58.22 is what percent of 2.709 - 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 2.709 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 2.709, so we can write it down as 100%=2.709.
4. We know, that x% equals 58.22 of the output value, so we can write it down as x%=58.22.
5. Now we have two simple equations:
1) 100%=2.709
2) x%=58.22
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%=2.709/58.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.22 is what percent of 2.709

100%/x%=2.709/58.22
(100/x)*x=(2.709/58.22)*x       - we multiply both sides of the equation by x
100=0.046530401923738*x       - we divide both sides of the equation by (0.046530401923738) to get x
100/0.046530401923738=x
2149.1325212255=x
x=2149.1325212255

now we have:
58.22 is 2149.1325212255% of 2.709