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What is the Percentage Difference from 58 to 62?

From 58 to 62 is a 6.8966% increase

Step by step

  1. Difference: 62 − 58 = 4
  2. Divide by the starting value: 4 ÷ 58 = 0.068966
  3. Multiply by 100: 6.8966%

How the answer is worked out

Percentage change measures a difference against the value you started with. The value went from 58 to 62, a difference of 4. Compared with the starting value of 58, that difference is 6.8966%, so this is a 6.8966% increase.

The new value is 1.069 times the old one: for every 100 at the start there are now 106.8966.

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 $58 to $62 has gone up by 6.8966%.
  • Pay: a wage that rises from $58 to $62 an hour is a 6.8966% pay rise.
  • Audiences: a channel that grows from 58 to 62 subscribers has grown by 6.8966%.

A quicker way

Find 1% of the starting value: 58 ÷ 100 = 0.58. The difference of 4 is 6.8966 of those steps.

Percentage change is not the same as percentage points. If a rate moves from 58% to 62%, it changes by 4 percentage points, but by 6.8966% relative to where it started.

Check the answer

Work forwards from the start: 58 × (1 + 0.068966) = 58 × 1.068966 = 62. Getting 62 shows the answer is right.

Rounding

Rounded to a whole number the change is 7, to one decimal place 6.9 and to two decimal places 6.90. 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: 12 to 18

  1. Difference: 18 − 12 = 6
  2. Divide by the starting value: 6 ÷ 12 = 0.5
  3. Multiply by 100: 50%

Why the change back is different

A 6.8966% rise followed by a 6.8966% fall does not bring you back to 58: it gives 57.7241. The second percentage is taken of 62, not of 58, so to undo this change you need 6.4516% 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 58 to 62
  • What percent more is 62 than 58?
  • 58 to 62 as a percent change
  • How much did 58 grow going to 62, in percent?
  • Relative change between 58 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

Change6.8966%
Difference4
New ÷ old1.068966
Directionincrease

Related results

58 to 60

From 58 to 60 is a 3.4483% increase

58 to 61

From 58 to 61 is a 5.1724% increase

58 to 63

From 58 to 63 is a 8.6207% increase

58 to 64

From 58 to 64 is a 10.3448% increase

58 to 72

From 58 to 72 is a 24.1379% increase

The other way round: Percentage difference from 62 to 58

Doing it in a spreadsheet

In Excel, Google Sheets or Numbers type =(62-58)/58*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

12 to 18
Show answer

From 12 to 18 is a 50% increase

29 to 55
Show answer

From 29 to 55 is a 89.6552% increase

72 to 54
Show answer

From 72 to 54 is a 25% decrease

91 to 27
Show answer

From 91 to 27 is a 70.3297% decrease

83 to 7
Show answer

From 83 to 7 is a 91.5663% decrease

67 to 75
Show answer

From 67 to 75 is a 11.9403% increase

48 to 66
Show answer

From 48 to 66 is a 37.5% increase

6 to 91
Show answer

From 6 to 91 is a 1,416.6667% increase

55 to 89
Show answer

From 55 to 89 is a 61.8182% increase

57 to 83
Show answer

From 57 to 83 is a 45.614% increase

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 58 to 62?

Going from 58 to 62 is a 6.8966% increase. Formula and steps.

Is going from 58 to 62 an increase or a decrease?

An increase: the value grew by 4, which is 6.8966% of the starting value.

What is the percentage change from 62 back to 58?

-6.4516%. It is a different number because the starting value is now 62, not 58.

What is the percentage difference between 58 and 62?

When neither value is the starting point, use the average as the base: 4 ÷ 60 × 100 = 6.6667%. 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 6.8966%.