How do I find the precentage value of an increase or decrease?

Question

For example

Amounts
$343,200 $385,000

Increase
41,800

percentage
12.2%

how do I determine that 41,800 is a 12.2% increase from 343,200 to 385,000?

I know there is a formula for dertermining that the change is 12.2% but I just can't remember it.

Answer 1

The formula is (new amount - old amount) divided by old amount.
That will give you a fraction; multiply it by 100 to get the percentage.

A mistake would be to divide the increase by the new amount.

Answer 2

A decrease of 12.2% from 385,000 would look something like:
385,000 times (1 - 0.122) = 338030
(when doing percentages, use decimals)
0.(tens column of percentage)(ones column of percentage)(decimals of percentage)
therefore 12.2% becomes 0.122
and 100% becomes 1.00
an increase would look something like this:
343,200 times (1.122) = 385070.4
changing percentages into decimals and then multiplying by 100% plus 12.2% which is 112.2% of the original value and in decimal form would be 1.122

Answer 3

385000 less 343200 equals 41800

41800 divided by 343200 equals 0.12179

rounding up to the second digit you get 0.122

now multiply by 100 for a percentage and you get 12.2% (increase)

if is a decrease (i.e. from 385000 to 343200) you simply take the difference and divide it by the larger number (in this case 385000)

41800 / 385000 = .0108

and you get a 10.8% decrease

Answer 4

Divide the small number by the big number

Answer 5

(New-old)/old.
In your case, (385000-343200)/343200.