17.13 is what percent of 92.06 - 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 92.06 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 92.06, so we can write it down as 100%=92.06.
4. We know, that x% equals 17.13 of the output value, so we can write it down as x%=17.13.
5. Now we have two simple equations:
1) 100%=92.06
2) x%=17.13
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%=92.06/17.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.13 is what percent of 92.06

100%/x%=92.06/17.13
(100/x)*x=(92.06/17.13)*x       - we multiply both sides of the equation by x
100=5.3741973146527*x       - we divide both sides of the equation by (5.3741973146527) to get x
100/5.3741973146527=x
18.607429936998=x
x=18.607429936998

now we have:
17.13 is 18.607429936998% of 92.06