17.1 is what percent of 58.6 - 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 58.6 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 58.6, so we can write it down as 100%=58.6.
4. We know, that x% equals 17.1 of the output value, so we can write it down as x%=17.1.
5. Now we have two simple equations:
1) 100%=58.6
2) x%=17.1
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%=58.6/17.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.1 is what percent of 58.6

100%/x%=58.6/17.1
(100/x)*x=(58.6/17.1)*x       - we multiply both sides of the equation by x
100=3.4269005847953*x       - we divide both sides of the equation by (3.4269005847953) to get x
100/3.4269005847953=x
29.180887372014=x
x=29.180887372014

now we have:
17.1 is 29.180887372014% of 58.6