2.58 is what percent of 34.37 - 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 34.37 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 34.37, so we can write it down as 100%=34.37.
4. We know, that x% equals 2.58 of the output value, so we can write it down as x%=2.58.
5. Now we have two simple equations:
1) 100%=34.37
2) x%=2.58
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%=34.37/2.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.58 is what percent of 34.37

100%/x%=34.37/2.58
(100/x)*x=(34.37/2.58)*x       - we multiply both sides of the equation by x
100=13.321705426357*x       - we divide both sides of the equation by (13.321705426357) to get x
100/13.321705426357=x
7.5065464067501=x
x=7.5065464067501

now we have:
2.58 is 7.5065464067501% of 34.37