105.8 is what percent of 124 - 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 124 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 124, so we can write it down as 100%=124.
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%=124
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%=124/105.8
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 124

100%/x%=124/105.8
(100/x)*x=(124/105.8)*x       - we multiply both sides of the equation by x
100=1.17202268431*x       - we divide both sides of the equation by (1.17202268431) to get x
100/1.17202268431=x
85.322580645161=x
x=85.322580645161

now we have:
105.8 is 85.322580645161% of 124