Rounding to the nearest hundredth percent

The cost of dog food went up from $22 to $24. What percent of increase is this? Round answer to the nearest hundredth percent.

here's my work:

1/22= .045
1/24= .041
.045+.041= .086= .09 (what I thought was rounding to the hundredth percent)
So I get 9% increase.

I am told this is correct, but I did not round it by the nearest hundredth percent. So what am I missing?

you did round to the nearest hundredth percent.

1.00 is 1%
0.1 is one tenth of a percent.
0.01 is one hundredth of a percent.
you certainly do percentages a strange way.

in the old days the formula was

$24 - $22 = an increase of $2.

so the increase % would be $2 / $22 X 100.

(The reason that the 2 is divided by 22and not 24 is because the increase is a percentage of the original 22 .

You then multiply by 100 as percent means per hundred (centum = 100)

Thus the correct answer is 9.09 0909 etc%ie 9.09 % increase to the hundredth (two decimal points)

First of all, your methodology and answer are incorrect. You get the percent increase by dividing the increaase over the original value. So 24-22 = 2 then 2/22 = 0.0909 Convert this to a percent = 9.09%
It's not the decimal they wanted rounded to a hundreth, it was the percent.

Well, for one thing, your method is wrong.

The increase goes from 22 to 24. So it increases by 2, which is 2/22 of the original amount. 2/22 = 0.09090909... = 9.09090909... % Rounded to the nearest hundredth percent gives 9.09 %.

24 - 22 = 2

2 is what percent of 22?

2 = x/100 times 22
2 = 22x/100
2 = 11x/50
2(50) = 11x
100 = 11x
100/11 = x
9.09090909... = x

Answer: 9.09% increase

Do 24 - 22 / 22

You get 2/22, which simplifies to 1/11.

1/11 = 0.0909090.....

So that becomes 9.09%.

I hope this information was very helpful.

2/22 = 1/11 = 0.09090...= 9.09% to the nearest hundredth percent