10.58 is what percent of 11.33 - 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 11.33 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 11.33, so we can write it down as 100%=11.33.
4. We know, that x% equals 10.58 of the output value, so we can write it down as x%=10.58.
5. Now we have two simple equations:
1) 100%=11.33
2) x%=10.58
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%=11.33/10.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.58 is what percent of 11.33

100%/x%=11.33/10.58
(100/x)*x=(11.33/10.58)*x       - we multiply both sides of the equation by x
100=1.0708884688091*x       - we divide both sides of the equation by (1.0708884688091) to get x
100/1.0708884688091=x
93.380406001765=x
x=93.380406001765

now we have:
10.58 is 93.380406001765% of 11.33