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What is the Percentage Difference from 40 to 43?

From 40 to 43 is a 7.5% increase

Step by step

  1. Difference: 43 − 40 = 3
  2. Divide by the starting value: 3 ÷ 40 = 0.075
  3. Multiply by 100: 7.5%

How the answer is worked out

Percentage change measures a difference against the value you started with. The value went from 40 to 43, a difference of 3. Compared with the starting value of 40, that difference is 7.5%, so this is a 7.5% increase.

The new value is 1.075 times the old one: for every 100 at the start there are now 107.5.

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 $43 has gone up by 7.5%.
  • Pay: a wage that rises from $40 to $43 an hour is a 7.5% pay rise.
  • Audiences: a channel that grows from 40 to 43 subscribers has grown by 7.5%.

A quicker way

Find 1% of the starting value: 40 ÷ 100 = 0.4. The difference of 3 is 7.5 of those steps.

Percentage change is not the same as percentage points. If a rate moves from 40% to 43%, it changes by 3 percentage points, but by 7.5% relative to where it started.

Check the answer

Work forwards from the start: 40 × (1 + 0.075) = 40 × 1.075 = 43. Getting 43 shows the answer is right.

Rounding

Rounded to a whole number the change is 8, to one decimal place 7.5 and to two decimal places 7.50. 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 15

  1. Difference: 15 − 8 = 7
  2. Divide by the starting value: 7 ÷ 8 = 0.875
  3. Multiply by 100: 87.5%

Why the change back is different

A 7.5% rise followed by a 7.5% fall does not bring you back to 40: it gives 39.775. The second percentage is taken of 43, not of 40, so to undo this change you need 6.9767% 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 43
  • What percent more is 43 than 40?
  • 40 to 43 as a percent change
  • How much did 40 grow going to 43, in percent?
  • Relative change between 40 and 43

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

Change7.5%
Difference3
New ÷ old1.075
Directionincrease

Related results

40 to 41

From 40 to 41 is a 2.5% increase

40 to 42

From 40 to 42 is a 5% increase

40 to 44

From 40 to 44 is a 10% increase

40 to 45

From 40 to 45 is a 12.5% increase

40 to 53

From 40 to 53 is a 32.5% increase

The other way round: Percentage difference from 43 to 40

Doing it in a spreadsheet

In Excel, Google Sheets or Numbers type =(43-40)/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 15
Show answer

From 8 to 15 is a 87.5% increase

19 to 93
Show answer

From 19 to 93 is a 389.4737% increase

63 to 73
Show answer

From 63 to 73 is a 15.873% increase

45 to 13
Show answer

From 45 to 13 is a 71.1111% decrease

49 to 80
Show answer

From 49 to 80 is a 63.2653% increase

27 to 13
Show answer

From 27 to 13 is a 51.8519% decrease

36 to 70
Show answer

From 36 to 70 is a 94.4444% increase

77 to 24
Show answer

From 77 to 24 is a 68.8312% decrease

29 to 74
Show answer

From 29 to 74 is a 155.1724% increase

77 to 18
Show answer

From 77 to 18 is a 76.6234% 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 43?

Going from 40 to 43 is a 7.5% increase. Formula and steps.

Is going from 40 to 43 an increase or a decrease?

An increase: the value grew by 3, which is 7.5% of the starting value.

What is the percentage change from 43 back to 40?

-6.9767%. It is a different number because the starting value is now 43, not 40.

What is the percentage difference between 40 and 43?

When neither value is the starting point, use the average as the base: 3 ÷ 41.5 × 100 = 7.2289%. 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 7.5%.