer is right.

Rounding

Rounded to a whole number the change is 137, to one decimal place 136.8 and to two decimal places 136.84. 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 96

  1. Difference: 96 − 8 = 88
  2. Divide by the starting value: 88 ÷ 8 = 11
  3. Multiply by 100: 1,100%

Why the change back is different

A 136.8421% rise followed by a 136.8421% fall does not bring you back to 38: it gives -33.1579. The second percentage is taken of 90, not of 38, so to undo this change you need 57.7778% 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 90
  • What percent more is 90 than 38?
  • 38 to 90 as a percent change
  • How much did 38 grow going to 90, in percent?
  • Relative change between 38 and 90

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

Change136.8421%
Difference52
New ÷ old2.368421
Directionincrease

Related results

38 to 88

From 38 to 88 is a 131.5789% increase

38 to 89

From 38 to 89 is a 134.2105% increase

38 to 91

From 38 to 91 is a 139.4737% increase

38 to 92

From 38 to 92 is a 142.1053% increase

38 to 100

From 38 to 100 is a 163.1579% increase

The other way round: Percentage difference from 90 to 38

Doing it in a spreadsheet

In Excel, Google Sheets or Numbers type =(90-38)/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 96
Show answer

From 8 to 96 is a 1,100% increase

3 to 35
Show answer

From 3 to 35 is a 1,066.6667% increase

95 to 92
Show answer

From 95 to 92 is a 3.1579% decrease

86 to 55
Show answer

From 86 to 55 is a 36.0465% decrease

67 to 44
Show answer

From 67 to 44 is a 34.3284% decrease

83 to 18
Show answer

From 83 to 18 is a 78.3133% decrease

54 to 83
Show answer

From 54 to 83 is a 53.7037% increase

55 to 52
Show answer

From 55 to 52 is a 5.4545% decrease

29 to 27
Show answer

From 29 to 27 is a 6.8966% decrease

48 to 82
Show answer

From 48 to 82 is a 70.8333% 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 38 to 90?

Going from 38 to 90 is a 136.8421% increase. Formula and steps.

Is going from 38 to 90 an increase or a decrease?

An increase: the value grew by 52, which is 136.8421% of the starting value.

What is the percentage change from 90 back to 38?

-57.7778%. It is a different number because the starting value is now 90, not 38.

What is the percentage difference between 38 and 90?

When neither value is the starting point, use the average as the base: 52 ÷ 64 × 100 = 81.25%. 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 136.8421%.