105.93 is what percent of 2118.5 - 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 2118.5 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 2118.5, so we can write it down as 100%=2118.5.
4. We know, that x% equals 105.93 of the output value, so we can write it down as x%=105.93.
5. Now we have two simple equations:
1) 100%=2118.5
2) x%=105.93
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%=2118.5/105.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.93 is what percent of 2118.5

100%/x%=2118.5/105.93
(100/x)*x=(2118.5/105.93)*x       - we multiply both sides of the equation by x
100=19.999055980364*x       - we divide both sides of the equation by (19.999055980364) to get x
100/19.999055980364=x
5.0002360160491=x
x=5.0002360160491

now we have:
105.93 is 5.0002360160491% of 2118.5