What is the Percentage Difference from 47 to 72?
From 47 to 72 is a 53.1915% increase
Step by step
- Difference: 72 − 47 = 25
- Divide by the starting value: 25 ÷ 47 = 0.531915
- Multiply by 100: 53.1915%
How the answer is worked out
Percentage change measures a difference against the value you started with. The value went from 47 to 72, a difference of 25. Compared with the starting value of 47, that difference is 53.1915%, so this is a 53.1915% increase.
The new value is 1.5319 times the old one: for every 100 at the start there are now 153.1915.
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 $47 to $72 has gone up by 53.1915%.
- Pay: a wage that rises from $47 to $72 an hour is a 53.1915% pay rise.
- Audiences: a channel that grows from 47 to 72 subscribers has grown by 53.1915%.
A quicker way
Find 1% of the starting value: 47 ÷ 100 = 0.47. The difference of 25 is 53.1915 of those steps.
Percentage change is not the same as percentage points. If a rate moves from 47% to 72%, it changes by 25 percentage points, but by 53.1915% relative to where it started.
Check the answer
Work forwards from the start: 47 × (1 + 0.531915) = 47 × 1.531915 = 72. Getting 72 shows the answer is right.
Rounding
Rounded to a whole number the change is 53, to one decimal place 53.2 and to two decimal places 53.19. 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: 10 to 79
- Difference: 79 − 10 = 69
- Divide by the starting value: 69 ÷ 10 = 6.9
- Multiply by 100: 690%
Why the change back is different
A 53.1915% rise followed by a 53.1915% fall does not bring you back to 47: it gives 33.7021. The second percentage is taken of 72, not of 47, so to undo this change you need 34.7222% 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 47 to 72
- What percent more is 72 than 47?
- 47 to 72 as a percent change
- How much did 47 grow going to 72, in percent?
- Relative change between 47 and 72
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 | 53.1915% |
|---|---|
| Difference | 25 |
| New ÷ old | 1.531915 |
| Direction | increase |
Related results
| 47 to 70 | From 47 to 70 is a 48.9362% increase |
| 47 to 71 | From 47 to 71 is a 51.0638% increase |
| 47 to 73 | From 47 to 73 is a 55.3191% increase |
| 47 to 74 | From 47 to 74 is a 57.4468% increase |
| 47 to 82 | From 47 to 82 is a 74.4681% increase |
The other way round: Percentage difference from 72 to 47
Doing it in a spreadsheet
In Excel, Google Sheets or Numbers type =(72-47)/47*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
| 10 to 79 | Show answerFrom 10 to 79 is a 690% increase |
| 72 to 49 | Show answerFrom 72 to 49 is a 31.9444% decrease |
| 13 to 10 | Show answerFrom 13 to 10 is a 23.0769% decrease |
| 57 to 43 | Show answerFrom 57 to 43 is a 24.5614% decrease |
| 39 to 95 | Show answerFrom 39 to 95 is a 143.5897% increase |
| 34 to 16 | Show answerFrom 34 to 16 is a 52.9412% decrease |
| 97 to 55 | Show answerFrom 97 to 55 is a 43.299% decrease |
| 42 to 27 | Show answerFrom 42 to 27 is a 35.7143% decrease |
| 96 to 31 | Show answerFrom 96 to 31 is a 67.7083% decrease |
| 45 to 59 | Show answerFrom 45 to 59 is a 31.1111% 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 47 to 72?
Going from 47 to 72 is a 53.1915% increase. Formula and steps.
Is going from 47 to 72 an increase or a decrease?
An increase: the value grew by 25, which is 53.1915% of the starting value.
What is the percentage change from 72 back to 47?
-34.7222%. It is a different number because the starting value is now 72, not 47.
What is the percentage difference between 47 and 72?
When neither value is the starting point, use the average as the base: 25 ÷ 59.5 × 100 = 42.0168%. 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 53.1915%.