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What is the Percentage Difference from 40 to 62?

From 40 to 62 is a 55% increase

Step by step

  1. Difference: 62 − 40 = 22
  2. Divide by the starting value: 22 ÷ 40 = 0.55
  3. Multiply by 100: 55%

How the answer is worked out

Percentage change measures a difference against the value you started with. The value went from 40 to 62, a difference of 22. Compared with the starting value of 40, that difference is 55%, so this is a 55% increase.

The new value is 1.55 times the old one: for every 100 at the start there are now 155.

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 $62 has gone up by 55%.
  • Pay: a wage that rises from $40 to $62 an hour is a 55% pay rise.
  • Audiences: a channel that grows from 40 to 62 subscribers has grown by 55%.

A quicker way

Find 1% of the starting value: 40 ÷ 100 = 0.4. The difference of 22 is 55 of those steps.

Percentage change is not the same as percentage points. If a rate moves from 40% to 62%, it changes by 22 percentage points, but by 55% relative to where it started.

Check the answer

Work forwards from the start: 40 × (1 + 0.55) = 40 × 1.55 = 62. Getting 62 shows the answer is right.

Rounding

Rounded to a whole number the change is 55, to one decimal place 55.0 and to two decimal places 55.00. 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 45

  1. Difference: 45 − 9 = 36
  2. Divide by the starting value: 36 ÷ 9 = 4
  3. Multiply by 100: 400%

Why the change back is different

A 55% rise followed by a 55% fall does not bring you back to 40: it gives 27.9. The second percentage is taken of 62, not of 40, so to undo this change you need 35.4839% 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 62
  • What percent more is 62 than 40?
  • 40 to 62 as a percent change
  • How much did 40 grow going to 62, in percent?
  • Relative change between 40 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

Change55%
Difference22
New ÷ old1.55
Directionincrease

Related results

40 to 60

From 40 to 60 is a 50% increase

40 to 61

From 40 to 61 is a 52.5% increase

40 to 63

From 40 to 63 is a 57.5% increase

40 to 64

From 40 to 64 is a 60% increase

40 to 72

From 40 to 72 is a 80% increase

The other way round: Percentage difference from 62 to 40

Doing it in a spreadsheet

In Excel, Google Sheets or Numbers type =(62-40)/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

9 to 45
Show answer

From 9 to 45 is a 400% increase

22 to 23
Show answer

From 22 to 23 is a 4.5455% increase

31 to 63
Show answer

From 31 to 63 is a 103.2258% increase

43 to 65
Show answer

From 43 to 65 is a 51.1628% increase

27 to 6
Show answer

From 27 to 6 is a 77.7778% decrease

97 to 93
Show answer

From 97 to 93 is a 4.1237% decrease

79 to 53
Show answer

From 79 to 53 is a 32.9114% decrease

87 to 47
Show answer

From 87 to 47 is a 45.977% decrease

44 to 50
Show answer

From 44 to 50 is a 13.6364% increase

81 to 8
Show answer

From 81 to 8 is a 90.1235% decrease

Calculate another

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 40 to 62?

Going from 40 to 62 is a 55% increase. Formula and steps.

Is going from 40 to 62 an increase or a decrease?

An increase: the value grew by 22, which is 55% of the starting value.

What is the percentage change from 62 back to 40?

-35.4839%. It is a different number because the starting value is now 62, not 40.

What is the percentage difference between 40 and 62?

When neither value is the starting point, use the average as the base: 22 ÷ 51 × 100 = 43.1373%. 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 55%.