10.17 is what percent of 39.25 - 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 39.25 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 39.25, so we can write it down as 100%=39.25.
4. We know, that x% equals 10.17 of the output value, so we can write it down as x%=10.17.
5. Now we have two simple equations:
1) 100%=39.25
2) x%=10.17
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%=39.25/10.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.17 is what percent of 39.25

100%/x%=39.25/10.17
(100/x)*x=(39.25/10.17)*x       - we multiply both sides of the equation by x
100=3.8593903638151*x       - we divide both sides of the equation by (3.8593903638151) to get x
100/3.8593903638151=x
25.910828025478=x
x=25.910828025478

now we have:
10.17 is 25.910828025478% of 39.25