Please can someone tell me how to do a maths sum to find out a percentage?!

[Radi06music]

Or maybe do the sum for me!

If pay goes up from 22703 to 24531 what is that as a percentage please?

8.06% increase

Ah thank you so much!

For tricky percentages percentagecalculator.net is very useful

Subtract. Then divide by original amount. Then times by 100.

I work out an increase of 7.5%, if my maths is right!

I’ve rounded there so a bit out! Ignore my reply and go with the earlier one!

Oh thank you!

(new - original)/original x 100%

Percentages are always done from the original amount.

1 work out the difference between the two numbers being compared.
2 divide the increase by the original number and multiply the answer by 100.
24531-22703 = 1828
1828/22703 = 0.0805
0.0805 x 100 = 8.05 ish

24,531 - 22,703 = 1,828

1,828/22,703 = 0.0805 which is 8.05% increase (can be checked by doing 22,703 x 1.0805 = 22,530.59 ie 24,531)

HTH x

You do the bigger number subtract the smaller number. Then divide the smaller number by the number you just got by subjecting. Then multiply that answer by 100.

So 24531-22703=1828
22703/1828=0.0851…
0.0851…x100=8.05

It’s 8.05% increase.

*24,530.59 - sorry for typo!

You got the right answer but described and wrote the wrong calculation.
Your middle division is upside down.

And 'smaller number' is correct in terms of increases, but not in case of reductions. Original is better wording.

If you copy this layout and formula into excel you can play about with the original and new salary amounts 🤓 (copy the formula into cell C2).

Your pay has increased by £1,828 which is 8% of your original salary (1828/22703 x 100).

You can sense check sums like this easily. 10% of 22,703 is apx. £2,270. So 5% is 1,135. So £1,828 is definitely more than 5% but less than 10 telling you that your 8% figure is probably correct.

Nice payrise! congratulations.

(change/original)x100

You need percentage calculator website in your life. Gamechanger

Interesting that you're all using a method which is correct, but much more time consuming on a calculator.
Surely easier to do
New salary/old salary = 1.0805
Subtract one to show that the increase is 0.0805.
Multiply by 100 to turn into a percentage increase of 8.05% if you can't see it by eye.

It would never have occurred to me for a moment to start by subtracting one number from the other to get a cash increase.

Explanation:

In order to find what percent has increased you first need to know how much has increased.

To take an easy example, imagine your pay went up from 100 to 110. If you subtract the old amount from the new (110-100) you get the amount of pay rise (10).

Now to find out what percentage this amount is from your previous pay, you divide the amount by the pay (10/100). In our example you get an answer of 0.1.

The reason this works is percentage is basically a different word for fraction (or part) out of 100. When you do amount divided by pay, you're asking what fraction of the pay is the amount. And as calculators return only decimal fractions, ie fractions out of 10, 100, 1000 etc, that answer is easily translated into percentage.

All you do now is multiply by 100, and you get the fraction out of 100, otherwise known as percentage. In our example it would be 0.1 x 100 = 10, so a 10% increase.

I always teach (change/original)x100

My thoughts too. Also helps capture reductions rather than increases.

New value / old value x 100 is the quickest way.

The amount by which the answer differs from 100 is the increase or decrease.

New price £12

Old Price £15

12 / 15 x 100 = 80%, so it's a 20% reduction