F.A.O. factor30 percentages

[Tilly2]

Hi factor, I hope you don't mind me 'calling' you.

Could you please remind me how to work out percentage increases.
If, for example I wanted to know the percentage increase from £543 to £565.

Then,I can stop asking questions on here about such things.
Thank you in anticipation

[HowardKennitby]

try here

http://www.how-to-work-out-percentages.co.uk/

[sunny-dave]

Work out the increase (565 - 543 = 22)

Divide by the original figure (543)

Multiply by 100

So 565-543 = 22

22/543 = 0.0405

0.0405 x 100 = 4.05%

[ChuckFickens]

565 - 543 = 22

22/543 = 0.041

0.039 * 100 = 4.1

It's a 4.1% increases

[Tilly2]

Thank you Howard. That's very useful.

[ChuckFickens]

Where did my random 0.039 come from!!!

0.041 * 100 = 4.1

[sunny-dave]

(deduction for VAT chuck ...)

[sunny-dave]

[possibly]

[factor-fiction]

Sorry I saw this too late, Tilly2, but you have some good answers.

Although I teach it the way sunny-dave explained it, in practice I simply divide the new figure by the old, subtract 1 and multiply by 100. (Sounds complicated but the answer jumps out at you after the first step.)

So in your case 565/543= 1.0405, so the percentage increase is 4.05

[sunny-dave]

That's neat factor30 - I think this old dog just learnt a new trick :)

[Tilly2]

So, £61 up to £100 is 100/61= 1.639 -1= 6.3% Is that correct?

I can do that!

Thanks to all of you for your very clear answers.

[factor-fiction]

Thanks, sunny-dave.
We all find ways which suit us. I don't teach it that way (except with students who are fully comfortable with percentages) but I think it's easier.

e.g.
Price increases from £25 to £32.
New price divided by old price = 32 ÷ 25= 1.28 so increase is 28%

[factor-fiction]

£61 up to £100
So 100/61 =1.639
So percentage increase is 63.9%

[Tilly2]

Thank you. I put a point in the wrong place.