46.82 is what percent of 170.55 - 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 170.55 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 170.55, so we can write it down as 100%=170.55.
4. We know, that x% equals 46.82 of the output value, so we can write it down as x%=46.82.
5. Now we have two simple equations:
1) 100%=170.55
2) x%=46.82
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%=170.55/46.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.82 is what percent of 170.55

100%/x%=170.55/46.82
(100/x)*x=(170.55/46.82)*x       - we multiply both sides of the equation by x
100=3.6426740709099*x       - we divide both sides of the equation by (3.6426740709099) to get x
100/3.6426740709099=x
27.452360011727=x
x=27.452360011727

now we have:
46.82 is 27.452360011727% of 170.55