What is the Percentage Difference from 37 to 18?
From 37 to 18 is a 51.3514% decrease
Step by step
- Difference: 18 − 37 = -19
- Divide by the starting value: -19 ÷ 37 = -0.513514
- Multiply by 100: -51.3514%
How the answer is worked out
Percentage change measures a difference against the value you started with. The value went from 37 to 18, a difference of 19. Compared with the starting value of 37, that difference is 51.3514%, so this is a 51.3514% decrease.
The new value is 48.6486% of the old one: for every 100 at the start there are now 48.6486, so 51.3514 out of every 100 have gone.
Why calculate this?
Percentage change compares a new value with an old one regardless of size: price rises, growth, discounts, score changes.
- Sales: a price cut from $37 to $18 is a 51.3514% discount.
- Weight: going from 37 to 18 kilograms is a loss of 51.3514% of the starting weight.
- Results: if a team scores 18 points this season after 37 last season, its total has dropped by 51.3514%.
A quicker way
Find 1% of the starting value: 37 ÷ 100 = 0.37. The difference of 19 is 51.3514 of those steps.
Percentage change is not the same as percentage points. If a rate moves from 37% to 18%, it changes by 19 percentage points, but by 51.3514% relative to where it started.
Check the answer
Work forwards from the start: 37 × (1 − 0.513514) = 37 × 0.486486 = 18. Getting 18 shows the answer is right.
Rounding
Rounded to a whole number the change is -51, to one decimal place -51.4 and to two decimal places -51.35. 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 9
- Difference: 9 − 8 = 1
- Divide by the starting value: 1 ÷ 8 = 0.125
- Multiply by 100: 12.5%
Why the change back is different
A 51.3514% fall followed by a 51.3514% rise does not bring you back to 37: it gives 27.2432. The second percentage is taken of 18, not of 37, so to undo this change you need 105.5556% instead.
Other ways to ask this
The same calculation is often asked in other words. All of these have the answer above:
- Percentage decrease from 37 to 18
- What percent less is 18 than 37?
- 37 to 18 as a percent change
- How much did 37 fall going to 18, in percent?
- Relative change between 37 and 18
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 | -51.3514% |
|---|---|
| Difference | -19 |
| New ÷ old | 0.486486 |
| Direction | decrease |
Related results
| 37 to 16 | From 37 to 16 is a 56.7568% decrease |
| 37 to 17 | From 37 to 17 is a 54.0541% decrease |
| 37 to 19 | From 37 to 19 is a 48.6486% decrease |
| 37 to 20 | From 37 to 20 is a 45.9459% decrease |
| 37 to 28 | From 37 to 28 is a 24.3243% decrease |
The other way round: Percentage difference from 18 to 37
Doing it in a spreadsheet
In Excel, Google Sheets or Numbers type =(18-37)/37*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 9 | Show answerFrom 8 to 9 is a 12.5% increase |
| 32 to 82 | Show answerFrom 32 to 82 is a 156.25% increase |
| 44 to 70 | Show answerFrom 44 to 70 is a 59.0909% increase |
| 73 to 39 | Show answerFrom 73 to 39 is a 46.5753% decrease |
| 56 to 5 | Show answerFrom 56 to 5 is a 91.0714% decrease |
| 37 to 96 | Show answerFrom 37 to 96 is a 159.4595% increase |
| 29 to 77 | Show answerFrom 29 to 77 is a 165.5172% increase |
| 98 to 17 | Show answerFrom 98 to 17 is a 82.6531% decrease |
| 35 to 57 | Show answerFrom 35 to 57 is a 62.8571% increase |
| 5 to 43 | Show answerFrom 5 to 43 is a 760% 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 37 to 18?
Going from 37 to 18 is a 51.3514% decrease. Formula and steps.
Is going from 37 to 18 an increase or a decrease?
A decrease: the value fell by 19, which is 51.3514% of the starting value.
What is the percentage change from 18 back to 37?
105.5556%. It is a different number because the starting value is now 18, not 37.
What is the percentage difference between 37 and 18?
When neither value is the starting point, use the average as the base: 19 ÷ 27.5 × 100 = 69.0909%. 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 -51.3514%.