Percent of change math show work and formula?

Question

1. 56 to 71
2. 127 to 84
3. 20 to 24
4. 44 to 22
5. 16 to 12
6. 10 to 100
7. 20 to 40
8 10 to 50
9. 12 to 16
10. 80 to 100
11. 69 to 117
12 19 to 9
13. 95 to 145
14 88 to 26

Answer 1

71 - 56 = 15
15/56=26.7%.
Now go do the rest of your homework.

Answer 2

Oh come one. You don't think people are going to do your home work for you do you?. Let's learn how to do the first one, then you practice on the others.

Suppose you increase your work hours from 56 a week to 71 a week. You want to know the percent of increase.

First you need to know the siae of the increase. How many more hours did you work the second week than the first? Look like it would be 71-56 = 15 hours. So there is part of your formula. Subtract the original from the new.

Now you want to know the percent of increse, that is, what percent is the increase of 15 hours to the original amount you worked.

Let's make this easy. Suppose you orignially worked 30 hours and increased it to 45 hours. Then 45-30 = 15 tells you the size of the increase was 15 hours a week. How does this increase compare to the 30 hours you were working before? Well 15 is half of 30 so it is 50% of the original work week. Percent of increase is 50%. So your formula is

Percent of Increase = (new-original)/original

In your problem percent of increase is

= (71-56)/56) = 15/56 = 0.268 = 26.8% increase.

Now think through the others the same way. If you understand what inreases mean and what percents mean you will not need to remember any formula at all.

Get started!

Answer 3

((new - old) times 100) / old

Your first example.
((71 - 56) 100) / 56 = 15 times 100 / 56 = 1500/56
= 26.785714 ...

Answer 4

I believe the first one would be done like this:

(71-56)/56

And the rest would be done the same way.

New Number minus Old Number all divided by the Old Number.

Answer 5

I agree. New minus old and then divide by old. Make sure to multiply by 100 at the end.