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What is the Percentage Difference from 90 to 63?

From 90 to 63 is a 30% decrease

Step by step

  1. Difference: 63 − 90 = -27
  2. Divide by the starting value: -27 ÷ 90 = -0.3
  3. Multiply by 100: -30%

How the answer is worked out

Percentage change measures a difference against the value you started with. The value went from 90 to 63, a difference of 27. Compared with the starting value of 90, that difference is 30%, so this is a 30% decrease.

The new value is 70% of the old one: for every 100 at the start there are now 70, so 30 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 $90 to $63 is a 30% discount.
  • Weight: going from 90 to 63 kilograms is a loss of 30% of the starting weight.
  • Results: if a team scores 63 points this season after 90 last season, its total has dropped by 30%.

A quicker way

Find 1% of the starting value: 90 ÷ 100 = 0.9. The difference of 27 is 30 of those steps.

Percentage change is not the same as percentage points. If a rate moves from 90% to 63%, it changes by 27 percentage points, but by 30% relative to where it started.

Check the answer

Work forwards from the start: 90 × (1 − 0.3) = 90 × 0.7 = 63. Getting 63 shows the answer is right.

Rounding

Rounded to a whole number the change is -30, to one decimal place -30.0 and to two decimal places -30.00. 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: 18 to 80

  1. Difference: 80 − 18 = 62
  2. Divide by the starting value: 62 ÷ 18 = 3.444444
  3. Multiply by 100: 344.4444%

Why the change back is different

A 30% fall followed by a 30% rise does not bring you back to 90: it gives 81.9. The second percentage is taken of 63, not of 90, so to undo this change you need 42.8571% 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 90 to 63
  • What percent less is 63 than 90?
  • 90 to 63 as a percent change
  • How much did 90 fall going to 63, in percent?
  • Relative change between 90 and 63

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-30%
Difference-27
New ÷ old0.7
Directiondecrease

Related results

90 to 61

From 90 to 61 is a 32.2222% decrease

90 to 62

From 90 to 62 is a 31.1111% decrease

90 to 64

From 90 to 64 is a 28.8889% decrease

90 to 65

From 90 to 65 is a 27.7778% decrease

90 to 73

From 90 to 73 is a 18.8889% decrease

The other way round: Percentage difference from 63 to 90

Doing it in a spreadsheet

In Excel, Google Sheets or Numbers type =(63-90)/90*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

18 to 80
Show answer

From 18 to 80 is a 344.4444% increase

50 to 51
Show answer

From 50 to 51 is a 2% increase

71 to 20
Show answer

From 71 to 20 is a 71.831% decrease

5 to 82
Show answer

From 5 to 82 is a 1,540% increase

25 to 2
Show answer

From 25 to 2 is a 92% decrease

63 to 75
Show answer

From 63 to 75 is a 19.0476% increase

54 to 36
Show answer

From 54 to 36 is a 33.3333% decrease

3 to 36
Show answer

From 3 to 36 is a 1,100% increase

91 to 13
Show answer

From 91 to 13 is a 85.7143% decrease

49 to 20
Show answer

From 49 to 20 is a 59.1837% 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 90 to 63?

Going from 90 to 63 is a 30% decrease. Formula and steps.

Is going from 90 to 63 an increase or a decrease?

A decrease: the value fell by 27, which is 30% of the starting value.

What is the percentage change from 63 back to 90?

42.8571%. It is a different number because the starting value is now 63, not 90.

What is the percentage difference between 90 and 63?

When neither value is the starting point, use the average as the base: 27 ÷ 76.5 × 100 = 35.2941%. 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 -30%.