5.82 is what percent of 34.58 - 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 34.58 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 34.58, so we can write it down as 100%=34.58.
4. We know, that x% equals 5.82 of the output value, so we can write it down as x%=5.82.
5. Now we have two simple equations:
1) 100%=34.58
2) x%=5.82
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%=34.58/5.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.82 is what percent of 34.58

100%/x%=34.58/5.82
(100/x)*x=(34.58/5.82)*x       - we multiply both sides of the equation by x
100=5.9415807560137*x       - we divide both sides of the equation by (5.9415807560137) to get x
100/5.9415807560137=x
16.830537883169=x
x=16.830537883169

now we have:
5.82 is 16.830537883169% of 34.58