106.58 is what percent of 905 - 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 905 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 905, so we can write it down as 100%=905.
4. We know, that x% equals 106.58 of the output value, so we can write it down as x%=106.58.
5. Now we have two simple equations:
1) 100%=905
2) x%=106.58
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%=905/106.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 106.58 is what percent of 905

100%/x%=905/106.58
(100/x)*x=(905/106.58)*x       - we multiply both sides of the equation by x
100=8.4912741602552*x       - we divide both sides of the equation by (8.4912741602552) to get x
100/8.4912741602552=x
11.77679558011=x
x=11.77679558011

now we have:
106.58 is 11.77679558011% of 905