What is the Percentage Difference from 45 to 62?
From 45 to 62 is a 37.7778% increase
Step by step
- Difference: 62 − 45 = 17
- Divide by the starting value: 17 ÷ 45 = 0.377778
- Multiply by 100: 37.7778%
How the answer is worked out
Percentage change measures a difference against the value you started with. The value went from 45 to 62, a difference of 17. Compared with the starting value of 45, that difference is 37.7778%, so this is a 37.7778% increase.
The new value is 1.3778 times the old one: for every 100 at the start there are now 137.7778.
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 $45 to $62 has gone up by 37.7778%.
- Pay: a wage that rises from $45 to $62 an hour is a 37.7778% pay rise.
- Audiences: a channel that grows from 45 to 62 subscribers has grown by 37.7778%.
A quicker way
Find 1% of the starting value: 45 ÷ 100 = 0.45. The difference of 17 is 37.7778 of those steps.
Percentage change is not the same as percentage points. If a rate moves from 45% to 62%, it changes by 17 percentage points, but by 37.7778% relative to where it started.
Check the answer
Work forwards from the start: 45 × (1 + 0.377778) = 45 × 1.377778 = 62. Getting 62 shows the answer is right.
Rounding
Rounded to a whole number the change is 38, to one decimal place 37.8 and to two decimal places 37.78. 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 91
- Difference: 91 − 9 = 82
- Divide by the starting value: 82 ÷ 9 = 9.111111
- Multiply by 100: 911.1111%
Why the change back is different
A 37.7778% rise followed by a 37.7778% fall does not bring you back to 45: it gives 38.5778. The second percentage is taken of 62, not of 45, so to undo this change you need 27.4194% 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 45 to 62
- What percent more is 62 than 45?
- 45 to 62 as a percent change
- How much did 45 grow going to 62, in percent?
- Relative change between 45 and 62
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 | 37.7778% |
|---|---|
| Difference | 17 |
| New ÷ old | 1.377778 |
| Direction | increase |
Related results
| 45 to 60 | From 45 to 60 is a 33.3333% increase |
| 45 to 61 | From 45 to 61 is a 35.5556% increase |
| 45 to 63 | From 45 to 63 is a 40% increase |
| 45 to 64 | From 45 to 64 is a 42.2222% increase |
| 45 to 72 | From 45 to 72 is a 60% increase |
The other way round: Percentage difference from 62 to 45
Doing it in a spreadsheet
In Excel, Google Sheets or Numbers type =(62-45)/45*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 91 | Show answerFrom 9 to 91 is a 911.1111% increase |
| 16 to 81 | Show answerFrom 16 to 81 is a 406.25% increase |
| 73 to 20 | Show answerFrom 73 to 20 is a 72.6027% decrease |
| 89 to 29 | Show answerFrom 89 to 29 is a 67.4157% decrease |
| 18 to 67 | Show answerFrom 18 to 67 is a 272.2222% increase |
| 71 to 68 | Show answerFrom 71 to 68 is a 4.2254% decrease |
| 8 to 75 | Show answerFrom 8 to 75 is a 837.5% increase |
| 91 to 43 | Show answerFrom 91 to 43 is a 52.7473% decrease |
| 48 to 96 | Show answerFrom 48 to 96 is a 100% increase |
| 24 to 77 | Show answerFrom 24 to 77 is a 220.8333% 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 45 to 62?
Going from 45 to 62 is a 37.7778% increase. Formula and steps.
Is going from 45 to 62 an increase or a decrease?
An increase: the value grew by 17, which is 37.7778% of the starting value.
What is the percentage change from 62 back to 45?
-27.4194%. It is a different number because the starting value is now 62, not 45.
What is the percentage difference between 45 and 62?
When neither value is the starting point, use the average as the base: 17 ÷ 53.5 × 100 = 31.7757%. 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 37.7778%.