Percentage

Percent of, percent change, and share

Worked example

Using the default values, percentage gives a first as a percentage of second of 25.0%.

Percentage — worked example
ItemValue
First is what % of second25.0%
First % of second2,500
Change from first to second+300.0%
Difference750
Second increased by first%3,500
Second reduced by first%-1,500

What you need

  • First number
  • Second number

Questions

How do I work out a percentage increase?

Subtract the old value from the new, divide by the old, and multiply by 100. Going from 250 to 1,000 is a 300% increase, not 400% — a common slip.

Why is a 50% fall not undone by a 50% rise?

Because the rise applies to the smaller number. ₹100 falling 50% leaves ₹50; a 50% rise on that returns ₹75. You need a 100% gain to recover a 50% loss.

Related

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