105.8 is what percent of 100 - 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 100 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 100, so we can write it down as 100%=100.
4. We know, that x% equals 105.8 of the output value, so we can write it down as x%=105.8.
5. Now we have two simple equations:
1) 100%=100
2) x%=105.8
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%=100/105.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.8 is what percent of 100

100%/x%=100/105.8
(100/x)*x=(100/105.8)*x       - we multiply both sides of the equation by x
100=0.94517958412098*x       - we divide both sides of the equation by (0.94517958412098) to get x
100/0.94517958412098=x
105.8=x
x=105.8

now we have:
105.8 is 105.8% of 100