25.96 is what percent of 348.58 - 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 348.58 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 348.58, so we can write it down as 100%=348.58.
4. We know, that x% equals 25.96 of the output value, so we can write it down as x%=25.96.
5. Now we have two simple equations:
1) 100%=348.58
2) x%=25.96
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%=348.58/25.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.96 is what percent of 348.58

100%/x%=348.58/25.96
(100/x)*x=(348.58/25.96)*x       - we multiply both sides of the equation by x
100=13.427580893683*x       - we divide both sides of the equation by (13.427580893683) to get x
100/13.427580893683=x
7.4473578518561=x
x=7.4473578518561

now we have:
25.96 is 7.4473578518561% of 348.58