6.58 is what percent of 58.75 - 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 58.75 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 58.75, so we can write it down as 100%=58.75.
4. We know, that x% equals 6.58 of the output value, so we can write it down as x%=6.58.
5. Now we have two simple equations:
1) 100%=58.75
2) x%=6.58
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%=58.75/6.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.58 is what percent of 58.75

100%/x%=58.75/6.58
(100/x)*x=(58.75/6.58)*x       - we multiply both sides of the equation by x
100=8.9285714285714*x       - we divide both sides of the equation by (8.9285714285714) to get x
100/8.9285714285714=x
11.2=x
x=11.2

now we have:
6.58 is 11.2% of 58.75