Question

What percent of 12.5 is 8?

Answer 1

1. We assume, that the number 12.5 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 12.5, so we can write it down as 100%=12.5.

4. We know, that x% equals 8 of the output value, so we can write it down as x%=8.

5. Now we have two simple equations:

1) 100%=12.5

2) x%=8

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=12.5/8

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8 is what percent of 12.5

100%/x%=12.5/8

(100/x)*x=(12.5/8)*x       - we multiply both sides of the equation by x

100=1.5625*x       - we divide both sides of the equation by (1.5625) to get x

100/1.5625=x

64=x

x=64

now we have:

8 is 64% of 12.5

Answer 2

64% of 12.5 is 8

the work is 12.5 times .64 = 8 :)