What is the Percentage Difference from 35 to 48?
From 35 to 48 is a 37.1429% increase
Step by step
- Difference: 48 − 35 = 13
- Divide by the starting value: 13 ÷ 35 = 0.371429
- Multiply by 100: 37.1429%
How the answer is worked out
Percentage change measures a difference against the value you started with. The value went from 35 to 48, a difference of 13. Compared with the starting value of 35, that difference is 37.1429%, so this is a 37.1429% increase.
The new value is 1.3714 times the old one: for every 100 at the start there are now 137.1429.
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 $35 to $48 has gone up by 37.1429%.
- Pay: a wage that rises from $35 to $48 an hour is a 37.1429% pay rise.
- Audiences: a channel that grows from 35 to 48 subscribers has grown by 37.1429%.
A quicker way
Find 1% of the starting value: 35 ÷ 100 = 0.35. The difference of 13 is 37.1429 of those steps.
Percentage change is not the same as percentage points. If a rate moves from 35% to 48%, it changes by 13 percentage points, but by 37.1429% relative to where it started.
Check the answer
Work forwards from the start: 35 × (1 + 0.371429) = 35 × 1.371429 = 48. Getting 48 shows the answer is right.
Rounding
Rounded to a whole number the change is 37, to one decimal place 37.1 and to two decimal places 37.14. 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: 7 to 59
- Difference: 59 − 7 = 52
- Divide by the starting value: 52 ÷ 7 = 7.428571
- Multiply by 100: 742.8571%
Why the change back is different
A 37.1429% rise followed by a 37.1429% fall does not bring you back to 35: it gives 30.1714. The second percentage is taken of 48, not of 35, so to undo this change you need 27.0833% 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 35 to 48
- What percent more is 48 than 35?
- 35 to 48 as a percent change
- How much did 35 grow going to 48, in percent?
- Relative change between 35 and 48
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 | 37.1429% |
|---|---|
| Difference | 13 |
| New ÷ old | 1.371429 |
| Direction | increase |
Related results
| 35 to 46 | From 35 to 46 is a 31.4286% increase |
| 35 to 47 | From 35 to 47 is a 34.2857% increase |
| 35 to 49 | From 35 to 49 is a 40% increase |
| 35 to 50 | From 35 to 50 is a 42.8571% increase |
| 35 to 58 | From 35 to 58 is a 65.7143% increase |
The other way round: Percentage difference from 48 to 35
Doing it in a spreadsheet
In Excel, Google Sheets or Numbers type =(48-35)/35*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
| 7 to 59 | Show answerFrom 7 to 59 is a 742.8571% increase |
| 62 to 64 | Show answerFrom 62 to 64 is a 3.2258% increase |
| 51 to 14 | Show answerFrom 51 to 14 is a 72.549% decrease |
| 69 to 34 | Show answerFrom 69 to 34 is a 50.7246% decrease |
| 22 to 61 | Show answerFrom 22 to 61 is a 177.2727% increase |
| 4 to 6 | Show answerFrom 4 to 6 is a 50% increase |
| 76 to 60 | Show answerFrom 76 to 60 is a 21.0526% decrease |
| 84 to 36 | Show answerFrom 84 to 36 is a 57.1429% decrease |
| 42 to 80 | Show answerFrom 42 to 80 is a 90.4762% increase |
| 37 to 39 | Show answerFrom 37 to 39 is a 5.4054% 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 35 to 48?
Going from 35 to 48 is a 37.1429% increase. Formula and steps.
Is going from 35 to 48 an increase or a decrease?
An increase: the value grew by 13, which is 37.1429% of the starting value.
What is the percentage change from 48 back to 35?
-27.0833%. It is a different number because the starting value is now 48, not 35.
What is the percentage difference between 35 and 48?
When neither value is the starting point, use the average as the base: 13 ÷ 41.5 × 100 = 31.3253%. 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 37.1429%.