5.82 is what percent of 34.9 - 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 34.9 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 34.9, so we can write it down as 100%=34.9.
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%=34.9
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%=34.9/5.82
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 34.9

100%/x%=34.9/5.82
(100/x)*x=(34.9/5.82)*x       - we multiply both sides of the equation by x
100=5.9965635738832*x       - we divide both sides of the equation by (5.9965635738832) to get x
100/5.9965635738832=x
16.676217765043=x
x=16.676217765043

now we have:
5.82 is 16.676217765043% of 34.9