Sumwise

What is the Percentage Difference from 42 to 77?

From 42 to 77 is a 83.3333% increase

Change
83.3333%
Difference
35
New ÷ old
1.833333
Direction
increase

Sumwise · Checked by Theo Abbott · Data: exact arithmetic; unit definitions from NIST SP 811 · Updated · How we check it

How to work it out

  1. Difference: 77 − 42 = 35
  2. Divide by the starting value: 35 ÷ 42 = 0.833333
  3. Multiply by 100: 83.3333%
  4. Check: Work forwards from the start: 42 × (1 + 0.833333) = 42 × 1.833333 = 77.

In a spreadsheet: =(77-42)/42*100. 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%.

What the result means

The new value is 1.8333 times the old one: for every 100 at the start there are now 183.3333.

Prices: an item whose price rises from $42 to $77 has gone up by 83.3333%.

Why the change back is different

A 83.3333% rise followed by a 83.3333% fall does not bring you back to 42: it gives 12.8333. The second percentage is taken of 77, not of 42, so to undo this change you need 45.4545% instead.

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The other way round: Percentage difference from 77 to 42

Practice

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From 9 to 65 is a 622.2222% increase

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From 59 to 97 is a 64.4068% increase

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From 1 to 98 is a 9,700% increase

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From 75 to 99 is a 32% increase

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From 36 to 63 is a 75% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

What is the Percentage Difference from 42 to 77?

Going from 42 to 77 is a 83.3333% increase. Formula and steps.

Is going from 42 to 77 an increase or a decrease?

An increase: the value grew by 35, which is 83.3333% of the starting value.

What is the percentage change from 77 back to 42?

-45.4545%. It is a different number because the starting value is now 77, not 42.