677.59 is what percent of 12025.95 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 12025.95 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 12025.95, so we can write it down as 100%=12025.95.
4. We know, that x% equals 677.59 of the output value, so we can write it down as x%=677.59.
5. Now we have two simple equations:
1) 100%=12025.95
2) x%=677.59
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%=12025.95/677.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 677.59 is what percent of 12025.95

100%/x%=12025.95/677.59
(100/x)*x=(12025.95/677.59)*x       - we multiply both sides of the equation by x
100=17.748122020691*x       - we divide both sides of the equation by (17.748122020691) to get x
100/17.748122020691=x
5.6343989456134=x
x=5.6343989456134

now we have:
677.59 is 5.6343989456134% of 12025.95