What is the Percentage Difference from 42 to 73?
From 42 to 73 is a 73.8095% increase
Step by step
- Difference: 73 − 42 = 31
- Divide by the starting value: 31 ÷ 42 = 0.738095
- Multiply by 100: 73.8095%
How the answer is worked out
Percentage change measures a difference against the value you started with. The value went from 42 to 73, a difference of 31. Compared with the starting value of 42, that difference is 73.8095%, so this is a 73.8095% increase.
The new value is 1.7381 times the old one: for every 100 at the start there are now 173.8095.
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 $42 to $73 has gone up by 73.8095%.
- Pay: a wage that rises from $42 to $73 an hour is a 73.8095% pay rise.
- Audiences: a channel that grows from 42 to 73 subscribers has grown by 73.8095%.
A quicker way
Find 1% of the starting value: 42 ÷ 100 = 0.42. The difference of 31 is 73.8095 of those steps.
Percentage change is not the same as percentage points. If a rate moves from 42% to 73%, it changes by 31 percentage points, but by 73.8095% relative to where it started.
Check the answer
Work forwards from the start: 42 × (1 + 0.738095) = 42 × 1.738095 = 73. Getting 73 shows the answer is right.
Rounding
Rounded to a whole number the change is 74, to one decimal place 73.8 and to two decimal places 73.81. 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: 9 to 35
- Difference: 35 − 9 = 26
- Divide by the starting value: 26 ÷ 9 = 2.888889
- Multiply by 100: 288.8889%
Why the change back is different
A 73.8095% rise followed by a 73.8095% fall does not bring you back to 42: it gives 19.119. The second percentage is taken of 73, not of 42, so to undo this change you need 42.4658% 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 42 to 73
- What percent more is 73 than 42?
- 42 to 73 as a percent change
- How much did 42 grow going to 73, in percent?
- Relative change between 42 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 | 73.8095% |
|---|---|
| Difference | 31 |
| New ÷ old | 1.738095 |
| Direction | increase |
Related results
| 42 to 71 | From 42 to 71 is a 69.0476% increase |
| 42 to 72 | From 42 to 72 is a 71.4286% increase |
| 42 to 74 | From 42 to 74 is a 76.1905% increase |
| 42 to 75 | From 42 to 75 is a 78.5714% increase |
| 42 to 83 | From 42 to 83 is a 97.619% increase |
The other way round: Percentage difference from 73 to 42
Doing it in a spreadsheet
In Excel, Google Sheets or Numbers type =(73-42)/42*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
| 9 to 35 | Show answerFrom 9 to 35 is a 288.8889% increase |
| 23 to 60 | Show answerFrom 23 to 60 is a 160.8696% increase |
| 39 to 59 | Show answerFrom 39 to 59 is a 51.2821% increase |
| 24 to 60 | Show answerFrom 24 to 60 is a 150% increase |
| 49 to 99 | Show answerFrom 49 to 99 is a 102.0408% increase |
| 53 to 26 | Show answerFrom 53 to 26 is a 50.9434% decrease |
| 57 to 71 | Show answerFrom 57 to 71 is a 24.5614% increase |
| 37 to 57 | Show answerFrom 37 to 57 is a 54.0541% increase |
| 83 to 3 | Show answerFrom 83 to 3 is a 96.3855% decrease |
| 55 to 74 | Show answerFrom 55 to 74 is a 34.5455% 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 42 to 73?
Going from 42 to 73 is a 73.8095% increase. Formula and steps.
Is going from 42 to 73 an increase or a decrease?
An increase: the value grew by 31, which is 73.8095% of the starting value.
What is the percentage change from 73 back to 42?
-42.4658%. It is a different number because the starting value is now 73, not 42.
What is the percentage difference between 42 and 73?
When neither value is the starting point, use the average as the base: 31 ÷ 57.5 × 100 = 53.913%. 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 73.8095%.