25.64 is what percent of 339.47 - 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 339.47 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 339.47, so we can write it down as 100%=339.47.
4. We know, that x% equals 25.64 of the output value, so we can write it down as x%=25.64.
5. Now we have two simple equations:
1) 100%=339.47
2) x%=25.64
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%=339.47/25.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.64 is what percent of 339.47

100%/x%=339.47/25.64
(100/x)*x=(339.47/25.64)*x       - we multiply both sides of the equation by x
100=13.239859594384*x       - we divide both sides of the equation by (13.239859594384) to get x
100/13.239859594384=x
7.5529501870563=x
x=7.5529501870563

now we have:
25.64 is 7.5529501870563% of 339.47