58.12 is what percent of 348.8 - 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 348.8 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 348.8, so we can write it down as 100%=348.8.
4. We know, that x% equals 58.12 of the output value, so we can write it down as x%=58.12.
5. Now we have two simple equations:
1) 100%=348.8
2) x%=58.12
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%=348.8/58.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.12 is what percent of 348.8

100%/x%=348.8/58.12
(100/x)*x=(348.8/58.12)*x       - we multiply both sides of the equation by x
100=6.0013764624914*x       - we divide both sides of the equation by (6.0013764624914) to get x
100/6.0013764624914=x
16.662844036697=x
x=16.662844036697

now we have:
58.12 is 16.662844036697% of 348.8