170.2 is what percent of 291.557 - 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 291.557 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 291.557, so we can write it down as 100%=291.557.
4. We know, that x% equals 170.2 of the output value, so we can write it down as x%=170.2.
5. Now we have two simple equations:
1) 100%=291.557
2) x%=170.2
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%=291.557/170.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 170.2 is what percent of 291.557

100%/x%=291.557/170.2
(100/x)*x=(291.557/170.2)*x       - we multiply both sides of the equation by x
100=1.7130258519389*x       - we divide both sides of the equation by (1.7130258519389) to get x
100/1.7130258519389=x
58.376235178713=x
x=58.376235178713

now we have:
170.2 is 58.376235178713% of 291.557