Math and percentages

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Sorry but stuck on stupid on this one.

If I have a random number – let’s say 545 and I reduce it by 20%. It’s reduced by 109 making it 436.

But if I want to increase it back to 545 I have to add 25%

Edit: Ahhhh Thank you all for this! Makes perfect sense now!

In: Mathematics

11 Answers

Anonymous 0 Comments

It struck me when you think about what you’re actually doing when you do percentages, which is multiplying by a decimal and that the opposite of multiplication is division.

So…

545 * 0.8 = 436

436 / 0.8 = 545

and dividing something by 0.8 = multiplying by 1.25 which is what causes the confusion.

1 / 0.8 = 1.25

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