58 is what percent of 1106 - 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 1106 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 1106, so we can write it down as 100%=1106.
4. We know, that x% equals 58 of the output value, so we can write it down as x%=58.
5. Now we have two simple equations:
1) 100%=1106
2) x%=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%=1106/58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58 is what percent of 1106

100%/x%=1106/58
(100/x)*x=(1106/58)*x       - we multiply both sides of the equation by x
100=19.068965517241*x       - we divide both sides of the equation by (19.068965517241) to get x
100/19.068965517241=x
5.244122965642=x
x=5.244122965642

now we have:
58 is 5.244122965642% of 1106