58.45 is what percent of 105.2 - 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 105.2 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 105.2, so we can write it down as 100%=105.2.
4. We know, that x% equals 58.45 of the output value, so we can write it down as x%=58.45.
5. Now we have two simple equations:
1) 100%=105.2
2) x%=58.45
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%=105.2/58.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.45 is what percent of 105.2

100%/x%=105.2/58.45
(100/x)*x=(105.2/58.45)*x       - we multiply both sides of the equation by x
100=1.7998289136014*x       - we divide both sides of the equation by (1.7998289136014) to get x
100/1.7998289136014=x
55.560836501901=x
x=55.560836501901

now we have:
58.45 is 55.560836501901% of 105.2