What is the Percentage Difference from 5 to 38?
From 5 to 38 is a 660% increase
Step by step
- Difference: 38 − 5 = 33
- Divide by the starting value: 33 ÷ 5 = 6.6
- Multiply by 100: 660%
How the answer is worked out
Percentage change measures a difference against the value you started with. The value went from 5 to 38, a difference of 33. Compared with the starting value of 5, that difference is 660%, so this is a 660% increase.
The new value is 7.6 times the old one: for every 100 at the start there are now 760. 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 $5 to $38 has gone up by 660%.
- Pay: a wage that rises from $5 to $38 an hour is a 660% pay rise.
- Audiences: a channel that grows from 5 to 38 subscribers has grown by 660%.
A quicker way
Find 1% of the starting value: 5 ÷ 100 = 0.05. The difference of 33 is 660 of those steps.
Percentage change is not the same as percentage points. If a rate moves from 5% to 38%, it changes by 33 percentage points, but by 660% relative to where it started.
Check the answer
Work forwards from the start: 5 × (1 + 6.6) = 5 × 7.6 = 38. Getting 38 shows the answer is right.
Rounding
Rounded to a whole number the change is 660, to one decimal place 660.0 and to two decimal places 660.00. 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: 2 to 3
- Difference: 3 − 2 = 1
- Divide by the starting value: 1 ÷ 2 = 0.5
- Multiply by 100: 50%
Why the change back is different
A 660% rise followed by a 660% fall does not bring you back to 5: it gives -212.8. The second percentage is taken of 38, not of 5, so to undo this change you need 86.8421% 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 5 to 38
- What percent more is 38 than 5?
- 5 to 38 as a percent change
- How much did 5 grow going to 38, in percent?
- Relative change between 5 and 38
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
| Change | 660% |
|---|---|
| Difference | 33 |
| New ÷ old | 7.6 |
| Direction | increase |
Related results
| 5 to 36 | From 5 to 36 is a 620% increase |
| 5 to 37 | From 5 to 37 is a 640% increase |
| 5 to 39 | From 5 to 39 is a 680% increase |
| 5 to 40 | From 5 to 40 is a 700% increase |
| 5 to 48 | From 5 to 48 is a 860% increase |
The other way round: Percentage difference from 38 to 5
Doing it in a spreadsheet
In Excel, Google Sheets or Numbers type =(38-5)/5*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
| 2 to 3 | Show answerFrom 2 to 3 is a 50% increase |
| 76 to 34 | Show answerFrom 76 to 34 is a 55.2632% decrease |
| 46 to 74 | Show answerFrom 46 to 74 is a 60.8696% increase |
| 89 to 25 | Show answerFrom 89 to 25 is a 71.9101% decrease |
| 99 to 19 | Show answerFrom 99 to 19 is a 80.8081% decrease |
| 18 to 52 | Show answerFrom 18 to 52 is a 188.8889% increase |
| 27 to 50 | Show answerFrom 27 to 50 is a 85.1852% increase |
| 63 to 90 | Show answerFrom 63 to 90 is a 42.8571% increase |
| 85 to 29 | Show answerFrom 85 to 29 is a 65.8824% decrease |
| 10 to 56 | Show answerFrom 10 to 56 is a 460% increase |
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 5 to 38?
Going from 5 to 38 is a 660% increase. Formula and steps.
Is going from 5 to 38 an increase or a decrease?
An increase: the value grew by 33, which is 660% of the starting value.
What is the percentage change from 38 back to 5?
-86.8421%. It is a different number because the starting value is now 38, not 5.
What is the percentage difference between 5 and 38?
When neither value is the starting point, use the average as the base: 33 ÷ 21.5 × 100 = 153.4884%. 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 660%.