What is the Percentage Difference from 40 to 73?
From 40 to 73 is a 82.5% increase
Step by step
- Difference: 73 − 40 = 33
- Divide by the starting value: 33 ÷ 40 = 0.825
- Multiply by 100: 82.5%
How the answer is worked out
Percentage change measures a difference against the value you started with. The value went from 40 to 73, a difference of 33. Compared with the starting value of 40, that difference is 82.5%, so this is a 82.5% increase.
The new value is 1.825 times the old one: for every 100 at the start there are now 182.5.
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 $40 to $73 has gone up by 82.5%.
- Pay: a wage that rises from $40 to $73 an hour is a 82.5% pay rise.
- Audiences: a channel that grows from 40 to 73 subscribers has grown by 82.5%.
A quicker way
Find 1% of the starting value: 40 ÷ 100 = 0.4. The difference of 33 is 82.5 of those steps.
Percentage change is not the same as percentage points. If a rate moves from 40% to 73%, it changes by 33 percentage points, but by 82.5% relative to where it started.
Check the answer
Work forwards from the start: 40 × (1 + 0.825) = 40 × 1.825 = 73. Getting 73 shows the answer is right.
Rounding
Rounded to a whole number the change is 83, to one decimal place 82.5 and to two decimal places 82.50. 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 68
- Difference: 68 − 8 = 60
- Divide by the starting value: 60 ÷ 8 = 7.5
- Multiply by 100: 750%
Why the change back is different
A 82.5% rise followed by a 82.5% fall does not bring you back to 40: it gives 12.775. The second percentage is taken of 73, not of 40, so to undo this change you need 45.2055% 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 40 to 73
- What percent more is 73 than 40?
- 40 to 73 as a percent change
- How much did 40 grow going to 73, in percent?
- Relative change between 40 and 73
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 | 82.5% |
|---|---|
| Difference | 33 |
| New ÷ old | 1.825 |
| Direction | increase |
Related results
| 40 to 71 | From 40 to 71 is a 77.5% increase |
| 40 to 72 | From 40 to 72 is a 80% increase |
| 40 to 74 | From 40 to 74 is a 85% increase |
| 40 to 75 | From 40 to 75 is a 87.5% increase |
| 40 to 83 | From 40 to 83 is a 107.5% increase |
The other way round: Percentage difference from 73 to 40
Doing it in a spreadsheet
In Excel, Google Sheets or Numbers type =(73-40)/40*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 68 | Show answerFrom 8 to 68 is a 750% increase |
| 54 to 66 | Show answerFrom 54 to 66 is a 22.2222% increase |
| 30 to 70 | Show answerFrom 30 to 70 is a 133.3333% increase |
| 33 to 37 | Show answerFrom 33 to 37 is a 12.1212% increase |
| 3 to 52 | Show answerFrom 3 to 52 is a 1,633.3333% increase |
| 91 to 78 | Show answerFrom 91 to 78 is a 14.2857% decrease |
| 25 to 19 | Show answerFrom 25 to 19 is a 24% decrease |
| 29 to 89 | Show answerFrom 29 to 89 is a 206.8966% increase |
| 49 to 20 | Show answerFrom 49 to 20 is a 59.1837% decrease |
| 55 to 41 | Show answerFrom 55 to 41 is a 25.4545% decrease |
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-40-to-73/">What is the Percentage Difference from 40 to 73?</a>
"What is the Percentage Difference from 40 to 73?". Sumwise. https://sumwisemath.com/calc/percentage-change/difference-from-40-to-73/
Questions
What is the Percentage Difference from 40 to 73?
Going from 40 to 73 is a 82.5% increase. Formula and steps.
Is going from 40 to 73 an increase or a decrease?
An increase: the value grew by 33, which is 82.5% of the starting value.
What is the percentage change from 73 back to 40?
-45.2055%. It is a different number because the starting value is now 73, not 40.
What is the percentage difference between 40 and 73?
When neither value is the starting point, use the average as the base: 33 ÷ 56.5 × 100 = 58.4071%. 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 82.5%.