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What is the Percentage Difference from 93 to 91?

From 93 to 91 is a 2.1505% decrease

Step by step

  1. Difference: 91 − 93 = -2
  2. Divide by the starting value: -2 ÷ 93 = -0.021505
  3. Multiply by 100: -2.1505%

How the answer is worked out

Percentage change measures a difference against the value you started with. The value went from 93 to 91, a difference of 2. Compared with the starting value of 93, that difference is 2.1505%, so this is a 2.1505% decrease.

The new value is 97.8495% of the old one: for every 100 at the start there are now 97.8495, so 2.1505 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 $93 to $91 is a 2.1505% discount.
  • Weight: going from 93 to 91 kilograms is a loss of 2.1505% of the starting weight.
  • Results: if a team scores 91 points this season after 93 last season, its total has dropped by 2.1505%.

A quicker way

Find 1% of the starting value: 93 ÷ 100 = 0.93. The difference of 2 is 2.1505 of those steps.

Percentage change is not the same as percentage points. If a rate moves from 93% to 91%, it changes by 2 percentage points, but by 2.1505% relative to where it started.

Check the answer

Work forwards from the start: 93 × (1 − 0.021505) = 93 × 0.978495 = 91. Getting 91 shows the answer is right.

Rounding

Rounded to a whole number the change is -2, to one decimal place -2.2 and to two decimal places -2.15. 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: 19 to 16

  1. Difference: 16 − 19 = -3
  2. Divide by the starting value: -3 ÷ 19 = -0.157895
  3. Multiply by 100: -15.7895%

Why the change back is different

A 2.1505% fall followed by a 2.1505% rise does not bring you back to 93: it gives 92.957. The second percentage is taken of 91, not of 93, so to undo this change you need 2.1978% 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 93 to 91
  • What percent less is 91 than 93?
  • 93 to 91 as a percent change
  • How much did 93 fall going to 91, in percent?
  • Relative change between 93 and 91

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-2.1505%
Difference-2
New ÷ old0.978495
Directiondecrease

Related results

93 to 89

From 93 to 89 is a 4.3011% decrease

93 to 90

From 93 to 90 is a 3.2258% decrease

93 to 92

From 93 to 92 is a 1.0753% decrease

93 to 101

From 93 to 101 is a 8.6022% increase

The other way round: Percentage difference from 91 to 93

Doing it in a spreadsheet

In Excel, Google Sheets or Numbers type =(91-93)/93*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

19 to 16
Show answer

From 19 to 16 is a 15.7895% decrease

63 to 15
Show answer

From 63 to 15 is a 76.1905% decrease

19 to 80
Show answer

From 19 to 80 is a 321.0526% increase

27 to 32
Show answer

From 27 to 32 is a 18.5185% increase

85 to 73
Show answer

From 85 to 73 is a 14.1176% decrease

82 to 24
Show answer

From 82 to 24 is a 70.7317% decrease

65 to 56
Show answer

From 65 to 56 is a 13.8462% decrease

83 to 37
Show answer

From 83 to 37 is a 55.4217% decrease

96 to 14
Show answer

From 96 to 14 is a 85.4167% decrease

8 to 81
Show answer

From 8 to 81 is a 912.5% 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 93 to 91?

Going from 93 to 91 is a 2.1505% decrease. Formula and steps.

Is going from 93 to 91 an increase or a decrease?

A decrease: the value fell by 2, which is 2.1505% of the starting value.

What is the percentage change from 91 back to 93?

2.1978%. It is a different number because the starting value is now 91, not 93.

What is the percentage difference between 93 and 91?

When neither value is the starting point, use the average as the base: 2 ÷ 92 × 100 = 2.1739%. 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 -2.1505%.