25.39 is what percent of 710.24 - 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 710.24 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 710.24, so we can write it down as 100%=710.24.
4. We know, that x% equals 25.39 of the output value, so we can write it down as x%=25.39.
5. Now we have two simple equations:
1) 100%=710.24
2) x%=25.39
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%=710.24/25.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.39 is what percent of 710.24

100%/x%=710.24/25.39
(100/x)*x=(710.24/25.39)*x       - we multiply both sides of the equation by x
100=27.973217802284*x       - we divide both sides of the equation by (27.973217802284) to get x
100/27.973217802284=x
3.5748479387249=x
x=3.5748479387249

now we have:
25.39 is 3.5748479387249% of 710.24